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10012332112 = 2419261157181
BaseRepresentation
bin10010101001100100…
…00001000001010000
3221211202222011121021
421110302001001100
5131001124111422
64333303005224
7503054263426
oct112462010120
927752864537
1010012332112
114278778342
121b35139814
13c37417693
146ada53116
153d8ee6dc7
hex254c81050

10012332112 has 120 divisors (see below), whose sum is σ = 21057501192. Its totient is φ = 4609612800.

The previous prime is 10012332103. The next prime is 10012332179. The reversal of 10012332112 is 21123321001.

It can be written as a sum of positive squares in 4 ways, for example, as 1216893456 + 8795438656 = 34884^2 + 93784^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55316662 + ... + 55316842.

Almost surely, 210012332112 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 10012332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10528750596).

10012332112 is an abundant number, since it is smaller than the sum of its proper divisors (11045169080).

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

10012332112 is a wasteful number, since it uses less digits than its factorization.

10012332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10012332112 its reverse (21123321001), we get a palindrome (31135653113).

The spelling of 10012332112 in words is "ten billion, twelve million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 61 76 122 152 157 181 244 304 314 361 362 488 628 722 724 976 1159 1256 1444 1448 2318 2512 2888 2896 2983 3439 4636 5776 5966 6878 9272 9577 11041 11932 13756 18544 19154 22021 22082 23864 27512 28417 38308 44042 44164 47728 55024 56677 56834 65341 76616 88084 88328 113354 113668 130682 153232 176168 176656 181963 209779 226708 227336 261364 352336 363926 419558 453416 454672 522728 539923 727852 839116 906832 1045456 1079846 1455704 1678232 1733437 2159692 2911408 3356464 3457297 3466874 3985801 4319384 6914594 6933748 7971602 8638768 10258537 13829188 13867496 15943204 20517074 27658376 27734992 31886408 32935303 41034148 55316752 63772816 65870606 82068296 131741212 164136592 263482424 526964848 625770757 1251541514 2503083028 5006166056 10012332112