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102310032 = 24311375237
BaseRepresentation
bin1100001100100…
…10000010010000
321010111212222110
412012102002100
5202142410112
614052505320
72351422656
oct606220220
9233455873
10102310032
115282a050
122a31b240
13182720a6
14d832dd6
158eae13c
hex6192090

102310032 has 80 divisors (see below), whose sum is σ = 296177472. Its totient is φ = 30159360.

The previous prime is 102310031. The next prime is 102310037. The reversal of 102310032 is 230013201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102310031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16918 + ... + 22154.

Almost surely, 2102310032 is an apocalyptic number.

102310032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148088736).

102310032 is an abundant number, since it is smaller than the sum of its proper divisors (193867440).

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

102310032 is a wasteful number, since it uses less digits than its factorization.

102310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5296 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102310032 is about 10114.8421638699. The cubic root of 102310032 is about 467.7057833699.

Adding to 102310032 its reverse (230013201), we get a palindrome (332323233).

The spelling of 102310032 in words is "one hundred two million, three hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 5237 6512 9768 10474 15711 19536 20948 31422 41896 57607 62844 83792 115214 125688 172821 193769 230428 251376 345642 387538 460856 581307 691284 775076 921712 1162614 1382568 1550152 2131459 2325228 2765136 3100304 4262918 4650456 6394377 8525836 9300912 12788754 17051672 25577508 34103344 51155016 102310032