Search a number
-
+
32101313112 = 233211172140249
BaseRepresentation
bin11101111001011000…
…110010101001011000
310001212012021200001200
4131321120302221120
51011220414004422
622425214314200
72214333442101
oct357130625130
9101765250050
1032101313112
1112683399740
12627a7b8960
13304782283b
1417a75573a8
15c7d3502ac
hex779632a58

32101313112 has 144 divisors (see below), whose sum is σ = 100752795000. Its totient is φ = 9155389440.

The previous prime is 32101313087. The next prime is 32101313113. The reversal of 32101313112 is 21131310123.

32101313112 is a `hidden beast` number, since 321 + 0 + 1 + 31 + 311 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32101313113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158764 + ... + 299012.

Almost surely, 232101313112 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 32101313112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50376397500).

32101313112 is an abundant number, since it is smaller than the sum of its proper divisors (68651481888).

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

32101313112 is a wasteful number, since it uses less digits than its factorization.

32101313112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140306 (or 140282 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 32101313112 its reverse (21131310123), we get a palindrome (53232623235).

The spelling of 32101313112 in words is "thirty-two billion, one hundred one million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 289 306 374 396 408 561 578 612 748 792 867 1122 1156 1224 1496 1683 1734 2244 2312 2601 3179 3366 3468 4488 5202 6358 6732 6936 9537 10404 12716 13464 19074 20808 25432 28611 38148 57222 76296 114444 140249 228888 280498 420747 560996 841494 1121992 1262241 1542739 1682988 2384233 2524482 3085478 3365976 4628217 4768466 5048964 6170956 7152699 9256434 9536932 10097928 12341912 13884651 14305398 18512868 19073864 21458097 26226563 27769302 28610796 37025736 40531961 42916194 52453126 55538604 57221592 78679689 81063922 85832388 104906252 111077208 121595883 157359378 162127844 171664776 209812504 236039067 243191766 314718756 324255688 364787649 445851571 472078134 486383532 629437512 729575298 891703142 944156268 972767064 1337554713 1459150596 1783406284 1888312536 2675109426 2918301192 3566812568 4012664139 5350218852 8025328278 10700437704 16050656556 32101313112