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131011431412310 = 253710193121111337
BaseRepresentation
bin11101110010011101111001…
…110101001011001001010110
3122011212120101220122121220222
4131302131321311023021112
5114132442402420143220
61142345453135154342
736411156254645261
oct3562357165131126
9564776356577828
10131011431412310
11388206aa631409
121283aa873759b2
13581442bc67707
14244cdb68d5cd8
151022d946b9e25
hex772779d4b256

131011431412310 has 64 divisors (see below), whose sum is σ = 242511639612480. Its totient is φ = 50921416765440.

The previous prime is 131011431412291. The next prime is 131011431412397. The reversal of 131011431412310 is 13214134110131.

It is a happy number.

It is a super-2 number, since 2×1310114314123102 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131011431412310.

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, 1176654962 + ... + 1176766298.

It is an arithmetic number, because the mean of its divisors is an integer number (3789244368945).

Almost surely, 2131011431412310 is an apocalyptic number.

131011431412310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131011431412310 is a deficient number, since it is larger than the sum of its proper divisors (111500208200170).

131011431412310 is a wasteful number, since it uses less digits than its factorization.

131011431412310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115521.

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 131011431412310 its reverse (13214134110131), we get a palindrome (144225565522441).

The spelling of 131011431412310 in words is "one hundred thirty-one trillion, eleven billion, four hundred thirty-one million, four hundred twelve thousand, three hundred ten".

Divisors: 1 2 5 10 37 74 185 370 1019 2038 3121 5095 6242 10190 15605 31210 37703 75406 111337 115477 188515 222674 230954 377030 556685 577385 1113370 1154770 3180299 4119469 6360598 8238938 15901495 20597345 31802990 41194690 113452403 117671063 226904806 235342126 347482777 567262015 588355315 694965554 1134524030 1176710630 1737413885 3474827770 4197738911 8395477822 12856862749 20988694555 25713725498 41977389110 64284313745 128568627490 354084949763 708169899526 1770424748815 3540849497630 13101143141231 26202286282462 65505715706155 131011431412310