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130153653 = 32722910177
BaseRepresentation
bin1111100000111…
…11110010110101
3100001220111020200
413300133302311
5231304404103
620525351113
73140200500
oct760376265
9301814220
10130153653
1167517403
1237708499
1320c706c6
1413400137
15b65e0a3
hex7c1fcb5

130153653 has 36 divisors (see below), whose sum is σ = 226256940. Its totient is φ = 71801856.

The previous prime is 130153643. The next prime is 130153657. The reversal of 130153653 is 356351031.

130153653 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 5 + 3 + 653 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77053284 + 53100369 = 8778^2 + 7287^2 .

It is not a de Polignac number, because 130153653 - 26 = 130153589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130153657) 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 35 ways as a sum of consecutive naturals, for example, 7701 + ... + 17877.

It is an arithmetic number, because the mean of its divisors is an integer number (6284915).

Almost surely, 2130153653 is an apocalyptic number.

It is an amenable number.

130153653 is a deficient number, since it is larger than the sum of its proper divisors (96103287).

130153653 is a wasteful number, since it uses less digits than its factorization.

130153653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10226 (or 10216 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 130153653 is about 11408.4903909325. The cubic root of 130153653 is about 506.7792066395.

The spelling of 130153653 in words is "one hundred thirty million, one hundred fifty-three thousand, six hundred fifty-three".

Divisors: 1 3 7 9 21 29 49 63 87 147 203 261 441 609 1421 1827 4263 10177 12789 30531 71239 91593 213717 295133 498673 641151 885399 1496019 2065931 2656197 4488057 6197793 14461517 18593379 43384551 130153653