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102302233020 = 223251343718903
BaseRepresentation
bin101111101000110110…
…0000011000110111100
3100210001121200220020100
41133101230003012330
53134003332424040
6114555203521100
710251100430061
oct1372154030674
9323047626210
10102302233020
113a427a41919
12179b0989190
1398547870c0
144d46b10c68
1529db3ecb30
hex17d1b031bc

102302233020 has 72 divisors (see below), whose sum is σ = 334187302176. Its totient is φ = 25182087552.

The previous prime is 102302233001. The next prime is 102302233037. The reversal of 102302233020 is 20332203201.

It is a happy number.

102302233020 is a `hidden beast` number, since 10 + 2 + 302 + 2 + 330 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102302232984 and 102302233002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21857112 + ... + 21861791.

It is an arithmetic number, because the mean of its divisors is an integer number (4641490308).

Almost surely, 2102302233020 is an apocalyptic number.

102302233020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102302233020 is an abundant number, since it is smaller than the sum of its proper divisors (231885069156).

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

102302233020 is a wasteful number, since it uses less digits than its factorization.

102302233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43718931 (or 43718926 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 102302233020 its reverse (20332203201), we get a palindrome (122634436221).

The spelling of 102302233020 in words is "one hundred two billion, three hundred two million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 43718903 87437806 131156709 174875612 218594515 262313418 393470127 437189030 524626836 568345739 655783545 786940254 874378060 1136691478 1311567090 1573880508 1705037217 1967350635 2273382956 2623134180 2841728695 3410074434 3934701270 5115111651 5683457390 6820148868 7869402540 8525186085 10230223302 11366914780 17050372170 20460446604 25575558255 34100744340 51151116510 102302233020