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21629111301 = 32719791271801
BaseRepresentation
bin10100001001001100…
…100000110000000101
32001211100222200211100
4110021030200300011
5323244023030201
613534122530313
71363663261350
oct241114406005
961740880740
1021629111301
11919a0844a6
124237666999
132069064015
1410927d7297
15868cba886
hex509320c05

21629111301 has 96 divisors (see below), whose sum is σ = 38381158400. Its totient is φ = 11463379200.

The previous prime is 21629111299. The next prime is 21629111311. The reversal of 21629111301 is 10311192612.

It is a happy number.

21629111301 is a `hidden beast` number, since 2 + 1 + 629 + 1 + 1 + 1 + 30 + 1 = 666.

It is not a de Polignac number, because 21629111301 - 21 = 21629111299 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21629111311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12008601 + ... + 12010401.

Almost surely, 221629111301 is an apocalyptic number.

21629111301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21629111301 is a deficient number, since it is larger than the sum of its proper divisors (16752047099).

21629111301 is a wasteful number, since it uses less digits than its factorization.

21629111301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 21629111301 in words is "twenty-one billion, six hundred twenty-nine million, one hundred eleven thousand, three hundred one".

Divisors: 1 3 7 9 19 21 57 63 79 127 133 171 237 381 399 553 711 889 1143 1197 1501 1659 1801 2413 2667 4503 4977 5403 7239 8001 10033 10507 12607 13509 16209 16891 21717 30099 31521 34219 37821 50673 70231 90297 94563 102657 113463 142279 152019 190627 210693 228727 239533 307971 426837 571881 632079 686181 718599 995953 1280511 1334389 1601089 1715643 2058543 2155797 2703301 2987859 4003167 4345813 4803267 8109903 8963577 12009501 13037439 14409801 18069433 18923107 24329709 30420691 39112317 54208299 56769321 91262073 126486031 162624897 170307963 273786219 343319227 379458093 1029957681 1138374279 2403234589 3089873043 7209703767 21629111301