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21292532001 = 3213193129967
BaseRepresentation
bin10011110101001000…
…100100000100100001
32000221220122200211100
4103311020210010201
5322101342011001
613440500505013
71352435351526
oct236510440441
960856580740
1021292532001
119037096494
1241629ab169
1320143c9680
14105dc2114d
15849483586
hex4f5224121

21292532001 has 72 divisors (see below), whose sum is σ = 36029535360. Its totient is φ = 12011820480.

The previous prime is 21292531987. The next prime is 21292532017. The reversal of 21292532001 is 10023529212.

It is a happy number.

21292532001 is a `hidden beast` number, since 2 + 129 + 2 + 532 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 21292532001 - 227 = 21158314273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21292532101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2131320 + ... + 2141286.

Almost surely, 221292532001 is an apocalyptic number.

It is an amenable number.

21292532001 is a deficient number, since it is larger than the sum of its proper divisors (14737003359).

21292532001 is a wasteful number, since it uses less digits than its factorization.

21292532001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10067 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 21292532001 in words is "twenty-one billion, two hundred ninety-two million, five hundred thirty-two thousand, one".

Divisors: 1 3 9 13 19 31 39 57 93 117 171 247 279 403 589 741 961 1209 1767 2223 2883 3627 5301 7657 8649 9967 12493 18259 22971 29901 37479 54777 68913 89703 112437 129571 164331 189373 237367 308977 388713 568119 712101 926931 1166139 1704357 2136303 2461849 2780793 4016701 5870563 7385547 9578287 12050103 17611689 22156641 28734861 36150309 52835067 76317319 86204583 124517731 181987453 228951957 373553193 545962359 686855871 1120659579 1637887077 2365836889 7097510667 21292532001