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315213054012 = 22338963151971
BaseRepresentation
bin1001001011001000010…
…10011000000000111100
31010010121201222020121000
410211210022120000330
520131024020212022
6400450141410300
731526162515443
oct4454412300074
91103551866530
10315213054012
11111754607a0a
1251110269990
132395585290c
1411383785d5a
1582ed05a6ac
hex496429803c

315213054012 has 96 divisors (see below), whose sum is σ = 827726860800. Its totient is φ = 103723804800.

The previous prime is 315213053983. The next prime is 315213054017. The reversal of 315213054012 is 210450312513.

315213054012 is a `hidden beast` number, since 31 + 52 + 1 + 30 + 540 + 12 = 666.

It is a super-2 number, since 2×3152130540122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315213054017) 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, 6039187 + ... + 6091157.

It is an arithmetic number, because the mean of its divisors is an integer number (8622154800).

Almost surely, 2315213054012 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 315213054012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413863430400).

315213054012 is an abundant number, since it is smaller than the sum of its proper divisors (512513806788).

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

315213054012 is a wasteful number, since it uses less digits than its factorization.

315213054012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52704 (or 52696 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 315213054012 its reverse (210450312513), we get a palindrome (525663366525).

The spelling of 315213054012 in words is "three hundred fifteen billion, two hundred thirteen million, fifty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 267 356 534 631 801 1068 1262 1602 1893 2403 2524 3204 3786 4806 5679 7572 9612 11358 17037 22716 34074 51971 56159 68148 103942 112318 155913 168477 207884 224636 311826 336954 467739 505431 623652 673908 935478 1010862 1403217 1516293 1870956 2021724 2806434 3032586 4625419 5612868 6065172 9250838 13876257 18501676 27752514 32793701 41628771 55505028 65587402 83257542 98381103 124886313 131174804 166515084 196762206 249772626 295143309 393524412 499545252 590286618 885429927 1180573236 1770859854 2918639389 3541719708 5837278778 8755918167 11674557556 17511836334 26267754501 35023672668 52535509002 78803263503 105071018004 157606527006 315213054012