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101657400052 = 22132973923453
BaseRepresentation
bin101111010101101000…
…0001101001011110100
3100201101200022222200211
41132223100031023310
53131143243300202
6114411210515204
710226110433425
oct1365320151364
9321350288624
10101657400052
113a126a5230a
1217850a35b04
139780cc1c30
144cc521764c
15299e9c61d7
hex17ab40d2f4

101657400052 has 48 divisors (see below), whose sum is σ = 200906652240. Its totient is φ = 44680301568.

The previous prime is 101657399971. The next prime is 101657400073. The reversal of 101657400052 is 250004756101.

It can be written as a sum of positive squares in 8 ways, for example, as 26710672356 + 74946727696 = 163434^2 + 273764^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101657399987 and 101657400023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351643 + ... + 571810.

It is an arithmetic number, because the mean of its divisors is an integer number (4185555255).

Almost surely, 2101657400052 is an apocalyptic number.

It is an amenable number.

101657400052 is a deficient number, since it is larger than the sum of its proper divisors (99249252188).

101657400052 is a wasteful number, since it uses less digits than its factorization.

101657400052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923572 (or 923570 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The spelling of 101657400052 in words is "one hundred one billion, six hundred fifty-seven million, four hundred thousand, fifty-two".

Divisors: 1 2 4 13 26 29 52 58 73 116 146 292 377 754 949 1508 1898 2117 3796 4234 8468 27521 55042 110084 923453 1846906 3693812 12004889 24009778 26780137 48019556 53560274 67412069 107120548 134824138 269648276 348141781 696283562 876356897 1392567124 1752713794 1954950001 3505427588 3909900002 7819800004 25414350013 50828700026 101657400052