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103131131202 = 23411611576043
BaseRepresentation
bin110000000001100011…
…0000010110101000010
3100212012101102021210000
41200003012002311002
53142203032144302
6115213334020430
710310454102621
oct1400306026502
9325171367700
10103131131202
113a812920340
1217ba24a7716
1399574175b8
144dc4c3d6b8
152a3908231c
hex1803182d42

103131131202 has 160 divisors (see below), whose sum is σ = 257905796544. Its totient is φ = 30538684800.

The previous prime is 103131131197. The next prime is 103131131269. The reversal of 103131131202 is 202131131301.

103131131202 is a `hidden beast` number, since 10 + 31 + 311 + 312 + 0 + 2 = 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 79 ways as a sum of consecutive naturals, for example, 17063193 + ... + 17069235.

Almost surely, 2103131131202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103131131202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128952898272).

103131131202 is an abundant number, since it is smaller than the sum of its proper divisors (154774665342).

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

103131131202 is a wasteful number, since it uses less digits than its factorization.

103131131202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6286 (or 6277 counting only the distinct ones).

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

Adding to 103131131202 its reverse (202131131301), we get a palindrome (305262262503).

Subtracting 103131131202 from its reverse (202131131301), we obtain a palindrome (99000000099).

The spelling of 103131131202 in words is "one hundred three billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 81 99 122 157 162 183 198 297 314 366 471 549 594 671 891 942 1098 1342 1413 1647 1727 1782 2013 2826 3294 3454 4026 4239 4941 5181 6039 6043 8478 9577 9882 10362 12078 12086 12717 15543 18117 18129 19154 25434 28731 31086 36234 36258 46629 54351 54387 57462 66473 86193 93258 105347 108702 108774 132946 139887 163161 172386 199419 210694 258579 279774 316041 326322 368623 398838 489483 517158 598257 632082 737246 775737 948123 948751 978966 1105869 1196514 1551474 1794771 1896246 1897502 2211738 2844369 2846253 3317607 3589542 4054853 5384313 5688738 5692506 6635214 8109706 8533107 8538759 9952821 10436261 10768626 12164559 17066214 17077518 19905642 20872522 24329118 25616277 29858463 31308783 36493677 51232554 57873811 59716926 62617566 72987354 76848831 93926349 109481031 115747622 153697662 173621433 187852698 218962062 281779047 328443093 347242866 520864299 563558094 636611921 656886186 845337141 1041728598 1273223842 1562592897 1690674282 1909835763 3125185794 3819671526 4687778691 5729507289 9375557382 11459014578 17188521867 34377043734 51565565601 103131131202