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112132022012332 = 227237691783126989
BaseRepresentation
bin11001011111101111000101…
…010101110000100110101100
3112201000201100102002202011121
4121133233011111300212230
5104144132340113343312
61034252423442430324
732422162015563640
oct3137570525604654
9481021312082147
10112132022012332
1132801a18171983
12106abb2b3623a4
134a750095c0a4a
141d9930c644c20
15ce6c27d13707
hex65fbc55709ac

112132022012332 has 96 divisors (see below), whose sum is σ = 234452229580800. Its totient is φ = 45881280479232.

The previous prime is 112132022012323. The next prime is 112132022012383. The reversal of 112132022012332 is 233210220231211.

It is a super-3 number, since 3×1121320220123323 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112132022012297 and 112132022012306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 882942294 + ... + 883069282.

It is an arithmetic number, because the mean of its divisors is an integer number (2442210724800).

Almost surely, 2112132022012332 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 112132022012332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117226114790400).

112132022012332 is an abundant number, since it is smaller than the sum of its proper divisors (122320207568468).

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

112132022012332 is a wasteful number, since it uses less digits than its factorization.

112132022012332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129575 (or 129573 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 112132022012332 its reverse (233210220231211), we get a palindrome (345342242243543).

The spelling of 112132022012332 in words is "one hundred twelve trillion, one hundred thirty-two billion, twenty-two million, twelve thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 769 1538 1783 3076 3566 5383 7132 10766 12481 17687 21532 24962 35374 41009 49924 70748 82018 123809 126989 164036 247618 253978 287063 495236 507956 574126 888923 1148252 1371127 1777846 2742254 2920747 3555692 5484508 5841494 9597889 11682988 19195778 20445229 31535921 38391556 40890458 63071842 81780916 97654541 126143684 195309082 220751447 226421387 390618164 441502894 452842774 683581787 883005788 905685548 1367163574 1584949709 2246054443 2734327148 3169899418 4492108886 5207691901 6339798836 8984217772 10415383802 15722381101 20830767604 31444762202 36453843307 62889524404 72907686614 145815373228 174118046603 348236093206 696472186412 1218826326221 2437652652442 4004715071869 4875305304884 8009430143738 16018860287476 28033005503083 56066011006166 112132022012332