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130430234343012 = 223192341535988991
BaseRepresentation
bin11101101010000000100111…
…110010010011011001100100
3122002211000020021211102022120
4131222000213302103121210
5114043432104442434022
61141222453353025540
736321162540243222
oct3552004762233144
9562730207742276
10130430234343012
1138617173a82a6a
12127663056b52b0
1357a16979a8606
14242cbdd96bb12
151012bca45ad5c
hex76a027c93664

130430234343012 has 96 divisors (see below), whose sum is σ = 334363986001920. Its totient is φ = 39388197784320.

The previous prime is 130430234343011. The next prime is 130430234343041. The reversal of 130430234343012 is 210343432034031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (130430234343011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18783837 + ... + 24772827.

It is an arithmetic number, because the mean of its divisors is an integer number (3482958187520).

Almost surely, 2130430234343012 is an apocalyptic number.

130430234343012 is a gapful number since it is divisible by the number (12) 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 130430234343012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167181993000960).

130430234343012 is an abundant number, since it is smaller than the sum of its proper divisors (203933751658908).

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

130430234343012 is a wasteful number, since it uses less digits than its factorization.

130430234343012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5993193 (or 5993191 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 130430234343012 its reverse (210343432034031), we get a palindrome (340773666377043).

The spelling of 130430234343012 in words is "one hundred thirty trillion, four hundred thirty billion, two hundred thirty-four million, three hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1311 1748 2622 4153 5244 8306 12459 16612 24918 49836 78907 95519 157814 191038 236721 286557 315628 382076 473442 573114 946884 1146228 1814861 3629722 5444583 5988991 7259444 10889166 11977982 17966973 21778332 23955964 35933946 71867892 113790829 137746793 227581658 275493586 341372487 413240379 455163316 550987172 682744974 826480758 1365489948 1652961516 2617189067 5234378134 7851567201 10468756268 15703134402 24872279623 31406268804 49744559246 74616838869 99489118492 149233677738 298467355476 472573312837 572062431329 945146625674 1144124862658 1417719938511 1716187293987 1890293251348 2288249725316 2835439877022 3432374587974 5670879754044 6864749175948 10869186195251 21738372390502 32607558585753 43476744781004 65215117171506 130430234343012