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131141103113130 = 23511249972398849
BaseRepresentation
bin11101110100010110101010…
…110111011101001110101010
3122012022222002221211112201220
4131310112222313131032222
5114142103434344110010
61142525220245522510
736423426534140205
oct3564265267351652
9565288087745656
10131141103113130
11388706a1958500
1212860036113436
135823725b13676
14245539854293c
1510264337ce970
hex7745aaddd3aa

131141103113130 has 96 divisors (see below), whose sum is σ = 346645693800000. Its totient is φ = 31728071147520.

The previous prime is 131141103113099. The next prime is 131141103113147. The reversal of 131141103113130 is 31311301141131.

It is a self number, because there is not a number n which added to its sum of digits gives 131141103113130.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34388055 + ... + 38010794.

It is an arithmetic number, because the mean of its divisors is an integer number (3610892643750).

Almost surely, 2131141103113130 is an apocalyptic number.

131141103113130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131141103113130 is an abundant number, since it is smaller than the sum of its proper divisors (215504590686870).

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

131141103113130 is a wasteful number, since it uses less digits than its factorization.

131141103113130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72399380 (or 72399369 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

Adding to 131141103113130 its reverse (31311301141131), we get a palindrome (162452404254261).

The spelling of 131141103113130 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred three million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 499 605 726 998 1210 1497 1815 2495 2994 3630 4990 5489 7485 10978 14970 16467 27445 32934 54890 60379 82335 120758 164670 181137 301895 362274 603790 905685 1811370 72398849 144797698 217196547 361994245 434393094 723988490 796387339 1085982735 1592774678 2171965470 2389162017 3981936695 4778324034 7963873390 8760260729 11945810085 17520521458 23891620170 26280782187 36127025651 43801303645 52561564374 72254051302 87602607290 108381076953 131403910935 180635128255 216762153906 262807821870 361270256510 397397282161 541905384765 794794564322 1083810769530 1192191846483 1986986410805 2384383692966 3973972821610 4371370103771 5960959232415 8742740207542 11921918464830 13114110311313 21856850518855 26228220622626 43713701037710 65570551556565 131141103113130