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10281381192 = 233483918911
BaseRepresentation
bin10011001001101000…
…10110110101001000
3222112112020021120000
421210310112311020
5132024013144232
64420113403000
7512532204165
oct114464266510
928475207500
1010281381192
1143a6631955
121bab269460
13c7b099714
146d768b06c
1540294027c
hex264d16d48

10281381192 has 80 divisors (see below), whose sum is σ = 28833235200. Its totient is φ = 3422861280.

The previous prime is 10281381163. The next prime is 10281381203. The reversal of 10281381192 is 29118318201.

It is a happy number.

10281381192 is a `hidden beast` number, since 10 + 2 + 81 + 381 + 192 = 666.

It is a super-2 number, since 2×102813811922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 534217 + ... + 553127.

It is an arithmetic number, because the mean of its divisors is an integer number (360415440).

Almost surely, 210281381192 is an apocalyptic number.

10281381192 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 10281381192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14416617600).

10281381192 is an abundant number, since it is smaller than the sum of its proper divisors (18551854008).

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

10281381192 is a wasteful number, since it uses less digits than its factorization.

10281381192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19768 (or 19755 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

Adding to 10281381192 its reverse (29118318201), we get a palindrome (39399699393).

The spelling of 10281381192 in words is "ten billion, two hundred eighty-one million, three hundred eighty-one thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 839 1678 2517 3356 5034 6712 7551 10068 15102 18911 20136 22653 30204 37822 45306 56733 60408 67959 75644 90612 113466 135918 151288 170199 181224 226932 271836 340398 453864 510597 543672 680796 1021194 1361592 1531791 2042388 3063582 4084776 6127164 12254328 15866329 31732658 47598987 63465316 95197974 126930632 142796961 190395948 285593922 380791896 428390883 571187844 856781766 1142375688 1285172649 1713563532 2570345298 3427127064 5140690596 10281381192