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21205454031 = 324767374489
BaseRepresentation
bin10011101111111100…
…011000110011001111
32000201211210200022100
4103233330120303033
5321412044012111
613424110250143
71350330246066
oct235774306317
960654720270
1021205454031
118aa1a20523
1241397b6953
131ccc35b748
1410524351dd
158419d2756
hex4eff18ccf

21205454031 has 24 divisors (see below), whose sum is σ = 31328706240. Its totient is φ = 13815438336.

The previous prime is 21205454027. The next prime is 21205454047. The reversal of 21205454031 is 13045450212.

21205454031 is a `hidden beast` number, since 2 + 1 + 205 + 454 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 21205454031 - 22 = 21205454027 is a prime.

It is a super-2 number, since 2×212054540312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21205453986 and 21205454004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21205454021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247435 + ... + 321923.

It is an arithmetic number, because the mean of its divisors is an integer number (1305362760).

Almost surely, 221205454031 is an apocalyptic number.

21205454031 is a deficient number, since it is larger than the sum of its proper divisors (10123252209).

21205454031 is a wasteful number, since it uses less digits than its factorization.

21205454031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75215 (or 75212 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

It can be divided in two parts, 212054 and 54031, that added together give a triangular number (266085 = T729).

The spelling of 21205454031 in words is "twenty-one billion, two hundred five million, four hundred fifty-four thousand, thirty-one".

Divisors: 1 3 9 47 141 423 673 2019 6057 31631 74489 94893 223467 284679 670401 3500983 10502949 31508847 50131097 150393291 451179873 2356161559 7068484677 21205454031