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102304200 = 233521671021
BaseRepresentation
bin1100001100100…
…00100111001000
321010111120222110
412012100213020
5202142213300
614052422320
72351366655
oct606204710
9233446873
10102304200
1152825729
122a3179a0
131826c53b
14d830c2c
158eac550
hex61909c8

102304200 has 96 divisors (see below), whose sum is σ = 319354560. Its totient is φ = 27091200.

The previous prime is 102304193. The next prime is 102304229. The reversal of 102304200 is 2403201.

It is a super-2 number, since 2×1023042002 = 20932298675280000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99690 + ... + 100710.

It is an arithmetic number, because the mean of its divisors is an integer number (3326610).

Almost surely, 2102304200 is an apocalyptic number.

102304200 is a gapful number since it is divisible by the number (10) 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 102304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159677280).

102304200 is an abundant number, since it is smaller than the sum of its proper divisors (217050360).

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

102304200 is a wasteful number, since it uses less digits than its factorization.

102304200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 102304200 is about 10114.5538705372. The cubic root of 102304200 is about 467.6968962911.

Adding to 102304200 its reverse (2403201), we get a palindrome (104707401).

Subtracting from 102304200 its reverse (2403201), we obtain a palindrome (99900999).

The spelling of 102304200 in words is "one hundred two million, three hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 167 200 300 334 501 600 668 835 1002 1021 1336 1670 2004 2042 2505 3063 3340 4008 4084 4175 5010 5105 6126 6680 8168 8350 10020 10210 12252 12525 15315 16700 20040 20420 24504 25050 25525 30630 33400 40840 50100 51050 61260 76575 100200 102100 122520 153150 170507 204200 306300 341014 511521 612600 682028 852535 1023042 1364056 1705070 2046084 2557605 3410140 4092168 4262675 5115210 6820280 8525350 10230420 12788025 17050700 20460840 25576050 34101400 51152100 102304200