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12431413343130 = 2352359305365103
BaseRepresentation
bin1011010011100110100111…
…1110011111001110011010
31122000102122120101122110020
42310321221332133032122
53112134013303440010
642234525031131310
72422066003640205
oct264715176371632
948012576348406
1012431413343130
113a63150822901
12148935b213b36
136c237b163c12
1430d97dbb293c
15168582571470
hexb4e69f9f39a

12431413343130 has 64 divisors (see below), whose sum is σ = 31660253982720. Its totient is φ = 3117166961216.

The previous prime is 12431413343099. The next prime is 12431413343149. The reversal of 12431413343130 is 3134331413421.

It is a junction number, because it is equal to n+sod(n) for n = 12431413343091 and 12431413343100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152641842 + ... + 152723261.

It is an arithmetic number, because the mean of its divisors is an integer number (494691468480).

Almost surely, 212431413343130 is an apocalyptic number.

12431413343130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12431413343130 is an abundant number, since it is smaller than the sum of its proper divisors (19228840639590).

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

12431413343130 is a wasteful number, since it uses less digits than its factorization.

12431413343130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305365195.

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 12431413343130 its reverse (3134331413421), we get a palindrome (15565744756551).

The spelling of 12431413343130 in words is "twelve trillion, four hundred thirty-one billion, four hundred thirteen million, three hundred forty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 59 69 115 118 138 177 230 295 345 354 590 690 885 1357 1770 2714 4071 6785 8142 13570 20355 40710 305365103 610730206 916095309 1526825515 1832190618 3053651030 4580476545 7023397369 9160953090 14046794738 18016541077 21070192107 35116986845 36033082154 42140384214 54049623231 70233973690 90082705385 105350960535 108099246462 180165410770 210701921070 270248116155 414380444771 540496232310 828760889542 1243141334313 2071902223855 2486282668626 4143804447710 6215706671565 12431413343130