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130416429 = 311131092789
BaseRepresentation
bin1111100010111…
…11111100101101
3100002101211201010
413301133330231
5231341311204
620535135433
73142343553
oct761377455
9302354633
10130416429
1167686880
1237814579
13210331b0
141346bbd3
15b6b1d89
hex7c5ff2d

130416429 has 32 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 72264960.

The previous prime is 130416413. The next prime is 130416431. The reversal of 130416429 is 924614031.

It is not a de Polignac number, because 130416429 - 24 = 130416413 is a prime.

It is a super-2 number, since 2×1304164292 = 34016889906224082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130416396 and 130416405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130416409) 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 31 ways as a sum of consecutive naturals, for example, 45367 + ... + 48155.

It is an arithmetic number, because the mean of its divisors is an integer number (6444900).

Almost surely, 2130416429 is an apocalyptic number.

It is an amenable number.

130416429 is a deficient number, since it is larger than the sum of its proper divisors (75820371).

130416429 is a wasteful number, since it uses less digits than its factorization.

130416429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 130416429 is about 11420.0012697022. The cubic root of 130416429 is about 507.1200342909.

The spelling of 130416429 in words is "one hundred thirty million, four hundred sixteen thousand, four hundred twenty-nine".

Divisors: 1 3 11 13 33 39 109 143 327 429 1199 1417 2789 3597 4251 8367 15587 30679 36257 46761 92037 108771 304001 398827 912003 1196481 3344011 3952013 10032033 11856039 43472143 130416429