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130153314 = 23311574457
BaseRepresentation
bin1111100000111…
…11101101100010
3100001220110210010
413300133231202
5231304401224
620525345350
73140166504
oct760375542
9301813703
10130153314
1167517125
1237708256
1320c704c5
14133ddd74
15b65de29
hex7c1fb62

130153314 has 32 divisors (see below), whose sum is σ = 270475776. Its totient is φ = 41708160.

The previous prime is 130153301. The next prime is 130153327. The reversal of 130153314 is 413351031.

It is an interprime number because it is at equal distance from previous prime (130153301) and next prime (130153327).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26974 + ... + 31430.

It is an arithmetic number, because the mean of its divisors is an integer number (8452368).

Almost surely, 2130153314 is an apocalyptic number.

130153314 is an abundant number, since it is smaller than the sum of its proper divisors (140322462).

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

130153314 is a wasteful number, since it uses less digits than its factorization.

130153314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4650.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 130153314 is about 11408.4755335671. The cubic root of 130153314 is about 506.7787666511.

It can be divided in two parts, 1301 and 53314, that added together give a triangular number (54615 = T330).

The spelling of 130153314 in words is "one hundred thirty million, one hundred fifty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 31 62 93 157 186 314 471 942 4457 4867 8914 9734 13371 14601 26742 29202 138167 276334 414501 699749 829002 1399498 2099247 4198494 21692219 43384438 65076657 130153314