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312113120 = 25511177337
BaseRepresentation
bin10010100110100…
…111011111100000
3210202021222201012
4102212213133200
51114400104440
650545400052
710506626534
oct2246473740
9722258635
10312113120
111501a8230
1288639028
134c87c427
142d647bc4
151c602e65
hex129a77e0

312113120 has 48 divisors (see below), whose sum is σ = 804405168. Its totient is φ = 113495040.

The previous prime is 312113111. The next prime is 312113141. The reversal of 312113120 is 21311213.

It is a super-2 number, since 2×3121131202 = 194829199352268800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312113095 and 312113104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86909 + ... + 90428.

It is an arithmetic number, because the mean of its divisors is an integer number (16758441).

Almost surely, 2312113120 is an apocalyptic number.

It is an amenable number.

312113120 is an abundant number, since it is smaller than the sum of its proper divisors (492292048).

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

312113120 is a wasteful number, since it uses less digits than its factorization.

312113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177363 (or 177355 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 312113120 is about 17666.7235219211. The cubic root of 312113120 is about 678.3242474674.

Adding to 312113120 its reverse (21311213), we get a palindrome (333424333).

The spelling of 312113120 in words is "three hundred twelve million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 177337 354674 709348 886685 1418696 1773370 1950707 2837392 3546740 3901414 5674784 7093480 7802828 9753535 14186960 15605656 19507070 28373920 31211312 39014140 62422624 78028280 156056560 312113120