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102271257 = 3211293913
BaseRepresentation
bin1100001100010…
…00100100011001
321010102220210100
412012020210121
5202140140012
614052010013
72351201634
oct606104431
9233386710
10102271257
1152802a00
122a300909
131825a54a
14d822c1b
158ea28dc
hex6188919

102271257 has 18 divisors (see below), whose sum is σ = 162377306. Its totient is φ = 61981920.

The previous prime is 102271237. The next prime is 102271259. The reversal of 102271257 is 752172201.

It can be written as a sum of positive squares in only one way, i.e., 92852496 + 9418761 = 9636^2 + 3069^2 .

It is not a de Polignac number, because 102271257 - 26 = 102271193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102271257.

It is not an unprimeable number, because it can be changed into a prime (102271259) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45868 + ... + 48045.

Almost surely, 2102271257 is an apocalyptic number.

It is an amenable number.

102271257 is a deficient number, since it is larger than the sum of its proper divisors (60106049).

102271257 is a wasteful number, since it uses less digits than its factorization.

102271257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93941 (or 93927 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 102271257 is about 10112.9252444582. The cubic root of 102271257 is about 467.6466898384.

The spelling of 102271257 in words is "one hundred two million, two hundred seventy-one thousand, two hundred fifty-seven".

Divisors: 1 3 9 11 33 99 121 363 1089 93913 281739 845217 1033043 3099129 9297387 11363473 34090419 102271257