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313211010120 = 23353538173771
BaseRepresentation
bin1001000111011001101…
…01001011110001001000
31002221110012202212200020
410203230311023301020
520112424004310440
6355515342540440
731425442442001
oct4435465136110
91087405685606
10313211010120
111109174a4788
1250851897720
13236c6b41168
14112339181a8
1582323e23d0
hex48ecd4bc48

313211010120 has 64 divisors (see below), whose sum is σ = 939672325440. Its totient is φ = 83519443200.

The previous prime is 313211010109. The next prime is 313211010127. The reversal of 313211010120 is 21010112313.

It is a happy number.

It is a super-2 number, since 2×3132110101202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 313211010120.

It is not an unprimeable number, because it can be changed into a prime (313211010127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4208835 + ... + 4282605.

It is an arithmetic number, because the mean of its divisors is an integer number (14682380085).

Almost surely, 2313211010120 is an apocalyptic number.

313211010120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313211010120 is an abundant number, since it is smaller than the sum of its proper divisors (626461315320).

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

313211010120 is a wasteful number, since it uses less digits than its factorization.

313211010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109166 (or 109162 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 313211010120 its reverse (21010112313), we get a palindrome (334221122433).

The spelling of 313211010120 in words is "three hundred thirteen billion, two hundred eleven million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 35381 70762 73771 106143 141524 147542 176905 212286 221313 283048 295084 353810 368855 424572 442626 530715 590168 707620 737710 849144 885252 1061430 1106565 1415240 1475420 1770504 2122860 2213130 2950840 4245720 4426260 8852520 2610091751 5220183502 7830275253 10440367004 13050458755 15660550506 20880734008 26100917510 31321101012 39151376265 52201835020 62642202024 78302752530 104403670040 156605505060 313211010120