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1312110213012 = 223361859723167
BaseRepresentation
bin10011000101111111110…
…111001111011110010100
311122102210012212000102000
4103011333313033132110
5132444200203304022
62442435231315300
7163540212535014
oct23057767173624
94572705760360
101312110213012
114665100104a5
1219236707bb30
139696803a261
1447713a95c44
15241e71b66ac
hex1317fdcf794

1312110213012 has 96 divisors (see below), whose sum is σ = 3458085335040. Its totient is φ = 430131461760.

The previous prime is 1312110212977. The next prime is 1312110213023. The reversal of 1312110213012 is 2103120112131.

1312110213012 is a `hidden beast` number, since 131 + 211 + 0 + 21 + 301 + 2 = 666.

It is a super-2 number, since 2×13121102130122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 56625453 + ... + 56648619.

It is an arithmetic number, because the mean of its divisors is an integer number (36021722240).

Almost surely, 21312110213012 is an apocalyptic number.

1312110213012 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 1312110213012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729042667520).

1312110213012 is an abundant number, since it is smaller than the sum of its proper divisors (2145975122028).

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

1312110213012 is a wasteful number, since it uses less digits than its factorization.

1312110213012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31838 (or 31830 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1312110213012 its reverse (2103120112131), we get a palindrome (3415230325143).

The spelling of 1312110213012 in words is "one trillion, three hundred twelve billion, one hundred ten million, two hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1647 2196 3294 6588 8597 17194 23167 25791 34388 46334 51582 69501 77373 92668 103164 139002 154746 208503 232119 278004 309492 417006 464238 524417 625509 834012 928476 1048834 1251018 1413187 1573251 2097668 2502036 2826374 3146502 4239561 4719753 5652748 6293004 8479122 9439506 12718683 14159259 16958244 18879012 25437366 28318518 38156049 50874732 56637036 76312098 152624196 199166699 398333398 597500097 796666796 1195000194 1792500291 2390000388 3585000582 5377500873 7170001164 10755001746 12149168639 21510003492 24298337278 36447505917 48596674556 72895011834 109342517751 145790023668 218685035502 328027553253 437370071004 656055106506 1312110213012