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131113322340 = 2235711138212659
BaseRepresentation
bin111101000011011110…
…1101000011101100100
3110112102111211212202120
41322012331220131210
54122010002303330
6140122125305540
712321052565040
oct1720675503544
9415374755676
10131113322340
1150672063740
12214b17052b0
13c49673b350
1464bb2b5020
15362597bc10
hex1e86f68764

131113322340 has 384 divisors, whose sum is σ = 493698723840. Its totient is φ = 25108531200.

The previous prime is 131113322323. The next prime is 131113322369. The reversal of 131113322340 is 43223311131.

It is a self number, because there is not a number n which added to its sum of digits gives 131113322340.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49307931 + ... + 49310589.

It is an arithmetic number, because the mean of its divisors is an integer number (1285673760).

Almost surely, 2131113322340 is an apocalyptic number.

131113322340 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 131113322340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246849361920).

131113322340 is an abundant number, since it is smaller than the sum of its proper divisors (362585401500).

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

131113322340 is a wasteful number, since it uses less digits than its factorization.

131113322340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131113322340 its reverse (43223311131), we get a palindrome (174336633471).

The spelling of 131113322340 in words is "one hundred thirty-one billion, one hundred thirteen million, three hundred twenty-two thousand, three hundred forty".