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131253003 = 327103113179
BaseRepresentation
bin1111101001011…
…00001100001011
3100010222100021100
413310230030023
5232100044003
621005112443
73152426550
oct764541413
9303870240
10131253003
11680a8362
1237b58723
1321266bcb
1413608a27
15b7c9ba3
hex7d2c30b

131253003 has 48 divisors (see below), whose sum is σ = 221944320. Its totient is φ = 73204992.

The previous prime is 131252981. The next prime is 131253011. The reversal of 131253003 is 300352131.

131253003 is a `hidden beast` number, since 131 + 2 + 530 + 0 + 3 = 666.

It is not a de Polignac number, because 131253003 - 28 = 131252747 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131253803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733168 + ... + 733346.

It is an arithmetic number, because the mean of its divisors is an integer number (4623840).

Almost surely, 2131253003 is an apocalyptic number.

131253003 is a deficient number, since it is larger than the sum of its proper divisors (90691317).

131253003 is a wasteful number, since it uses less digits than its factorization.

131253003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 131253003 is about 11456.5702983048. The cubic root of 131253003 is about 508.2020542360.

The spelling of 131253003 in words is "one hundred thirty-one million, two hundred fifty-three thousand, three".

Divisors: 1 3 7 9 21 63 103 113 179 309 339 537 721 791 927 1017 1253 1611 2163 2373 3759 6489 7119 11277 11639 18437 20227 34917 55311 60681 81473 104751 129059 141589 165933 182043 244419 387177 424767 733257 1161531 1274301 2083381 6250143 14583667 18750429 43751001 131253003