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103131100314 = 23311792197739
BaseRepresentation
bin110000000001100010…
…1111011010010011010
3100212012101100201102000
41200003011323102122
53142203030202224
6115213333221430
710310453613564
oct1400305732232
9325171321360
10103131100314
113a8128aa110
1217ba2491876
139957406518
144dc4c32334
152a390780c9
hex180317b49a

103131100314 has 64 divisors (see below), whose sum is σ = 253179648000. Its totient is φ = 30856241520.

The previous prime is 103131100307. The next prime is 103131100343. The reversal of 103131100314 is 413001131301.

103131100314 is a `hidden beast` number, since 10 + 31 + 311 + 0 + 0 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1051944 + ... + 1145795.

It is an arithmetic number, because the mean of its divisors is an integer number (3955932000).

Almost surely, 2103131100314 is an apocalyptic number.

103131100314 is an abundant number, since it is smaller than the sum of its proper divisors (150048547686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103131100314 is a wasteful number, since it uses less digits than its factorization.

103131100314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197840 (or 2197834 counting only the distinct ones).

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

Adding to 103131100314 its reverse (413001131301), we get a palindrome (516132231615).

The spelling of 103131100314 in words is "one hundred three billion, one hundred thirty-one million, one hundred thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 99 158 198 237 297 474 594 711 869 1422 1738 2133 2607 4266 5214 7821 15642 23463 46926 2197739 4395478 6593217 13186434 19779651 24175129 39559302 48350258 59338953 72525387 118677906 145050774 173621381 217576161 347242762 435152322 520864143 652728483 1041728286 1305456966 1562592429 1909835191 3125184858 3819670382 4687777287 5729505573 9375554574 11459011146 17188516719 34377033438 51565550157 103131100314