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131653301 = 13291372549
BaseRepresentation
bin1111101100011…
…01111010110101
3100011201200101012
413312031322311
5232200401201
621021442005
73156014603
oct766157265
9304650335
10131653301
116835108a
1238110305
1321377180
14136b0873
15b8585bb
hex7d8deb5

131653301 has 16 divisors (see below), whose sum is σ = 147798000. Its totient is φ = 116433408.

The previous prime is 131653283. The next prime is 131653309. The reversal of 131653301 is 103356131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1716100 + 129937201 = 1310^2 + 11399^2 .

It is not a de Polignac number, because 131653301 - 222 = 127458997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131653309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50375 + ... + 52923.

It is an arithmetic number, because the mean of its divisors is an integer number (9237375).

Almost surely, 2131653301 is an apocalyptic number.

It is an amenable number.

131653301 is a deficient number, since it is larger than the sum of its proper divisors (16144699).

131653301 is a wasteful number, since it uses less digits than its factorization.

131653301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 131653301 is about 11474.0272354566. The cubic root of 131653301 is about 508.7181714558.

The spelling of 131653301 in words is "one hundred thirty-one million, six hundred fifty-three thousand, three hundred one".

Divisors: 1 13 29 137 377 1781 2549 3973 33137 51649 73921 349213 960973 4539769 10127177 131653301