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131233010040 = 233251135992311
BaseRepresentation
bin111101000111000011…
…0001101000101111000
3110112201212001122102100
41322032012031011320
54122231122310130
6140142042503400
712324035115546
oct1721606150570
9415655048370
10131233010040
11507236818a0
1221525804b60
13c4b5486082
1464cd14cd96
15363121ec60
hex1e8e18d178

131233010040 has 192 divisors, whose sum is σ = 466581772800. Its totient is φ = 31725100800.

The previous prime is 131233010039. The next prime is 131233010087. The reversal of 131233010040 is 40010332131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131233009995 and 131233010022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1375485 + ... + 1467795.

It is an arithmetic number, because the mean of its divisors is an integer number (2430113400).

Almost surely, 2131233010040 is an apocalyptic number.

131233010040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131233010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233290886400).

131233010040 is an abundant number, since it is smaller than the sum of its proper divisors (335348762760).

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

131233010040 is a wasteful number, since it uses less digits than its factorization.

131233010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92698 (or 92691 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131233010040 its reverse (40010332131), we get a palindrome (171243342171).

The spelling of 131233010040 in words is "one hundred thirty-one billion, two hundred thirty-three million, ten thousand, forty".