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131063001641 = 11134735954319
BaseRepresentation
bin111101000001111110…
…1101011001000101001
3110112022000011022201222
41322003331223020221
54121404112023031
6140113130551425
712316602063335
oct1720375531051
9415260138658
10131063001641
1150646713a90
1221498898575
13c48919cca0
1464b47367c5
15362133be7b
hex1e83f6b229

131063001641 has 32 divisors (see below), whose sum is σ = 157693132800. Its totient is φ = 107341058880.

The previous prime is 131063001611. The next prime is 131063001691. The reversal of 131063001641 is 146100360131.

It is not a de Polignac number, because 131063001641 - 210 = 131063000617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131063001641.

It is not an unprimeable number, because it can be changed into a prime (131063001611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2385680 + ... + 2439998.

It is an arithmetic number, because the mean of its divisors is an integer number (4927910400).

Almost surely, 2131063001641 is an apocalyptic number.

131063001641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131063001641 is a deficient number, since it is larger than the sum of its proper divisors (26630131159).

131063001641 is a wasteful number, since it uses less digits than its factorization.

131063001641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54749.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 131063001641 its reverse (146100360131), we get a palindrome (277163361772).

The spelling of 131063001641 in words is "one hundred thirty-one billion, sixty-three million, one thousand, six hundred forty-one".

Divisors: 1 11 13 47 143 359 517 611 3949 4667 6721 16873 51337 54319 185603 219349 597509 706147 2412839 2552993 7767617 19500521 28082923 33188909 214505731 253506773 365077999 916524487 2788574503 10081769357 11914818331 131063001641