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102244303431 = 3423792932371
BaseRepresentation
bin101111100111000111…
…1000100001001000111
3100202220120200202210000
41133032033010021013
53133344020202211
6114545334132343
710246465145124
oct1371617041107
9322816622700
10102244303431
113a3a8275526
12179954b10b3
13984578363a
144d3d15174b
1529d62a8656
hex17ce3c4247

102244303431 has 80 divisors (see below), whose sum is σ = 162012533760. Its totient is φ = 64127194560.

The previous prime is 102244303397. The next prime is 102244303519. The reversal of 102244303431 is 134303442201.

102244303431 is a `hidden beast` number, since 1 + 0 + 224 + 4 + 3 + 0 + 3 + 431 = 666.

It is not a de Polignac number, because 102244303431 - 215 = 102244270663 is a prime.

It is a super-2 number, since 2×1022443034312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102244303395 and 102244303404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102244303631) 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 79 ways as a sum of consecutive naturals, for example, 43121676 + ... + 43124046.

It is an arithmetic number, because the mean of its divisors is an integer number (2025156672).

Almost surely, 2102244303431 is an apocalyptic number.

102244303431 is a deficient number, since it is larger than the sum of its proper divisors (59768230329).

102244303431 is a wasteful number, since it uses less digits than its factorization.

102244303431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 102244303431 its reverse (134303442201), we get a palindrome (236547745632).

The spelling of 102244303431 in words is "one hundred two billion, two hundred forty-four million, three hundred three thousand, four hundred thirty-one".

Divisors: 1 3 9 23 27 69 79 81 207 237 293 621 711 879 1817 1863 2133 2371 2637 5451 6399 6739 7113 7911 16353 20217 21339 23147 23733 49059 54533 60651 64017 69441 147177 163599 181953 187309 192051 208323 490797 532381 545859 561927 624969 694703 1472391 1597143 1685781 1874907 2084109 4308107 4417173 4791429 5057343 6252327 12924321 14374287 15172029 15978169 18756981 38772963 43122861 47934507 54881537 56270943 116318889 143803521 164644611 348956667 431410563 493933833 1262275351 1294231689 1481801499 3786826053 4445404497 11360478159 34081434477 102244303431