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213234043131 = 3429831517243
BaseRepresentation
bin1100011010010110111…
…1010100100011111011
3202101101122110201210000
43012211233110203323
511443200403340011
6241543001324043
721256065314064
oct3064557244373
9671348421700
10213234043131
118248307072a
12353ab796623
1317153037525
14a46b97156b
155830207356
hex31a5bd48fb

213234043131 has 80 divisors (see below), whose sum is σ = 335743752960. Its totient is φ = 134683819200.

The previous prime is 213234043129. The next prime is 213234043133. The reversal of 213234043131 is 131340432312.

It is a happy number.

213234043131 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 340 + 4 + 313 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (213234043129) and next prime (213234043133).

It is not a de Polignac number, because 213234043131 - 21 = 213234043129 is a prime.

It is a super-2 number, since 2×2132340431312 (a number of 23 digits) contains 22 as substring.

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 = 213234043095 and 213234043104.

It is not an unprimeable number, because it can be changed into a prime (213234043133) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29436396 + ... + 29443638.

It is an arithmetic number, because the mean of its divisors is an integer number (4196796912).

Almost surely, 2213234043131 is an apocalyptic number.

213234043131 is a deficient number, since it is larger than the sum of its proper divisors (122509709829).

213234043131 is a wasteful number, since it uses less digits than its factorization.

213234043131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7518 (or 7509 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 213234043131 its reverse (131340432312), we get a palindrome (344574475443).

The spelling of 213234043131 in words is "two hundred thirteen billion, two hundred thirty-four million, forty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 27 29 81 83 87 151 249 261 453 747 783 1359 2241 2349 2407 4077 4379 6723 7221 7243 12231 12533 13137 21663 21729 37599 39411 64989 65187 112797 118233 194967 195561 210047 338391 354699 363457 586683 601169 630141 1015173 1090371 1093693 1803507 1890423 3271113 3281079 5410521 5671269 9813339 9843237 16231563 17013807 17433901 29440017 29529711 31717097 48694689 52301703 88589133 90776519 95151291 156905109 272329557 285453873 470715327 816988671 856361619 1412145981 2450966013 2569084857 2632519051 7352898039 7897557153 23692671459 71078014377 213234043131