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1312111211320 = 2357131133190001
BaseRepresentation
bin10011000101111111111…
…011000011001100111000
311122102210021201201211101
4103011333323003030320
5132444200432230240
62442435304541144
7163540224163360
oct23057773031470
94572707651741
101312111211320
11466510632548
121923674817b4
13969682c9780
1447713c759a0
15241e731239a
hex1317fec3338

1312111211320 has 128 divisors (see below), whose sum is σ = 3665695098240. Its totient is φ = 411586560000.

The previous prime is 1312111211267. The next prime is 1312111211353. The reversal of 1312111211320 is 231121112131.

It is a super-2 number, since 2×13121112113202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1183681 + ... + 2006320.

It is an arithmetic number, because the mean of its divisors is an integer number (28638242955).

Almost surely, 21312111211320 is an apocalyptic number.

1312111211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312111211320 is an abundant number, since it is smaller than the sum of its proper divisors (2353583886920).

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

1312111211320 is a wasteful number, since it uses less digits than its factorization.

1312111211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190145 (or 3190141 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 1312111211320 its reverse (231121112131), we get a palindrome (1543232323451).

The spelling of 1312111211320 in words is "one trillion, three hundred twelve billion, one hundred eleven million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 113 130 140 182 226 260 280 364 452 455 520 565 728 791 904 910 1130 1469 1582 1820 2260 2938 3164 3640 3955 4520 5876 6328 7345 7910 10283 11752 14690 15820 20566 29380 31640 41132 51415 58760 82264 102830 205660 411320 3190001 6380002 12760004 15950005 22330007 25520008 31900010 41470013 44660014 63800020 82940026 89320028 111650035 127600040 165880052 178640056 207350065 223300070 290290091 331760104 360470113 414700130 446600140 580580182 720940226 829400260 893200280 1161160364 1441880452 1451450455 1658800520 1802350565 2322320728 2523290791 2883760904 2902900910 3604701130 4686111469 5046581582 5805801820 7209402260 9372222938 10093163164 11611603640 12616453955 14418804520 18744445876 20186326328 23430557345 25232907910 32802780283 37488891752 46861114690 50465815820 65605560566 93722229380 100931631640 131211121132 164013901415 187444458760 262422242264 328027802830 656055605660 1312111211320