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131583286082311 = 7533131133137157
BaseRepresentation
bin11101111010110010011111…
…000001100111101100000111
3122020220020110110002202222121
4131322302133001213230013
5114221330032214113221
61143504305505310411
736500402331306520
oct3572623701475407
9566806413082877
10131583286082311
1138a211816959a8
1212911880335407
135856334851aab
14246c944b99847
151032bb3665a41
hex77ac9f067b07

131583286082311 has 16 divisors (see below), whose sum is σ = 153707789208384. Its totient is φ = 110304103313664.

The previous prime is 131583286082243. The next prime is 131583286082327. The reversal of 131583286082311 is 113280682385131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131583286082311 is a prime.

It is a super-2 number, since 2×1315832860823112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131583286083311) 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, 566452456 + ... + 566684701.

It is an arithmetic number, because the mean of its divisors is an integer number (9606736825524).

Almost surely, 2131583286082311 is an apocalyptic number.

131583286082311 is a deficient number, since it is larger than the sum of its proper divisors (22124503126073).

131583286082311 is a wasteful number, since it uses less digits than its factorization.

131583286082311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133137530.

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 131583286082311 in words is "one hundred thirty-one trillion, five hundred eighty-three billion, two hundred eighty-six million, eighty-two thousand, three hundred eleven".

Divisors: 1 7 53 313 371 2191 16589 116123 1133137157 7931960099 60056269321 354671930141 420393885247 2482703510987 18797612297473 131583286082311