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131097393 = 3372197503
BaseRepresentation
bin1111101000001…
…10001100110001
3100010200102211000
413310012030301
5232030104033
621001512213
73151211100
oct764061461
9303612730
10131097393
1168001459
1237aa2669
132121112b
14135a8037
15b798a13
hex7d06331

131097393 has 48 divisors (see below), whose sum is σ = 227525760. Its totient is φ = 74384352.

The previous prime is 131097389. The next prime is 131097409. The reversal of 131097393 is 393790131.

It is not a de Polignac number, because 131097393 - 22 = 131097389 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131097383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260380 + ... + 260882.

It is an arithmetic number, because the mean of its divisors is an integer number (4740120).

Almost surely, 2131097393 is an apocalyptic number.

It is an amenable number.

131097393 is a deficient number, since it is larger than the sum of its proper divisors (96428367).

131097393 is a wasteful number, since it uses less digits than its factorization.

131097393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 15309, while the sum is 36.

The square root of 131097393 is about 11449.7769847277. The cubic root of 131097393 is about 508.0011379581.

It can be divided in two parts, 13109 and 7393, that added together give a palindrome (20502).

The spelling of 131097393 in words is "one hundred thirty-one million, ninety-seven thousand, three hundred ninety-three".

Divisors: 1 3 7 9 21 27 49 63 147 189 197 441 503 591 1323 1379 1509 1773 3521 4137 4527 5319 9653 10563 12411 13581 24647 28959 31689 37233 73941 86877 95067 99091 221823 260631 297273 665469 693637 891819 2080911 2675457 4855459 6242733 14566377 18728199 43699131 131097393