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130434433230312 = 23331667362245421
BaseRepresentation
bin11101101010000100100010…
…000011110010010111101000
3122002211102001220202222212000
4131222010202003302113220
5114044014204401332222
61141224430145451000
736321401564221161
oct3552044203622750
9562742056688760
10130434433230312
1138618a2915a162
1212767097940a60
1357a1bb6884a03
14242d0bb494768
151012d73dba9ac
hex76a1220f25e8

130434433230312 has 64 divisors (see below), whose sum is σ = 362535218337600. Its totient is φ = 43452062619840.

The previous prime is 130434433230301. The next prime is 130434433230317. The reversal of 130434433230312 is 213032334434031.

130434433230312 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 3 + 4 + 4 + 332 + 3 + 0 + 312 = 666.

It is a super-2 number, since 2×1304344332303122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130434433230317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180762639 + ... + 181482782.

It is an arithmetic number, because the mean of its divisors is an integer number (5664612786525).

Almost surely, 2130434433230312 is an apocalyptic number.

130434433230312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130434433230312 is an abundant number, since it is smaller than the sum of its proper divisors (232100785107288).

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

130434433230312 is a wasteful number, since it uses less digits than its factorization.

130434433230312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362247103 (or 362247093 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 130434433230312 its reverse (213032334434031), we get a palindrome (343466767664343).

The spelling of 130434433230312 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred thirty-three million, two hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1667 3334 5001 6668 10002 13336 15003 20004 30006 40008 45009 60012 90018 120024 180036 360072 362245421 724490842 1086736263 1448981684 2173472526 2897963368 3260208789 4346945052 6520417578 8693890104 9780626367 13040835156 19561252734 26081670312 39122505468 78245010936 603863116807 1207726233614 1811589350421 2415452467228 3623178700842 4830904934456 5434768051263 7246357401684 10869536102526 14492714803368 16304304153789 21739072205052 32608608307578 43478144410104 65217216615156 130434433230312