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130913055 = 32572134567
BaseRepresentation
bin1111100110110…
…01001100011111
3100010100001221200
413303121030133
5232003204210
620553530543
73146512500
oct763311437
9303301850
10130913055
1167995a09
1237a13a53
1321178260
141355aba7
15b75e0c0
hex7cd931f

130913055 has 72 divisors (see below), whose sum is σ = 284330592. Its totient is φ = 55230336.

The previous prime is 130913053. The next prime is 130913077. The reversal of 130913055 is 550319031.

It is not a de Polignac number, because 130913055 - 21 = 130913053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130913053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26382 + ... + 30948.

It is an arithmetic number, because the mean of its divisors is an integer number (3949036).

Almost surely, 2130913055 is an apocalyptic number.

130913055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130913055 is an abundant number, since it is smaller than the sum of its proper divisors (153417537).

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

130913055 is a wasteful number, since it uses less digits than its factorization.

130913055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 130913055 is about 11441.7243018699. The cubic root of 130913055 is about 507.7629236114.

The spelling of 130913055 in words is "one hundred thirty million, nine hundred thirteen thousand, fifty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 245 273 315 441 455 585 637 735 819 1365 1911 2205 3185 4095 4567 5733 9555 13701 22835 28665 31969 41103 59371 68505 95907 159845 178113 205515 223783 287721 296855 415597 479535 534339 671349 890565 1118915 1246791 1438605 2014047 2077985 2671695 2909179 3356745 3740373 6233955 8727537 10070235 14545895 18701865 26182611 43637685 130913055