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112295225757 = 31121368334841
BaseRepresentation
bin110100010010101010…
…0010010100110011101
3101201212001021112012110
41220211110102212131
53314440034211012
6123330540224233
711053531445511
oct1504524224635
9351761245173
10112295225757
1143695800200
121991b53b079
13a787b8cc60
145613d6c141
152dc387473c
hex1a2551299d

112295225757 has 48 divisors (see below), whose sum is σ = 177500199744. Its totient is φ = 62728723200.

The previous prime is 112295225743. The next prime is 112295225767. The reversal of 112295225757 is 757522592211.

It is not a de Polignac number, because 112295225757 - 27 = 112295225629 is a prime.

It is a super-2 number, since 2×1122952257572 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112295225767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3205657 + ... + 3240497.

It is an arithmetic number, because the mean of its divisors is an integer number (3697920828).

Almost surely, 2112295225757 is an apocalyptic number.

It is an amenable number.

112295225757 is a deficient number, since it is larger than the sum of its proper divisors (65204973987).

112295225757 is a wasteful number, since it uses less digits than its factorization.

112295225757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35562 (or 35551 counting only the distinct ones).

The product of its digits is 882000, while the sum is 48.

The spelling of 112295225757 in words is "one hundred twelve billion, two hundred ninety-five million, two hundred twenty-five thousand, seven hundred fifty-seven".

Divisors: 1 3 11 13 33 39 121 143 363 429 683 1573 2049 4719 7513 8879 22539 26637 34841 82643 97669 104523 247929 293007 383251 452933 1074359 1149753 1358799 3223077 4215761 4982263 12647283 14946789 23796403 54804893 71389209 164414679 261760433 309353239 785281299 928059717 2879364763 3402885629 8638094289 10208656887 37431741919 112295225757