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131035144305 = 351317128330809
BaseRepresentation
bin111101000001001001…
…1011010000001110001
3110112020001202000122210
41322002103122001301
54121324444104210
6140110253522333
712316113230532
oct1720223320161
9415201660583
10131035144305
1150631a1739a
122148b4a33a9
13c483498360
1464b0b64689
15361db87e20
hex1e824da071

131035144305 has 64 divisors (see below), whose sum is σ = 239259121920. Its totient is φ = 60665634816.

The previous prime is 131035144297. The next prime is 131035144313. The reversal of 131035144305 is 503441530131.

It is an interprime number because it is at equal distance from previous prime (131035144297) and next prime (131035144313).

It is not a de Polignac number, because 131035144305 - 23 = 131035144297 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4237741 + ... + 4268549.

It is an arithmetic number, because the mean of its divisors is an integer number (3738423780).

Almost surely, 2131035144305 is an apocalyptic number.

131035144305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131035144305 is a deficient number, since it is larger than the sum of its proper divisors (108223977615).

131035144305 is a wasteful number, since it uses less digits than its factorization.

131035144305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32130.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 131035144305 its reverse (503441530131), we get a palindrome (634476674436).

The spelling of 131035144305 in words is "one hundred thirty-one billion, thirty-five million, one hundred forty-four thousand, three hundred five".

Divisors: 1 3 5 13 15 17 39 51 65 85 195 221 255 663 1105 1283 3315 3849 6415 16679 19245 21811 30809 50037 65433 83395 92427 109055 154045 250185 283543 327165 400517 462135 523753 850629 1201551 1417715 1571259 2002585 2618765 4253145 6007755 6808789 7856295 20426367 34043945 39527947 102131835 118583841 197639735 513863311 592919205 671975099 1541589933 2015925297 2569316555 3359875495 7707949665 8735676287 10079626485 26207028861 43678381435 131035144305