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131613135 = 3531349811
BaseRepresentation
bin1111101100001…
…00000111001111
3100011122122021120
413312010013033
5232143110020
621020532023
73155456523
oct766040717
9304578246
10131613135
1168323995
12380b1013
1321361ac4
141369dd83
15b84b740
hex7d841cf

131613135 has 32 divisors (see below), whose sum is σ = 218265600. Its totient is φ = 67651200.

The previous prime is 131613121. The next prime is 131613161. The reversal of 131613135 is 531316131.

It is not a de Polignac number, because 131613135 - 26 = 131613071 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161880 + ... + 162690.

It is an arithmetic number, because the mean of its divisors is an integer number (6820800).

Almost surely, 2131613135 is an apocalyptic number.

131613135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131613135 is a deficient number, since it is larger than the sum of its proper divisors (86652465).

131613135 is a wasteful number, since it uses less digits than its factorization.

131613135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199.

The product of its digits is 810, while the sum is 24.

The square root of 131613135 is about 11472.2768010539. The cubic root of 131613135 is about 508.6664313874. Note that the first 3 decimals are identical.

Adding to 131613135 its reverse (531316131), we get a palindrome (662929266).

The spelling of 131613135 in words is "one hundred thirty-one million, six hundred thirteen thousand, one hundred thirty-five".

Divisors: 1 3 5 15 31 93 155 349 465 811 1047 1745 2433 4055 5235 10819 12165 25141 32457 54095 75423 125705 162285 283039 377115 849117 1415195 4245585 8774209 26322627 43871045 131613135