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132132012022032 = 243111511657284919
BaseRepresentation
bin11110000010110001100001…
…101000111101100100010000
3122022211200211002202200201020
4132002301201220331210100
5114304322330034201112
61145004335222435440
736555136301656401
oct3602614150754420
9568750732680636
10132132012022032
1139112965126070
12129a009b592b80
135895cc27b7459
14248b31b4219a8
1510420cbd7448c
hex782c61a3d910

132132012022032 has 80 divisors (see below), whose sum is σ = 374838074065920. Its totient is φ = 39774838032000.

The previous prime is 132132012022019. The next prime is 132132012022111. The reversal of 132132012022032 is 230220210231231.

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 = 132132012021993 and 132132012022011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 828562732 + ... + 828722187.

It is an arithmetic number, because the mean of its divisors is an integer number (4685475925824).

Almost surely, 2132132012022032 is an apocalyptic number.

132132012022032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132132012022032 is an abundant number, since it is smaller than the sum of its proper divisors (242706062043888).

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

132132012022032 is a wasteful number, since it uses less digits than its factorization.

132132012022032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657285092 (or 1657285086 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132132012022032 its reverse (230220210231231), we get a palindrome (362352222253263).

The spelling of 132132012022032 in words is "one hundred thirty-two trillion, one hundred thirty-two billion, twelve million, twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 151 176 264 302 453 528 604 906 1208 1661 1812 2416 3322 3624 4983 6644 7248 9966 13288 19932 26576 39864 79728 1657284919 3314569838 4971854757 6629139676 9943709514 13258279352 18230134109 19887419028 26516558704 36460268218 39774838056 54690402327 72920536436 79549676112 109380804654 145841072872 218761609308 250250022769 291682145744 437523218616 500500045538 750750068307 875046437232 1001000091076 1501500136614 2002000182152 2752750250459 3003000273228 4004000364304 5505500500918 6006000546456 8258250751377 11011001001836 12012001092912 16516501502754 22022002003672 33033003005508 44044004007344 66066006011016 132132012022032