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132131200010100 = 223522549172788283
BaseRepresentation
bin11110000010110000110001…
…001111011000011101110100
3122022211121201111211012202020
4132002300301033120131310
5114304314144200310400
61145004122454313140
736555110211663564
oct3602606117303564
9568747644735666
10132131200010100
1139112588830525
121299bab36587b0
135895bc34ba015
14248b28164ada4
1510420809282a0
hex782c313d8774

132131200010100 has 72 divisors (see below), whose sum is σ = 382449587805600. Its totient is φ = 35221163402880.

The previous prime is 132131200010093. The next prime is 132131200010143. The reversal of 132131200010100 is 1010002131231.

It is a happy number.

It is a super-3 number, since 3×1321312000101003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132131200010100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85629442 + ... + 87158841.

Almost surely, 2132131200010100 is an apocalyptic number.

132131200010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132131200010100 is an abundant number, since it is smaller than the sum of its proper divisors (250318387795500).

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

132131200010100 is a wasteful number, since it uses less digits than its factorization.

132131200010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172790849 (or 172790842 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 132131200010100 its reverse (1010002131231), we get a palindrome (133141202141331).

The spelling of 132131200010100 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, two hundred million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2549 5098 7647 10196 12745 15294 25490 30588 38235 50980 63725 76470 127450 152940 191175 254900 382350 764700 172788283 345576566 518364849 691153132 863941415 1036729698 1727882830 2073459396 2591824245 3455765660 4319707075 5183648490 8639414150 10367296980 12959121225 17278828300 25918242450 51836484900 440437333367 880874666734 1321312000101 1761749333468 2202186666835 2642624000202 4404373333670 5285248000404 6606560000505 8808746667340 11010933334175 13213120001010 22021866668350 26426240002020 33032800002525 44043733336700 66065600005050 132131200010100