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21997337901 = 37112172412113
BaseRepresentation
bin10100011111001001…
…001011110100101101
32002210000212112202120
4110133021023310231
5330022304303101
614034435143153
71406054200320
oct243711136455
962700775676
1021997337901
119368a18600
12431aa44ab9
1320c742c396
1410c968a7b7
1588b2a4b36
hex51f24bd2d

21997337901 has 96 divisors (see below), whose sum is σ = 39191733504. Its totient is φ = 10705305600.

The previous prime is 21997337899. The next prime is 21997337909. The reversal of 21997337901 is 10973379912.

It is a happy number.

It is not a de Polignac number, because 21997337901 - 21 = 21997337899 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21997337909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10409421 + ... + 10411533.

It is an arithmetic number, because the mean of its divisors is an integer number (408247224).

Almost surely, 221997337901 is an apocalyptic number.

21997337901 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21997337901 is a deficient number, since it is larger than the sum of its proper divisors (17194395603).

21997337901 is a wasteful number, since it uses less digits than its factorization.

21997337901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 642978, while the sum is 51.

The spelling of 21997337901 in words is "twenty-one billion, nine hundred ninety-seven million, three hundred thirty-seven thousand, nine hundred one".

Divisors: 1 3 7 11 17 21 33 51 77 119 121 187 231 241 357 363 561 723 847 1309 1687 2057 2113 2541 2651 3927 4097 5061 6171 6339 7953 12291 14399 14791 18557 23243 28679 29161 35921 43197 44373 45067 55671 69729 86037 87483 107763 135201 162701 204127 251447 255673 315469 395131 488103 495737 509233 612381 754341 767019 946407 1185393 1487211 1527699 1789711 2765917 3470159 3564631 4346441 5369133 5601563 8297751 8656961 10410477 10693893 13039323 16804689 25970883 30425087 39210941 60598727 61617193 91275261 95226571 117632823 181796181 184851579 285679713 431320351 666585997 1047492281 1293961053 1999757991 3142476843 7332445967 21997337901