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112031132032 = 2723532273163
BaseRepresentation
bin110100001010110010…
…0110110100110000000
3101201011122100011201101
41220111210312212000
53313414432211112
6123244423544144
711044143624121
oct1502544664600
9351148304641
10112031132032
114356a720726
1219866bbb054
13a745254591
1455cac64048
152daa5a9757
hex1a15936980

112031132032 has 128 divisors (see below), whose sum is σ = 238405628160. Its totient is φ = 52321032192.

The previous prime is 112031132027. The next prime is 112031132069. The reversal of 112031132032 is 230231130211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 35417683 + ... + 35420845.

It is an arithmetic number, because the mean of its divisors is an integer number (1862543970).

Almost surely, 2112031132032 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 112031132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119202814080).

112031132032 is an abundant number, since it is smaller than the sum of its proper divisors (126374496128).

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

112031132032 is a wasteful number, since it uses less digits than its factorization.

112031132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 112031132032 its reverse (230231130211), we get a palindrome (342262262243).

The spelling of 112031132032 in words is "one hundred twelve billion, thirty-one million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 53 64 92 106 128 184 212 227 368 424 454 736 848 908 1219 1472 1696 1816 2438 2944 3163 3392 3632 4876 5221 6326 6784 7264 9752 10442 12031 12652 14528 19504 20884 24062 25304 29056 39008 41768 48124 50608 72749 78016 83536 96248 101216 145498 156032 167072 167639 192496 202432 276713 290996 334144 335278 384992 404864 553426 581992 668288 670556 718001 769984 1106852 1163984 1341112 1436002 1539968 2213704 2327968 2682224 2872004 3855697 4427408 4655936 5364448 5744008 7711394 8854816 9311872 10728896 11488016 15422788 16514023 17709632 21457792 22976032 30845576 33028046 35419264 38054053 45952064 61691152 66056092 76108106 91904128 123382304 132112184 152216212 246764608 264224368 304432424 493529216 528448736 608864848 875243219 1056897472 1217729696 1750486438 2113794944 2435459392 3500972876 4870918784 7001945752 14003891504 28007783008 56015566016 112031132032