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10203121112112 = 24321394871046711
BaseRepresentation
bin1001010001111001100101…
…1010001101010000110000
31100010102001001102212020200
42110132121122031100300
52314131443001041422
633411125451235200
72102102565326445
oct224363132152060
940112031385220
1010203121112112
113284134966a15
121189524748b00
135901c4c850a6
14273b959419cc
1512a6173d12ac
hex9479968d430

10203121112112 has 120 divisors (see below), whose sum is σ = 28819079627520. Its totient is φ = 3369635821440.

The previous prime is 10203121112081. The next prime is 10203121112143. The reversal of 10203121112112 is 21121112130201.

It is a happy number.

10203121112112 is a `hidden beast` number, since 10 + 20 + 312 + 111 + 211 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10203121112081) and next prime (10203121112143).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9224437 + ... + 10271147.

It is an arithmetic number, because the mean of its divisors is an integer number (240158996896).

Almost surely, 210203121112112 is an apocalyptic number.

10203121112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10203121112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14409539813760).

10203121112112 is an abundant number, since it is smaller than the sum of its proper divisors (18615958515408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10203121112112 is a wasteful number, since it uses less digits than its factorization.

10203121112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047351 (or 1047342 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10203121112112 its reverse (21121112130201), we get a palindrome (31324233242313).

The spelling of 10203121112112 in words is "ten trillion, two hundred three billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 487 556 834 974 1112 1251 1461 1668 1948 2224 2502 2922 3336 3896 4383 5004 5844 6672 7792 8766 10008 11688 17532 20016 23376 35064 67693 70128 135386 203079 270772 406158 541544 609237 812316 1046711 1083088 1218474 1624632 2093422 2436948 3140133 3249264 4186844 4873896 6280266 8373688 9420399 9747792 12560532 16747376 18840798 25121064 37681596 50242128 75363192 145492829 150726384 290985658 436478487 509748257 581971316 872956974 1019496514 1163942632 1309435461 1529244771 1745913948 2038993028 2327885264 2618870922 3058489542 3491827896 4077986056 4587734313 5237741844 6116979084 6983655792 8155972112 9175468626 10475483688 12233958168 18350937252 20950967376 24467916336 36701874504 70855007723 73403749008 141710015446 212565023169 283420030892 425130046338 566840061784 637695069507 850260092676 1133680123568 1275390139014 1700520185352 2550780278028 3401040370704 5101560556056 10203121112112