Search a number
-
+
132320100101220 = 223252433730205517
BaseRepresentation
bin11110000101100000101100…
…100100000010110001100100
3122100111200022021200002210100
4132011200230210002301210
5114320413031111214340
61145231003111024100
736604545301162323
oct3605405444026144
9570450267602710
10132320100101220
1139185703a24909
1212a1063196b030
1358aa968ca0675
1424964814920ba
151046e39675830
hex78582c902c64

132320100101220 has 72 divisors (see below), whose sum is σ = 401387475807864. Its totient is φ = 35283908994048.

The previous prime is 132320100101153. The next prime is 132320100101251. The reversal of 132320100101220 is 22101001023231.

132320100101220 is a `hidden beast` number, since 1 + 323 + 20 + 1 + 0 + 0 + 101 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55249013289024 + 77071086812196 = 7432968^2 + 8779014^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 132320100101193 and 132320100101202.

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, 10722099 + ... + 19483418.

It is an arithmetic number, because the mean of its divisors is an integer number (5574826052887).

Almost surely, 2132320100101220 is an apocalyptic number.

132320100101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132320100101220 is an abundant number, since it is smaller than the sum of its proper divisors (269067375706644).

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

132320100101220 is a wasteful number, since it uses less digits than its factorization.

132320100101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30229869 (or 30229864 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132320100101220 its reverse (22101001023231), we get a palindrome (154421101124451).

The spelling of 132320100101220 in words is "one hundred thirty-two trillion, three hundred twenty billion, one hundred million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 24337 48674 73011 97348 121685 146022 219033 243370 292044 365055 438066 486740 730110 876132 1095165 1460220 2190330 4380660 30205517 60411034 90616551 120822068 151027585 181233102 271849653 302055170 362466204 453082755 543699306 604110340 906165510 1087398612 1359248265 1812331020 2718496530 5436993060 735111667229 1470223334458 2205335001687 2940446668916 3675558336145 4410670003374 6616005005061 7351116672290 8821340006748 11026675008435 13232010010122 14702233344580 22053350016870 26464020020244 33080025025305 44106700033740 66160050050610 132320100101220