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102304312004430 = 232523239320652893
BaseRepresentation
bin10111010000101110010100…
…001011010000111101001110
3111102020012022101212221001200
4113100232110023100331032
5101402123212333120210
61001325541354050330
730356146136044314
oct2720562413207516
9442205271787050
10102304312004430
112a663019070a88
12b5833171199a6
13451134196c413
141b397ab3740b4
15bc62837b20c0
hex5d0b942d0f4e

102304312004430 has 96 divisors (see below), whose sum is σ = 277672046573376. Its totient is φ = 26084106926592.

The previous prime is 102304312004399. The next prime is 102304312004471. The reversal of 102304312004430 is 34400213403201.

102304312004430 is a `hidden beast` number, since 1 + 0 + 2 + 304 + 312 + 0 + 0 + 4 + 43 + 0 = 666.

102304312004430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102304312004394 and 102304312004403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5372937 + ... + 15279956.

It is an arithmetic number, because the mean of its divisors is an integer number (2892417151806).

Almost surely, 2102304312004430 is an apocalyptic number.

102304312004430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102304312004430 is an abundant number, since it is smaller than the sum of its proper divisors (175367734568946).

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

102304312004430 is a wasteful number, since it uses less digits than its factorization.

102304312004430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20655322 (or 20655319 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 102304312004430 its reverse (34400213403201), we get a palindrome (136704525407631).

The spelling of 102304312004430 in words is "one hundred two trillion, three hundred four billion, three hundred twelve million, four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 2393 4786 7179 11965 14358 21537 23930 35895 43074 55039 71790 107685 110078 165117 215370 275195 330234 495351 550390 825585 990702 1651170 2476755 4953510 20652893 41305786 61958679 103264465 123917358 185876037 206528930 309793395 371752074 475016539 619586790 929380185 950033078 1425049617 1858760370 2375082695 2850099234 4275148851 4750165390 7125248085 8550297702 14250496170 21375744255 42751488510 49422372949 98844745898 148267118847 247111864745 296534237694 444801356541 494223729490 741335594235 889602713082 1136714577827 1482671188470 2224006782705 2273429155654 3410143733481 4448013565410 5683572889135 6820287466962 10230431200443 11367145778270 17050718667405 20460862400886 34101437334810 51152156002215 102304312004430