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132110311321032 = 233111913434960149
BaseRepresentation
bin11110000010011101010100…
…001011010110110111001000
3122022202121210202001212021120
4132002131110023112313020
5114303443404144233112
61144550350021235240
736553440446030502
oct3602352413266710
9568677722055246
10132110311321032
11391047396a5230
1212997a43b62b20
135893c44979185
14248a25d310d72
15104175bb66e8c
hex7827542d6dc8

132110311321032 has 128 divisors (see below), whose sum is σ = 360578077200000. Its totient is φ = 40002635171840.

The previous prime is 132110311321031. The next prime is 132110311321049. The reversal of 132110311321032 is 230123113011231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 132110311320993 and 132110311321011.

It is not an unprimeable number, because it can be changed into a prime (132110311321031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2196354094 + ... + 2196414242.

It is an arithmetic number, because the mean of its divisors is an integer number (2817016228125).

Almost surely, 2132110311321032 is an apocalyptic number.

132110311321032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132110311321032 is an abundant number, since it is smaller than the sum of its proper divisors (228467765878968).

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

132110311321032 is a wasteful number, since it uses less digits than its factorization.

132110311321032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66431 (or 66427 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 132110311321032 its reverse (230123113011231), we get a palindrome (362233424332263).

The spelling of 132110311321032 in words is "one hundred thirty-two trillion, one hundred ten billion, three hundred eleven million, three hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1913 3826 4349 5739 7652 8698 11478 13047 15304 17396 21043 22956 26094 34792 42086 45912 47839 52188 60149 63129 84172 95678 104376 120298 126258 143517 168344 180447 191356 240596 252516 287034 360894 382712 481192 505032 574068 661639 721788 1148136 1323278 1443576 1984917 2646556 3969834 5293112 7939668 8319637 15879336 16639274 24958911 33278548 49917822 66557096 91516007 99835644 115065037 183032014 199671288 230130074 261588001 274548021 345195111 366064028 460260148 523176002 549096042 690390222 732128056 784764003 920520296 1046352004 1098192084 1265715407 1380780444 1569528006 2092704008 2196384168 2531430814 2761560888 2877468011 3139056012 3797146221 5062861628 5754936022 6278112024 7594292442 8632404033 10125723256 11509872044 15188584884 17264808066 23019744088 30377169768 34529616132 69059232264 500417845913 1000835691826 1501253537739 2001671383652 3002507075478 4003342767304 5504596305043 6005014150956 11009192610086 12010028301912 16513788915129 22018385220172 33027577830258 44036770440344 66055155660516 132110311321032