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131552006205 = 3523337640059
BaseRepresentation
bin111101010000100011…
…1000101000000111101
3110120120002022022220010
41322201013011000331
54123404303144310
6140233440013433
712334660413534
oct1724107050075
9416502268803
10131552006205
1150877750394
12215b4601279
13c5365a53b9
14651d66931b
15364e232320
hex1ea11c503d

131552006205 has 16 divisors (see below), whose sum is σ = 211386576960. Its totient is φ = 69859947648.

The previous prime is 131552006203. The next prime is 131552006293. The reversal of 131552006205 is 502600255131.

It is a happy number.

It is not a de Polignac number, because 131552006205 - 21 = 131552006203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131552006203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18816535 + ... + 18823524.

It is an arithmetic number, because the mean of its divisors is an integer number (13211661060).

Almost surely, 2131552006205 is an apocalyptic number.

131552006205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131552006205 is a deficient number, since it is larger than the sum of its proper divisors (79834570755).

131552006205 is a wasteful number, since it uses less digits than its factorization.

131552006205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37640300.

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 131552006205 in words is "one hundred thirty-one billion, five hundred fifty-two million, six thousand, two hundred five".

Divisors: 1 3 5 15 233 699 1165 3495 37640059 112920177 188200295 564600885 8770133747 26310401241 43850668735 131552006205