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102312032310 = 235566163697
BaseRepresentation
bin101111101001001000…
…1011011100000110110
3100210002022010202100000
41133102101123200312
53134013340013220
6115000153532130
710251246632325
oct1372221334066
9323068122300
10102312032310
113a432525204
12179b4114046
1398568084b7
144d481420bc
1529dc1d6390
hex17d245b836

102312032310 has 96 divisors (see below), whose sum is σ = 276285233952. Its totient is φ = 27241505280.

The previous prime is 102312032299. The next prime is 102312032311. The reversal of 102312032310 is 13230213201.

102312032310 is a `hidden beast` number, since 1 + 0 + 231 + 203 + 231 + 0 = 666.

It is a super-2 number, since 2×1023120323102 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102312032311) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1574382 + ... + 1638078.

It is an arithmetic number, because the mean of its divisors is an integer number (2877971187).

Almost surely, 2102312032310 is an apocalyptic number.

102312032310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102312032310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138142616976).

102312032310 is an abundant number, since it is smaller than the sum of its proper divisors (173973201642).

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

102312032310 is an equidigital number, since it uses as much as digits as its factorization.

102312032310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64380 (or 64368 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102312032310 its reverse (13230213201), we get a palindrome (115542245511).

The spelling of 102312032310 in words is "one hundred two billion, three hundred twelve million, thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 661 810 1215 1322 1983 2430 3305 3966 5949 6610 9915 11898 17847 19830 29745 35694 53541 59490 63697 89235 107082 127394 160623 178470 191091 267705 318485 321246 382182 535410 573273 636970 803115 955455 1146546 1606230 1719819 1910910 2866365 3439638 5159457 5732730 8599095 10318914 15478371 17198190 25797285 30956742 42103717 51594570 77391855 84207434 126311151 154783710 210518585 252622302 378933453 421037170 631555755 757866906 1136800359 1263111510 1894667265 2273600718 3410401077 3789334530 5684001795 6820802154 10231203231 11368003590 17052005385 20462406462 34104010770 51156016155 102312032310