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132100233210132 = 2231111176823131311
BaseRepresentation
bin11110000010010011111011…
…011110011010100100010100
3122022201122210101022210010220
4132002103323132122210110
5114303312234200211012
61144542002004314340
736552632632351125
oct3602237336324424
9568648711283126
10132100233210132
113910043788a360
1212995ab09a29b0
135892cc9a40445
142489984a5804c
15104136beca08c
hex7824fb79a914

132100233210132 has 96 divisors (see below), whose sum is σ = 336608063361024. Its totient is φ = 39988370044800.

The previous prime is 132100233210067. The next prime is 132100233210133. The reversal of 132100233210132 is 231012332001231.

It is a super-2 number, since 2×1321002332101322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132100233210133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1005944757 + ... + 1006076067.

It is an arithmetic number, because the mean of its divisors is an integer number (3506333993344).

Almost surely, 2132100233210132 is an apocalyptic number.

132100233210132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132100233210132 is an abundant number, since it is smaller than the sum of its proper divisors (204507830150892).

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

132100233210132 is a wasteful number, since it uses less digits than its factorization.

132100233210132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139269 (or 139267 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132100233210132 its reverse (231012332001231), we get a palindrome (363112565211363).

The spelling of 132100233210132 in words is "one hundred thirty-two trillion, one hundred billion, two hundred thirty-three million, two hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1117 2234 3351 4468 6702 6823 12287 13404 13646 20469 24574 27292 36861 40938 49148 73722 75053 81876 131311 147444 150106 225159 262622 300212 393933 450318 525244 787866 900636 1444421 1575732 2888842 4333263 5777684 7621291 8666526 15242582 17333052 22863873 30485164 45727746 83834201 91455492 146674387 167668402 251502603 293348774 335336804 440023161 503005206 586697548 880046322 895934953 1006010412 1613418257 1760092644 1791869906 2687804859 3226836514 3583739812 4840254771 5375609718 6453673028 9680509542 9855284483 10751219436 19361019084 19710568966 29565853449 39421137932 59131706898 118263413796 1000759342501 2001518685002 3002278027503 4003037370004 6004556055006 11008352767511 12009112110012 22016705535022 33025058302533 44033411070044 66050116605066 132100233210132