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315146253213 = 321153193311203
BaseRepresentation
bin1001001011000000010…
…11100011001110011101
31010010110002021102010100
410211200023203032131
520130404420100323
6400435353531313
731524421645101
oct4454013431635
91103402242110
10315146253213
1111171a931540
12510b1a13b39
1323944a6430c
1411378957901
1582e7262943
hex49602e339d

315146253213 has 48 divisors (see below), whose sum is σ = 508587004224. Its totient is φ = 186422446080.

The previous prime is 315146253209. The next prime is 315146253223. The reversal of 315146253213 is 312352641513.

315146253213 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 4 + 625 + 3 + 21 + 3 = 666.

It is not a de Polignac number, because 315146253213 - 22 = 315146253209 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315146253223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 857070 + ... + 1168272.

It is an arithmetic number, because the mean of its divisors is an integer number (10595562588).

Almost surely, 2315146253213 is an apocalyptic number.

315146253213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

315146253213 is a deficient number, since it is larger than the sum of its proper divisors (193440751011).

315146253213 is a wasteful number, since it uses less digits than its factorization.

315146253213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311466 (or 311463 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

Adding to 315146253213 its reverse (312352641513), we get a palindrome (627498894726).

The spelling of 315146253213 in words is "three hundred fifteen billion, one hundred forty-six million, two hundred fifty-three thousand, two hundred thirteen".

Divisors: 1 3 9 11 33 53 99 159 193 477 579 583 1737 1749 2123 5247 6369 10229 19107 30687 92061 112519 311203 337557 933609 1012671 2800827 3423233 10269699 16493759 30809097 49481277 60062179 148443831 180186537 181431349 540559611 544294047 660683969 1632882141 1982051907 3183295487 5946155721 9549886461 28649659383 35016250357 105048751071 315146253213