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10102321112 = 2313210769833
BaseRepresentation
bin10010110100010010…
…10010111111011000
3222002001022002022012
421122021102333120
5131142143233422
64350235445052
7505226212142
oct113211227730
928061262265
1010102321112
114314551414
121b5b2b6788
13c4cc64600
146bb999c92
153e1d704e2
hex25a252fd8

10102321112 has 48 divisors (see below), whose sum is σ = 20702987640. Its totient is φ = 4618967808.

The previous prime is 10102321067. The next prime is 10102321121. The reversal of 10102321112 is 21112320101.

10102321112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109748 + ... + 179580.

Almost surely, 210102321112 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 10102321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10351493820).

10102321112 is an abundant number, since it is smaller than the sum of its proper divisors (10600666528).

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

10102321112 is a wasteful number, since it uses less digits than its factorization.

10102321112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69972 (or 69955 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10102321112 its reverse (21112320101), we get a palindrome (31214641213).

The spelling of 10102321112 in words is "ten billion, one hundred two million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 107 169 214 338 428 676 856 1352 1391 2782 5564 11128 18083 36166 69833 72332 139666 144664 279332 558664 907829 1815658 3631316 7262632 7472131 11801777 14944262 23603554 29888524 47207108 59777048 94414216 97137703 194275406 388550812 777101624 1262790139 2525580278 5051160556 10102321112