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132225602112 = 2632937724481
BaseRepresentation
bin111101100100101000…
…0101001001001000000
3110122022000210112202200
41323021100221021000
54131244223231422
6140424341313200
712360450034152
oct1731120511100
9418260715680
10132225602112
11510929a5a1a
1221762105800
13c612ccb466
146584cccad2
15368d43b2ac
hex1ec9429240

132225602112 has 84 divisors (see below), whose sum is σ = 379056715596. Its totient is φ = 44068700160.

The previous prime is 132225602107. The next prime is 132225602189. The reversal of 132225602112 is 211206522231.

132225602112 is a `hidden beast` number, since 1 + 3 + 22 + 25 + 602 + 1 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6211961856 + 126013640256 = 78816^2 + 354984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5388912 + ... + 5413392.

Almost surely, 2132225602112 is an apocalyptic number.

132225602112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132225602112 is an abundant number, since it is smaller than the sum of its proper divisors (246831113484).

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

132225602112 is a wasteful number, since it uses less digits than its factorization.

132225602112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33876 (or 33863 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 132225602112 in words is "one hundred thirty-two billion, two hundred twenty-five million, six hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 9377 18754 24481 28131 37508 48962 56262 73443 75016 84393 97924 112524 146886 150032 168786 195848 220329 225048 293772 300064 337572 391696 440658 450096 587544 600128 675144 783392 881316 900192 1175088 1350288 1566784 1762632 1800384 2350176 2700576 3525264 4700352 5401152 7050528 14101056 229558337 459116674 688675011 918233348 1377350022 1836466696 2066025033 2754700044 3672933392 4132050066 5509400088 7345866784 8264100132 11018800176 14691733568 16528200264 22037600352 33056400528 44075200704 66112801056 132225602112