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57205291101 = 37314312716091
BaseRepresentation
bin110101010001101100…
…110111100001011101
312110122201211212212020
4311101230313201131
51414124023303401
642140231530353
74063412644230
oct652154674135
9173581755766
1057205291101
1122295993992
12b105b299b9
13551876339a
142aa9649417
15174c210d36
hexd51b3785d

57205291101 has 64 divisors (see below), whose sum is σ = 92805267456. Its totient is φ = 30653380800.

The previous prime is 57205291063. The next prime is 57205291127. The reversal of 57205291101 is 10119250275.

It is not a de Polignac number, because 57205291101 - 27 = 57205290973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57205291151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3547066 + ... + 3563156.

It is an arithmetic number, because the mean of its divisors is an integer number (1450082304).

Almost surely, 257205291101 is an apocalyptic number.

It is an amenable number.

57205291101 is a deficient number, since it is larger than the sum of its proper divisors (35599976355).

57205291101 is a wasteful number, since it uses less digits than its factorization.

57205291101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16302.

The product of its (nonzero) digits is 6300, while the sum is 33.

The spelling of 57205291101 in words is "fifty-seven billion, two hundred five million, two hundred ninety-one thousand, one hundred one".

Divisors: 1 3 7 21 31 43 93 127 129 217 301 381 651 889 903 1333 2667 3937 3999 5461 9331 11811 16091 16383 27559 27993 38227 48273 82677 112637 114681 169291 337911 498821 507873 691913 1185037 1496463 2043557 2075739 3491747 3555111 4843391 6130671 10475241 14304899 14530173 21449303 42914697 63350267 64347909 87872951 150145121 190050801 263618853 443451869 450435363 615110657 1330355607 1845331971 2724061481 8172184443 19068430367 57205291101