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1314112312212 = 2237157193516293
BaseRepresentation
bin10011000111110111001…
…100101001001110010100
311122121221202011012012020
4103013313030221032110
5133012300222442322
62443410031253140
7163640633231640
oct23076714511624
94577852135166
101314112312212
11467348161237
1219282567a1b0
1396bc6a6ac3b
1447863939c20
15242b2d4105c
hex131f7329394

1314112312212 has 96 divisors (see below), whose sum is σ = 3544899386112. Its totient is φ = 371135471616.

The previous prime is 1314112312187. The next prime is 1314112312273. The reversal of 1314112312212 is 2122132114131.

It is a nude number because it is divisible by every one of its digits.

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, 2287138 + ... + 2803430.

It is an arithmetic number, because the mean of its divisors is an integer number (36926035272).

Almost surely, 21314112312212 is an apocalyptic number.

1314112312212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314112312212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772449693056).

1314112312212 is an abundant number, since it is smaller than the sum of its proper divisors (2230787073900).

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

1314112312212 is a wasteful number, since it uses less digits than its factorization.

1314112312212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516657 (or 516655 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 1314112312212 its reverse (2122132114131), we get a palindrome (3436244426343).

The spelling of 1314112312212 in words is "one trillion, three hundred fourteen billion, one hundred twelve million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 157 193 314 386 471 579 628 772 942 1099 1158 1351 1884 2198 2316 2702 3297 4053 4396 5404 6594 8106 13188 16212 30301 60602 90903 121204 181806 212107 363612 424214 516293 636321 848428 1032586 1272642 1548879 2065172 2545284 3097758 3614051 6195516 7228102 10842153 14456204 21684306 43368612 81058001 99644549 162116002 199289098 243174003 298933647 324232004 398578196 486348006 567406007 597867294 697511843 972696012 1134812014 1195734588 1395023686 1702218021 2092535529 2269624028 2790047372 3404436042 4185071058 6808872084 8370142116 15644194193 31288388386 46932582579 62576776772 93865165158 109509359351 187730330316 219018718702 328528078053 438037437404 657056156106 1314112312212