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210132131231133 = 3383975491228789
BaseRepresentation
bin101111110001110100110011…
…000010011011010110011101
31000120000102202112002022112000
4233301310303002123112131
5210020301101043344013
62022525211325232513
762155355046630246
oct5761646302332635
91016012675068460
10210132131231133
1160a55599a45a41
121b699021702739
1390334b49c3227
1439c66412b7ccd
151946043ecb973
hexbf1d3309b59d

210132131231133 has 32 divisors (see below), whose sum is σ = 311719447200000. Its totient is φ = 139902468273216.

The previous prime is 210132131231047. The next prime is 210132131231171. The reversal of 210132131231133 is 331132131231012.

210132131231133 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 3 + 2 + 1 + 312 + 311 + 33 = 666.

It is not a de Polignac number, because 210132131231133 - 29 = 210132131230621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 210132131231097 and 210132131231106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210132131231233) 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, 170393103 + ... + 171621891.

It is an arithmetic number, because the mean of its divisors is an integer number (9741232725000).

Almost surely, 2210132131231133 is an apocalyptic number.

It is an amenable number.

210132131231133 is a deficient number, since it is larger than the sum of its proper divisors (101587315968867).

210132131231133 is a wasteful number, since it uses less digits than its factorization.

210132131231133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237186 (or 1237180 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 210132131231133 its reverse (331132131231012), we get a palindrome (541264262462145).

The spelling of 210132131231133 in words is "two hundred ten trillion, one hundred thirty-two billion, one hundred thirty-one million, two hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 27 839 2517 7549 7551 22647 22653 67941 203823 1228789 3686367 6333611 11059101 19000833 33177303 57002499 171007497 1030953971 3092861913 9276128161 9278585739 27828384483 27835757217 83485153449 250455460347 7782671527079 23348014581237 70044043743711 210132131231133