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313130004 = 2231117236067
BaseRepresentation
bin10010101010011…
…111110000010100
3210211012122121120
4102222133300110
51120130130004
651023243540
710521363315
oct2252376024
9724178546
10313130004
11150832230
1288a495b0
134cb47235
142d83060c
151c7543d9
hex12a9fc14

313130004 has 96 divisors (see below), whose sum is σ = 880782336. Its totient is φ = 85409280.

The previous prime is 313130003. The next prime is 313130017. The reversal of 313130004 is 400031313.

It is a super-3 number, since 3×3131300043 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313130003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48579 + ... + 54645.

It is an arithmetic number, because the mean of its divisors is an integer number (9174816).

Almost surely, 2313130004 is an apocalyptic number.

313130004 is a gapful number since it is divisible by the number (34) 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 313130004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440391168).

313130004 is an abundant number, since it is smaller than the sum of its proper divisors (567652332).

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

313130004 is a wasteful number, since it uses less digits than its factorization.

313130004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6125 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 313130004 is about 17695.4797617923. The cubic root of 313130004 is about 679.0601230957.

Adding to 313130004 its reverse (400031313), we get a palindrome (713161317).

The spelling of 313130004 in words is "three hundred thirteen million, one hundred thirty thousand, four".

Divisors: 1 2 3 4 6 11 12 17 22 23 33 34 44 46 51 66 68 69 92 102 132 138 187 204 253 276 374 391 506 561 748 759 782 1012 1122 1173 1518 1564 2244 2346 3036 4301 4692 6067 8602 12134 12903 17204 18201 24268 25806 36402 51612 66737 72804 103139 133474 139541 200211 206278 266948 279082 309417 400422 412556 418623 558164 618834 800844 837246 1134529 1237668 1534951 1674492 2269058 2372197 3069902 3403587 4538116 4604853 4744394 6139804 6807174 7116591 9209706 9488788 13614348 14233182 18419412 26094167 28466364 52188334 78282501 104376668 156565002 313130004