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132100233210200 = 235222320233146389
BaseRepresentation
bin11110000010010011111011…
…011110011010100101011000
3122022201122210101022210020102
4132002103323132122211120
5114303312234200211300
61144542002004314532
736552632632351253
oct3602237336324530
9568648711283212
10132100233210200
113910043788a412
1212995ab09a2a48
135892cc9a40498
142489984a5809a
15104136beca0d5
hex7824fb79a958

132100233210200 has 96 divisors (see below), whose sum is σ = 308527675881600. Its totient is φ = 52600183004160.

The previous prime is 132100233210199. The next prime is 132100233210263. The reversal of 132100233210200 is 2012332001231.

It is a super-2 number, since 2×1321002332102002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 902318606 + ... + 902464994.

It is an arithmetic number, because the mean of its divisors is an integer number (3213829957100).

Almost surely, 2132100233210200 is an apocalyptic number.

132100233210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132100233210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154263837940800).

132100233210200 is an abundant number, since it is smaller than the sum of its proper divisors (176427442671400).

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

132100233210200 is a wasteful number, since it uses less digits than its factorization.

132100233210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166861 (or 166852 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 132100233210200 its reverse (2012332001231), we get a palindrome (134112565211431).

The spelling of 132100233210200 in words is "one hundred thirty-two trillion, one hundred billion, two hundred thirty-three million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 223 446 892 1115 1784 2230 4460 5575 8920 11150 20233 22300 40466 44600 80932 101165 146389 161864 202330 292778 404660 505825 585556 731945 809320 1011650 1171112 1463890 2023300 2927780 3659725 4046600 4511959 5855560 7319450 9023918 14638900 18047836 22559795 29277800 32644747 36095672 45119590 65289494 90239180 112798975 130578988 163223735 180478360 225597950 261157976 326447470 451195900 652894940 816118675 902391800 1305789880 1632237350 2961888637 3264474700 5923777274 6528949400 11847554548 14809443185 23695109096 29618886370 59237772740 74047215925 118475545480 148094431850 296188863700 592377727400 660501166051 1321002332102 2642004664204 3302505830255 5284009328408 6605011660510 13210023321020 16512529151275 26420046642040 33025058302550 66050116605100 132100233210200