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315200130 = 23572973709
BaseRepresentation
bin10010110010011…
…001001010000010
3210222002211021220
4102302121022002
51121142401010
651135455510
710545104550
oct2262311202
9728084256
10315200130
11151a16583
1289687596
13503c056b
142dc0cbd0
151ca12970
hex12c99282

315200130 has 128 divisors (see below), whose sum is σ = 907891200. Its totient is φ = 68511744.

The previous prime is 315200129. The next prime is 315200141. The reversal of 315200130 is 31002513.

It is a happy number.

It is a super-2 number, since 2×3152001302 = 198702243904033800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444216 + ... + 444924.

It is an arithmetic number, because the mean of its divisors is an integer number (7092900).

Almost surely, 2315200130 is an apocalyptic number.

315200130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315200130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453945600).

315200130 is an abundant number, since it is smaller than the sum of its proper divisors (592691070).

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

315200130 is a wasteful number, since it uses less digits than its factorization.

315200130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 315200130 is about 17753.8764781104. The cubic root of 315200130 is about 680.5532766407.

Adding to 315200130 its reverse (31002513), we get a palindrome (346202643).

The spelling of 315200130 in words is "three hundred fifteen million, two hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 73 87 105 145 146 174 203 210 219 290 365 406 435 438 511 609 709 730 870 1015 1022 1095 1218 1418 1533 2030 2117 2127 2190 2555 3045 3066 3545 4234 4254 4963 5110 6090 6351 7090 7665 9926 10585 10635 12702 14819 14889 15330 20561 21170 21270 24815 29638 29778 31755 41122 44457 49630 51757 61683 63510 74095 74445 88914 102805 103514 123366 143927 148190 148890 155271 205610 222285 258785 287854 308415 310542 362299 431781 444570 517570 616830 719635 724598 776355 863562 1086897 1439270 1500953 1552710 1811495 2158905 2173794 3001906 3622990 4317810 4502859 5434485 7504765 9005718 10506671 10868970 15009530 21013342 22514295 31520013 45028590 52533355 63040026 105066710 157600065 315200130