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252212431300011 = 32713307951686569
BaseRepresentation
bin111001010110001011001000…
…011000000010010110101011
31020002000021100222121022220200
4321112023020120002112223
5231024222024403100021
62252224442535523243
7104060514110561130
oct7126131030022653
91202007328538820
10252212431300011
11733a9767339086
1224354560b29523
13aa966b7b7a0c0
14463d20abac587
151e259566b9126
hexe562c86025ab

252212431300011 has 24 divisors (see below), whose sum is σ = 448377655645920. Its totient is φ = 133035128597376.

The previous prime is 252212431299973. The next prime is 252212431300051. The reversal of 252212431300011 is 110003134212252.

It is a happy number.

252212431300011 is a `hidden beast` number, since 2 + 5 + 2 + 212 + 431 + 3 + 0 + 0 + 0 + 11 = 666.

It is not a de Polignac number, because 252212431300011 - 211 = 252212431297963 is a prime.

It is a super-2 number, since 2×2522124313000112 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252212431300051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153975842466 + ... + 153975844103.

It is an arithmetic number, because the mean of its divisors is an integer number (18682402318580).

Almost surely, 2252212431300011 is an apocalyptic number.

252212431300011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

252212431300011 is a deficient number, since it is larger than the sum of its proper divisors (196165224345909).

252212431300011 is a wasteful number, since it uses less digits than its factorization.

252212431300011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307951686595 (or 307951686592 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 252212431300011 its reverse (110003134212252), we get a palindrome (362215565512263).

The spelling of 252212431300011 in words is "two hundred fifty-two trillion, two hundred twelve billion, four hundred thirty-one million, three hundred thousand, eleven".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 307951686569 923855059707 2155661805983 2771565179121 4003371925397 6466985417949 12010115776191 19400956253847 28023603477779 36030347328573 84070810433337 252212431300011