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10210010110112 = 254143281644047
BaseRepresentation
bin1001010010010011010000…
…0001101001100010100000
31100011001211011022012220202
42110210310001221202200
52314240100042010422
633414225222324332
72102435366001641
oct224446401514240
940131734265822
1010210010110112
11328704a59509a
12118a9278896a8
13590a52294877
1427424a8456c8
1512a8bc0c0b92
hex949340698a0

10210010110112 has 96 divisors (see below), whose sum is σ = 21145105707264. Its totient is φ = 4847347814400.

The previous prime is 10210010110109. The next prime is 10210010110171. The reversal of 10210010110112 is 21101101001201.

It is a junction number, because it is equal to n+sod(n) for n = 10210010110093 and 10210010110102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15530873 + ... + 16174919.

It is an arithmetic number, because the mean of its divisors is an integer number (220261517784).

Almost surely, 210210010110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210010110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10572552853632).

10210010110112 is an abundant number, since it is smaller than the sum of its proper divisors (10935095597152).

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

10210010110112 is a wasteful number, since it uses less digits than its factorization.

10210010110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644422 (or 644414 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10210010110112 its reverse (21101101001201), we get a palindrome (31311111111313).

The spelling of 10210010110112 in words is "ten trillion, two hundred ten billion, ten million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 43 82 86 164 172 281 328 344 562 656 688 1124 1312 1376 1763 2248 3526 4496 7052 8992 11521 12083 14104 23042 24166 28208 46084 48332 56416 92168 96664 184336 193328 368672 386656 495403 644047 990806 1288094 1981612 2576188 3963224 5152376 7926448 10304752 15852896 20609504 26405927 27694021 52811854 55388042 105623708 110776084 180977207 211247416 221552168 361954414 422494832 443104336 723908828 844989664 886208672 1135454861 1447817656 2270909722 2895635312 4541819444 5791270624 7420065487 7782019901 9083638888 14840130974 15564039802 18167277776 29680261948 31128079604 36334555552 59360523896 62256159208 118721047792 124512318416 237442095584 249024636832 319062815941 638125631882 1276251263764 2552502527528 5105005055056 10210010110112