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102418257 = 3372773331
BaseRepresentation
bin1100001101011…
…00011101010001
321010201101102210
412012230131101
5202204341012
614055102333
72352353334
oct606543521
9233641383
10102418257
11528a3397
122a3719a9
13182ac426
14d86061b
158ed123c
hex61ac751

102418257 has 16 divisors (see below), whose sum is σ = 140796992. Its totient is φ = 66173760.

The previous prime is 102418243. The next prime is 102418259. The reversal of 102418257 is 752814201.

It is not a de Polignac number, because 102418257 - 26 = 102418193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102418259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29082 + ... + 32412.

It is an arithmetic number, because the mean of its divisors is an integer number (8799812).

Almost surely, 2102418257 is an apocalyptic number.

It is an amenable number.

102418257 is a deficient number, since it is larger than the sum of its proper divisors (38378735).

102418257 is a wasteful number, since it uses less digits than its factorization.

102418257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 102418257 is about 10120.1905614470. The cubic root of 102418257 is about 467.8706405201.

The spelling of 102418257 in words is "one hundred two million, four hundred eighteen thousand, two hundred fifty-seven".

Divisors: 1 3 37 111 277 831 3331 9993 10249 30747 123247 369741 922687 2768061 34139419 102418257