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213020231032032 = 25331437771635091
BaseRepresentation
bin110000011011110110100011…
…001100110101110011100000
31000221020112110011101111110120
4300123312203030311303200
5210410110413121011112
62033020050531200240
762604126623114664
oct6033664314656340
91027215404344416
10213020231032032
1161969410a9a926
121ba848b8446080
1391b294c452b68
143a8633c8b08a4
1519962298cae8c
hexc1bda3335ce0

213020231032032 has 96 divisors (see below), whose sum is σ = 577229648292864. Its totient is φ = 68714591846400.

The previous prime is 213020231032009. The next prime is 213020231032039. The reversal of 213020231032032 is 230230132020312.

213020231032032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 213020231031993 and 213020231032011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213020231032039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129462807 + ... + 131097897.

It is an arithmetic number, because the mean of its divisors is an integer number (6012808836384).

Almost surely, 2213020231032032 is an apocalyptic number.

It is an amenable number.

213020231032032 is an abundant number, since it is smaller than the sum of its proper divisors (364209417260832).

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

213020231032032 is a wasteful number, since it uses less digits than its factorization.

213020231032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678912 (or 1678904 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 213020231032032 its reverse (230230132020312), we get a palindrome (443250363052344).

The spelling of 213020231032032 in words is "two hundred thirteen trillion, twenty billion, two hundred thirty-one million, thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 43777 87554 131331 175108 262662 350216 525324 700432 1050648 1357087 1400864 1635091 2101296 2714174 3270182 4071261 4202592 4905273 5428348 6540364 8142522 9810546 10856696 13080728 16285044 19621092 21713392 26161456 32570088 39242184 43426784 50687821 52322912 65140176 78484368 101375642 130280352 152063463 156968736 202751284 304126926 405502568 608253852 811005136 1216507704 1622010272 2433015408 4866030816 71579378707 143158757414 214738136121 286317514828 429476272242 572635029656 858952544484 1145270059312 1717905088968 2218960739917 2290540118624 3435810177936 4437921479834 6656882219751 6871620355872 8875842959668 13313764439502 17751685919336 26627528879004 35503371838672 53255057758008 71006743677344 106510115516016 213020231032032