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132202112023332 = 2232131747716163137
BaseRepresentation
bin11110000011110010110011…
…111011001111101100100100
3122100002101202111021201120200
4132003302303323033230210
5114311444411134221312
61145100451205030500
736563200402105131
oct3603626373175444
9570071674251520
10132202112023332
113913a66780a63a
12129b17a39b5430
13589c7b4876070
14249088b429588
151043d3113a0dc
hex783cb3ecfb24

132202112023332 has 72 divisors (see below), whose sum is σ = 359904141278136. Its totient is φ = 40675242921984.

The previous prime is 132202112023187. The next prime is 132202112023343. The reversal of 132202112023332 is 233320211202231.

132202112023332 is a `hidden beast` number, since 1 + 3 + 2 + 202 + 1 + 120 + 2 + 3 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12267548280036 + 119934563743296 = 3502506^2 + 10951464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132202112023296 and 132202112023305.

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, 97668 + ... + 16260804.

It is an arithmetic number, because the mean of its divisors is an integer number (4998668628863).

Almost surely, 2132202112023332 is an apocalyptic number.

132202112023332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132202112023332 is an abundant number, since it is smaller than the sum of its proper divisors (227702029254804).

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

132202112023332 is a wasteful number, since it uses less digits than its factorization.

132202112023332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16180637 (or 16180632 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 132202112023332 its reverse (233320211202231), we get a palindrome (365522323225563).

The spelling of 132202112023332 in words is "one hundred thirty-two trillion, two hundred two billion, one hundred twelve million, twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 17477 34954 52431 69908 104862 157293 209724 227201 314586 454402 629172 681603 908804 1363206 2044809 2726412 4089618 8179236 16163137 32326274 48489411 64652548 96978822 145468233 193957644 210120781 290936466 420241562 581872932 630362343 840483124 1260724686 1891087029 2521449372 3782174058 7564348116 282483145349 564966290698 847449436047 1129932581396 1694898872094 2542348308141 3389797744188 3672280889537 5084696616282 7344561779074 10169393232564 11016842668611 14689123558148 22033685337222 33050528005833 44067370674444 66101056011666 132202112023332