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130465153 = 71319611237
BaseRepresentation
bin1111100011010…
…11110110000001
3100002111022112201
413301223312001
5231344341103
620540153201
73142635610
oct761536601
9302438481
10130465153
116770a445
1237838801
132104c420
1413481877
15b6c151d
hex7c6bd81

130465153 has 32 divisors (see below), whose sum is σ = 171933440. Its totient is φ = 96111360.

The previous prime is 130465141. The next prime is 130465163. The reversal of 130465153 is 351564031.

It is a cyclic number.

It is not a de Polignac number, because 130465153 - 25 = 130465121 is a prime.

It is a super-3 number, since 3×1304651533 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (130465133) 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, 104851 + ... + 106087.

It is an arithmetic number, because the mean of its divisors is an integer number (5372920).

Almost surely, 2130465153 is an apocalyptic number.

130465153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130465153 is a deficient number, since it is larger than the sum of its proper divisors (41468287).

130465153 is a wasteful number, since it uses less digits than its factorization.

130465153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337.

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 130465153 is about 11422.1343452089. The cubic root of 130465153 is about 507.1831803231.

The spelling of 130465153 in words is "one hundred thirty million, four hundred sixty-five thousand, one hundred fifty-three".

Divisors: 1 7 13 19 61 91 133 247 427 793 1159 1237 1729 5551 8113 8659 15067 16081 23503 75457 105469 112567 164521 305539 528199 980941 1433683 2138773 6866587 10035781 18637879 130465153