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31411131202104 = 233113569117117383
BaseRepresentation
bin1110010010001011110010…
…10100010011101000111000
311010012212121202000012122120
413021011321110103220320
513104114444041431404
6150450024030121240
76421244053610433
oct711057124235070
9133185552005576
1031411131202104
11a01042774a225
123633830350220
13146b0981ba434
147a844205a81a
153971202929d9
hex1c9179513a38

31411131202104 has 128 divisors (see below), whose sum is σ = 79434338342400. Its totient is φ = 10350038200320.

The previous prime is 31411131202049. The next prime is 31411131202169. The reversal of 31411131202104 is 40120213111413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1806994197 + ... + 1807011579.

It is an arithmetic number, because the mean of its divisors is an integer number (620580768300).

Almost surely, 231411131202104 is an apocalyptic number.

It is an amenable number.

31411131202104 is an abundant number, since it is smaller than the sum of its proper divisors (48023207140296).

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

31411131202104 is a wasteful number, since it uses less digits than its factorization.

31411131202104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19245 (or 19241 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 31411131202104 its reverse (40120213111413), we get a palindrome (71531344313517).

The spelling of 31411131202104 in words is "thirty-one trillion, four hundred eleven billion, one hundred thirty-one million, two hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 113 226 339 452 569 678 904 1138 1171 1356 1707 2276 2342 2712 3414 3513 4552 4684 6828 7026 9368 13656 14052 17383 28104 34766 52149 64297 69532 104298 128594 132323 139064 192891 208596 257188 264646 385782 396969 417192 514376 529292 666299 771564 793938 1058584 1332598 1543128 1587876 1964279 1998897 2665196 3175752 3928558 3997794 5330392 5892837 7857116 7995588 9890927 11785674 15714232 15991176 19781854 20355493 23571348 29672781 39563708 40710986 47142696 59345562 61066479 75291787 79127416 81421972 118691124 122132958 150583574 162843944 225875361 237382248 244265916 301167148 451750722 488531832 602334296 903501444 1117674751 1807002888 2235349502 2300170709 3353024253 4470699004 4600341418 6706048506 6900512127 8941398008 9200682836 11582275517 13412097012 13801024254 18401365672 23164551034 26824194024 27602048508 34746826551 46329102068 55204097016 69493653102 92658204136 138987306204 277974612408 1308797133421 2617594266842 3926391400263 5235188533684 7852782800526 10470377067368 15705565601052 31411131202104