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315105020 = 225671132081
BaseRepresentation
bin10010110010000…
…001111011111100
3210221220222211022
4102302001323330
51121131330040
651133443312
710544230346
oct2262017374
9727828738
10315105020
1115196107a
1289640538
1350389199
142dbc6296
151c9e46b5
hex12c81efc

315105020 has 48 divisors (see below), whose sum is σ = 677865888. Its totient is φ = 123002880.

The previous prime is 315105019. The next prime is 315105023. The reversal of 315105020 is 20501513.

It is a self number, because there is not a number n which added to its sum of digits gives 315105020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315105023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150380 + ... + 152460.

It is an arithmetic number, because the mean of its divisors is an integer number (14122206).

Almost surely, 2315105020 is an apocalyptic number.

It is an amenable number.

315105020 is an abundant number, since it is smaller than the sum of its proper divisors (362760868).

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

315105020 is a wasteful number, since it uses less digits than its factorization.

315105020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 315105020 is about 17751.1977060704. The cubic root of 315105020 is about 680.4848186173.

Adding to 315105020 its reverse (20501513), we get a palindrome (335606533).

The spelling of 315105020 in words is "three hundred fifteen million, one hundred five thousand, twenty".

Divisors: 1 2 4 5 10 20 67 113 134 226 268 335 452 565 670 1130 1340 2081 2260 4162 7571 8324 10405 15142 20810 30284 37855 41620 75710 139427 151420 235153 278854 470306 557708 697135 940612 1175765 1394270 2351530 2788540 4703060 15755251 31510502 63021004 78776255 157552510 315105020