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131200293 = 3721396421
BaseRepresentation
bin1111101000111…
…11010100100101
3100010212122222010
413310133110211
5232041402133
621004024433
73152120100
oct764372445
9303778863
10131200293
11680717a4
1237b32119
1321248c13
14135d3737
15b7b9263
hex7d1f525

131200293 has 24 divisors (see below), whose sum is σ = 204990240. Its totient is φ = 74420640.

The previous prime is 131200291. The next prime is 131200319. The reversal of 131200293 is 392002131.

It is a happy number.

It is not a de Polignac number, because 131200293 - 21 = 131200291 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131200291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17223 + ... + 23643.

It is an arithmetic number, because the mean of its divisors is an integer number (8541260).

Almost surely, 2131200293 is an apocalyptic number.

It is an amenable number.

131200293 is a deficient number, since it is larger than the sum of its proper divisors (73789947).

131200293 is a wasteful number, since it uses less digits than its factorization.

131200293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6577 (or 6570 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 131200293 is about 11454.2696406187. The cubic root of 131200293 is about 508.1340153688.

The spelling of 131200293 in words is "one hundred thirty-one million, two hundred thousand, two hundred ninety-three".

Divisors: 1 3 7 21 49 139 147 417 973 2919 6421 6811 19263 20433 44947 134841 314629 892519 943887 2677557 6247633 18742899 43733431 131200293