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21875382081 = 32721961127337
BaseRepresentation
bin10100010111110111…
…111101011101000001
32002110112101112211100
4110113313331131001
5324300044211311
614014401205013
71403043452100
oct242767753501
962415345740
1021875382081
1193060a0373
1242a6030769
1320a809c187
1410b73c2037
15880714a56
hex517dfd741

21875382081 has 144 divisors (see below), whose sum is σ = 39752693760. Its totient is φ = 11522165760.

The previous prime is 21875382071. The next prime is 21875382103. The reversal of 21875382081 is 18028357812.

21875382081 is a `hidden beast` number, since 2 + 18 + 7 + 538 + 20 + 81 = 666.

It is not a de Polignac number, because 21875382081 - 25 = 21875382049 is a prime.

It is a super-2 number, since 2×218753820812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21875382071) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64911945 + ... + 64912281.

Almost surely, 221875382081 is an apocalyptic number.

21875382081 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21875382081 is a deficient number, since it is larger than the sum of its proper divisors (17877311679).

21875382081 is a wasteful number, since it uses less digits than its factorization.

21875382081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 21875382081 in words is "twenty-one billion, eight hundred seventy-five million, three hundred eighty-two thousand, eighty-one".

Divisors: 1 3 7 9 19 21 49 57 61 63 127 133 147 171 183 337 381 399 427 441 549 889 931 1011 1143 1159 1197 1281 2359 2413 2667 2793 2989 3033 3477 3843 6223 6403 7077 7239 7747 8001 8113 8379 8967 10431 16513 16891 18669 19209 20557 21231 21717 23241 24339 26901 42799 44821 49539 50673 54229 56007 56791 57627 61671 69723 73017 118237 128397 134463 143899 147193 148617 152019 162687 170373 185013 299593 313747 354711 379603 385191 390583 403389 431697 441579 488061 511119 813181 898779 941241 1007293 1030351 1064133 1138809 1171749 1295091 1324737 2097151 2439543 2610739 2696337 2734081 2823723 3021879 3091053 3416427 3515247 5692267 6291453 7212457 7318629 7832217 8202243 9065637 9273159 17076801 18275173 18874359 19138567 21637371 23496651 24606729 39845869 49604041 51230403 54825519 57415701 64912113 119537607 127926211 148812123 164476557 172247103 347228287 358612821 383778633 446436369 1041684861 1151335899 2430598009 3125054583 7291794027 21875382081