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221431473367031 = 192910327734134127
BaseRepresentation
bin110010010110010000001000…
…010011111110011111110111
31002001000122100002210001200102
4302112100020103332133313
5213010413124140221111
62102540114201504315
764432616222240144
oct6226201023763767
91061018302701612
10221431473367031
1164611619011104
1220a02aa04a209b
139672b8a86a585
143c974aa4653cb
151a8ee1a1e713b
hexc964084fe7f7

221431473367031 has 64 divisors (see below), whose sum is σ = 244473950822400. Its totient is φ = 199745974826496.

The previous prime is 221431473366989. The next prime is 221431473367061. The reversal of 221431473367031 is 130763374134122.

It is a cyclic number.

It is not a de Polignac number, because 221431473367031 - 210 = 221431473366007 is a prime.

It is a super-2 number, since 2×2214314733670312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221431473367061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53654340890 + ... + 53654345016.

It is an arithmetic number, because the mean of its divisors is an integer number (3819905481600).

Almost surely, 2221431473367031 is an apocalyptic number.

221431473367031 is a deficient number, since it is larger than the sum of its proper divisors (23042477455369).

221431473367031 is a wasteful number, since it uses less digits than its factorization.

221431473367031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7968.

The product of its (nonzero) digits is 1524096, while the sum is 47.

The spelling of 221431473367031 in words is "two hundred twenty-one trillion, four hundred thirty-one billion, four hundred seventy-three million, three hundred sixty-seven thousand, thirty-one".

Divisors: 1 19 29 103 277 551 1957 2987 3413 4127 5263 8033 28531 56753 64847 78413 98977 119683 152627 351539 425081 542089 827399 945401 1143179 1880563 2273977 6679241 8076539 10194631 12327349 14085451 15720581 17962619 21720401 27416629 33152191 97376303 117747437 193697989 234219631 267623569 408478079 520915951 629891629 1450801453 1850149757 2237201303 2823912787 3414675673 3901669927 7761083501 27565227607 42073242137 53654342953 64878837787 74131728613 113148427883 401872002481 799391600603 2149820129777 7635568047139 11654288071949 221431473367031