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315011320 = 23513619931
BaseRepresentation
bin10010110001101…
…011000011111000
3210221202020021221
4102301223003320
51121120330240
651131441424
710543360231
oct2261530370
9727666257
10315011320
111518a7738
12895b6274
1350355640
142dba0088
151c9c6a4a
hex12c6b0f8

315011320 has 64 divisors (see below), whose sum is σ = 775887840. Its totient is φ = 114393600.

The previous prime is 315011299. The next prime is 315011327. The reversal of 315011320 is 23110513.

It is a junction number, because it is equal to n+sod(n) for n = 315011294 and 315011303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315011327) 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, 26755 + ... + 36685.

Almost surely, 2315011320 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 315011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387943920).

315011320 is an abundant number, since it is smaller than the sum of its proper divisors (460876520).

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

315011320 is a wasteful number, since it uses less digits than its factorization.

315011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10016 (or 10012 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 315011320 is about 17748.5582513059. The cubic root of 315011320 is about 680.4173620080.

Adding to 315011320 its reverse (23110513), we get a palindrome (338121833).

The spelling of 315011320 in words is "three hundred fifteen million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 244 260 305 488 520 610 793 1220 1586 2440 3172 3965 6344 7930 9931 15860 19862 31720 39724 49655 79448 99310 129103 198620 258206 397240 516412 605791 645515 1032824 1211582 1291030 2423164 2582060 3028955 4846328 5164120 6057910 7875283 12115820 15750566 24231640 31501132 39376415 63002264 78752830 157505660 315011320