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12313010100 = 22352277148171
BaseRepresentation
bin10110111011110100…
…11001111110110100
31011210010002201111010
423131322121332310
5200204112310400
65353450312220
7614061600426
oct133572317664
934703081433
1012313010100
115249411806
122477728670
131212c692c1
1484b41a816
154c0e9e450
hex2dde99fb4

12313010100 has 72 divisors (see below), whose sum is σ = 35754496288. Its totient is φ = 3271593600.

The previous prime is 12313010093. The next prime is 12313010107. The reversal of 12313010100 is 101031321.

It is an interprime number because it is at equal distance from previous prime (12313010093) and next prime (12313010107).

It is a super-2 number, since 2×123130101002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313010107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9015 + ... + 157185.

Almost surely, 212313010100 is an apocalyptic number.

12313010100 is a gapful number since it is divisible by the number (10) 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 12313010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17877248144).

12313010100 is an abundant number, since it is smaller than the sum of its proper divisors (23441486188).

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

12313010100 is a wasteful number, since it uses less digits than its factorization.

12313010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148465 (or 148458 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12313010100 its reverse (101031321), we get a palindrome (12414041421).

The spelling of 12313010100 in words is "twelve billion, three hundred thirteen million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 277 300 554 831 1108 1385 1662 2770 3324 4155 5540 6925 8310 13850 16620 20775 27700 41550 83100 148171 296342 444513 592684 740855 889026 1481710 1778052 2222565 2963420 3704275 4445130 7408550 8890260 11112825 14817100 22225650 41043367 44451300 82086734 123130101 164173468 205216835 246260202 410433670 492520404 615650505 820867340 1026084175 1231301010 2052168350 2462602020 3078252525 4104336700 6156505050 12313010100