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310111312 = 24719612389
BaseRepresentation
bin10010011110111…
…110110001010000
3210121112021202011
4102132332301100
51113342030222
650434432304
710453621420
oct2236766120
9717467664
10310111312
1114a060245
1287a32694
134c32b224
142d286480
151c359c77
hex127bec50

310111312 has 80 divisors (see below), whose sum is σ = 734972800. Its totient is φ = 123793920.

The previous prime is 310111303. The next prime is 310111327. The reversal of 310111312 is 213111013.

It is a super-2 number, since 2×3101113122 = 192338051660722688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 310111292 and 310111301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128614 + ... + 131002.

It is an arithmetic number, because the mean of its divisors is an integer number (9187160).

Almost surely, 2310111312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367486400).

310111312 is an abundant number, since it is smaller than the sum of its proper divisors (424861488).

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

310111312 is a wasteful number, since it uses less digits than its factorization.

310111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 310111312 is about 17609.9776263345. The cubic root of 310111312 is about 676.8709407240.

Adding to 310111312 its reverse (213111013), we get a palindrome (523222325).

It can be divided in two parts, 31011 and 1312, that added together give a palindrome (32323).

The spelling of 310111312 in words is "three hundred ten million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 61 76 112 122 133 152 244 266 304 427 488 532 854 976 1064 1159 1708 2128 2318 2389 3416 4636 4778 6832 8113 9272 9556 16226 16723 18544 19112 32452 33446 38224 45391 64904 66892 90782 129808 133784 145729 181564 267568 291458 317737 363128 582916 635474 726256 1020103 1165832 1270948 2040206 2331664 2541896 2768851 4080412 5083792 5537702 8160824 11075404 16321648 19381957 22150808 38763914 44301616 77527828 155055656 310111312