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102431358 = 23317111581
BaseRepresentation
bin1100001101011…
…11101001111110
321010202001102000
412012233221332
5202210300413
614055243130
72352436461
oct606575176
9233661360
10102431358
1152902217
122a3794a6
13182b5393
14d8652d8
158ed5073
hex61afa7e

102431358 has 32 divisors (see below), whose sum is σ = 241017120. Its totient is φ = 32135040.

The previous prime is 102431327. The next prime is 102431359. The reversal of 102431358 is 853134201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102431359) 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 15 ways as a sum of consecutive naturals, for example, 54873 + ... + 56708.

It is an arithmetic number, because the mean of its divisors is an integer number (7531785).

Almost surely, 2102431358 is an apocalyptic number.

102431358 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

102431358 is an abundant number, since it is smaller than the sum of its proper divisors (138585762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102431358 is a wasteful number, since it uses less digits than its factorization.

102431358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111609 (or 111603 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 102431358 is about 10120.8378111696. The cubic root of 102431358 is about 467.8905891507.

Adding to 102431358 its reverse (853134201), we get a palindrome (955565559).

The spelling of 102431358 in words is "one hundred two million, four hundred thirty-one thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 111581 223162 334743 669486 1004229 1896877 2008458 3012687 3793754 5690631 6025374 11381262 17071893 34143786 51215679 102431358