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1312141655110 = 2511213103809869
BaseRepresentation
bin10011000110000001101…
…111001011110001000110
311122102212102000102212011
4103012001233023301012
5132444231230430420
62442442313244434
7163541044020646
oct23060157136106
94572772012764
101312141655110
11466526836400
1219237570371a
13969716c8750
1447717d1c526
15241e9d2795a
hex13181bcbc46

1312141655110 has 96 divisors (see below), whose sum is σ = 2822934703680. Its totient is φ = 436162510080.

The previous prime is 1312141655089. The next prime is 1312141655113. The reversal of 1312141655110 is 115561412131.

It is a super-2 number, since 2×13121416551102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312141655113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1215256 + ... + 2025124.

It is an arithmetic number, because the mean of its divisors is an integer number (29405569830).

Almost surely, 21312141655110 is an apocalyptic number.

1312141655110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1312141655110 is an abundant number, since it is smaller than the sum of its proper divisors (1510793048570).

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

1312141655110 is a wasteful number, since it uses less digits than its factorization.

1312141655110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810014 (or 810003 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 31.

The spelling of 1312141655110 in words is "one trillion, three hundred twelve billion, one hundred forty-one million, six hundred fifty-five thousand, one hundred ten".

Divisors: 1 2 5 10 11 13 22 26 55 65 103 110 121 130 143 206 242 286 515 605 715 1030 1133 1210 1339 1430 1573 2266 2678 3146 5665 6695 7865 11330 12463 13390 14729 15730 24926 29458 62315 73645 124630 147290 162019 324038 809869 810095 1619738 1620190 4049345 8098690 8908559 10528297 17817118 21056594 44542795 52641485 83416507 89085590 97994149 105282970 115811267 166833014 195988298 231622534 417082535 489970745 579056335 834165070 917581577 979941490 1084414591 1158112670 1273923937 1835163154 2168829182 2547847874 4587907885 5422072955 6369619685 9175815770 10093397347 10844145910 11928560501 12739239370 20186794694 23857121002 50466986735 59642802505 100933973470 119285605010 131214165511 262428331022 656070827555 1312141655110