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13021300296 = 2332754923957
BaseRepresentation
bin11000010000010000…
…10100011001001000
31020121110212120222100
430020020110121020
5203131423102141
65552031353400
7640452140424
oct141010243110
936543776870
1013021300296
115582203704
122634982860
1312c691bc24
148b7511b84
1551325d0b6
hex308214648

13021300296 has 48 divisors (see below), whose sum is σ = 35272165500. Its totient is φ = 4339677312.

The previous prime is 13021300289. The next prime is 13021300319. The reversal of 13021300296 is 69200312031.

It can be written as a sum of positive squares in 2 ways, for example, as 11446004196 + 1575296100 = 106986^2 + 39690^2 .

It is a super-3 number, since 3×130213002963 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 531550 + ... + 555506.

Almost surely, 213021300296 is an apocalyptic number.

It is an amenable number.

13021300296 is an abundant number, since it is smaller than the sum of its proper divisors (22250865204).

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

13021300296 is a wasteful number, since it uses less digits than its factorization.

13021300296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31518 (or 31511 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 13021300296 in words is "thirteen billion, twenty-one million, three hundred thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7549 15098 22647 23957 30196 45294 47914 60392 67941 71871 90588 95828 135882 143742 181176 191656 215613 271764 287484 431226 543528 574968 862452 1724904 180851393 361702786 542554179 723405572 1085108358 1446811144 1627662537 2170216716 3255325074 4340433432 6510650148 13021300296