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102021131313 = 3319383519247
BaseRepresentation
bin101111100000011101…
…1101110110000110001
3100202100000202110012000
41133000323232300301
53132414402200223
6114511242524213
710241115210423
oct1370073566061
9322300673160
10102021131313
113a2a32a5a62
1217932806669
13980b47512a
144d1b65a813
1529c18c3543
hex17c0eeec31

102021131313 has 32 divisors (see below), whose sum is σ = 159512985600. Its totient is φ = 64266038928.

The previous prime is 102021131299. The next prime is 102021131327. The reversal of 102021131313 is 313131120201.

It is an interprime number because it is at equal distance from previous prime (102021131299) and next prime (102021131327).

It is not a de Polignac number, because 102021131313 - 214 = 102021114929 is a prime.

It is a super-2 number, since 2×1020211313132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102021131713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63145 + ... + 456102.

It is an arithmetic number, because the mean of its divisors is an integer number (4984780800).

Almost surely, 2102021131313 is an apocalyptic number.

It is an amenable number.

102021131313 is a deficient number, since it is larger than the sum of its proper divisors (57491854287).

102021131313 is a wasteful number, since it uses less digits than its factorization.

102021131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519658 (or 519652 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102021131313 its reverse (313131120201), we get a palindrome (415152251514).

The spelling of 102021131313 in words is "one hundred two billion, twenty-one million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 19 27 57 171 383 513 1149 3447 7277 10341 21831 65493 196479 519247 1557741 4673223 9865693 14019669 29597079 88791237 198871601 266373711 596614803 1789844409 3778560419 5369533227 11335681257 34007043771 102021131313