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131312041110 = 2355411936829
BaseRepresentation
bin111101001001011001…
…1101011110010010110
3110112221100202211200000
41322102303223302112
54122411340303420
6140153544432130
712326014635045
oct1722263536226
9415840684600
10131312041110
1150764251028
1221548178646
13c4c8967413
1464d984255c
153638131690
hex1e92cebc96

131312041110 has 192 divisors, whose sum is σ = 364624303680. Its totient is φ = 33980497920.

The previous prime is 131312041109. The next prime is 131312041123. The reversal of 131312041110 is 11140213131.

It is a happy number.

131312041110 is a `hidden beast` number, since 131 + 3 + 120 + 411 + 1 + 0 = 666.

131312041110 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19225176 + ... + 19232004.

It is an arithmetic number, because the mean of its divisors is an integer number (1899084915).

Almost surely, 2131312041110 is an apocalyptic number.

131312041110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131312041110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182312151840).

131312041110 is an abundant number, since it is smaller than the sum of its proper divisors (233312262570).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131312041110 is a wasteful number, since it uses less digits than its factorization.

131312041110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7085 (or 7073 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131312041110 its reverse (11140213131), we get a palindrome (142452254241).

The spelling of 131312041110 in words is "one hundred thirty-one billion, three hundred twelve million, forty-one thousand, one hundred ten".