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313010412 = 2231113473881
BaseRepresentation
bin10010101010000…
…010100011101100
3210210222120120020
4102222002203230
51120112313122
651020522140
710520354541
oct2252024354
9723876506
10313010412
111507603a0
12889b0350
134cb04980
142d7dcbc8
151c72dc5c
hex12a828ec

313010412 has 96 divisors (see below), whose sum is σ = 876524544. Its totient is φ = 85670400.

The previous prime is 313010407. The next prime is 313010431. The reversal of 313010412 is 214010313.

It is a junction number, because it is equal to n+sod(n) for n = 313010391 and 313010400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78712 + ... + 82592.

It is an arithmetic number, because the mean of its divisors is an integer number (9130464).

Almost surely, 2313010412 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 313010412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438262272).

313010412 is an abundant number, since it is smaller than the sum of its proper divisors (563514132).

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

313010412 is a wasteful number, since it uses less digits than its factorization.

313010412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3959 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 313010412 is about 17692.1002710249. The cubic root of 313010412 is about 678.9736622029.

Adding to 313010412 its reverse (214010313), we get a palindrome (527020725).

Subtracting from 313010412 its reverse (214010313), we obtain a palindrome (99000099).

The spelling of 313010412 in words is "three hundred thirteen million, ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 47 52 66 78 94 132 141 143 156 188 282 286 429 517 564 572 611 858 1034 1222 1551 1716 1833 2068 2444 3102 3666 3881 6204 6721 7332 7762 11643 13442 15524 20163 23286 26884 40326 42691 46572 50453 80652 85382 100906 128073 151359 170764 182407 201812 256146 302718 364814 512292 547221 554983 605436 729628 1094442 1109966 1664949 2006477 2188884 2219932 2371291 3329898 4012954 4742582 6019431 6659796 7113873 8025908 9485164 12038862 14227746 24077724 26084201 28455492 52168402 78252603 104336804 156505206 313010412