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131410505000245 = 531109239116327983
BaseRepresentation
bin11101111000010001100100…
…011110000110010100110101
3122020021201111001000101110211
4131320101210132012110311
5114211012203240001440
61143253052543145421
736452044550324422
oct3570214436062465
9566251431011424
10131410505000245
11389649782316a9
12128a42a02a5271
135842c5a692523
142464433a24d49
15102d44eabaeea
hex778464786535

131410505000245 has 64 divisors (see below), whose sum is σ = 165107928268800. Its totient is φ = 100292126296320.

The previous prime is 131410505000239. The next prime is 131410505000261. The reversal of 131410505000245 is 542000505014131.

It is not a de Polignac number, because 131410505000245 - 235 = 131376145261877 is a prime.

It is a super-2 number, since 2×1314105050002452 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4696069524 + ... + 4696097506.

It is an arithmetic number, because the mean of its divisors is an integer number (2579811379200).

Almost surely, 2131410505000245 is an apocalyptic number.

It is an amenable number.

131410505000245 is a deficient number, since it is larger than the sum of its proper divisors (33697423268555).

131410505000245 is a wasteful number, since it uses less digits than its factorization.

131410505000245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29530.

The product of its (nonzero) digits is 12000, while the sum is 31.

The spelling of 131410505000245 in words is "one hundred thirty-one trillion, four hundred ten billion, five hundred five million, two hundred forty-five", and thus it is an aban number.

Divisors: 1 5 31 109 155 239 545 1163 1195 3379 5815 7409 16895 26051 27983 36053 37045 126767 130255 139915 180265 277957 633835 807581 867473 1389785 3050147 3929777 4037905 4337365 6687937 8616667 15250735 19648885 30297313 32544229 33439685 43083335 94554557 151486565 162721145 207326047 472772785 728985133 939216703 1008871099 1036630235 3547320961 3644925665 4696083515 5044355495 7778070731 17736604805 22598539123 38890353655 109966949791 112992695615 241120192661 549834748955 847809709679 1205600963305 4239048548395 26282101000049 131410505000245