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131010133320 = 233351156919381
BaseRepresentation
bin111101000000011001…
…1111111110101001000
3110112011022200100001000
41322000303333311020
54121302043231240
6140104001455000
712315360521313
oct1720063776510
9415138610030
10131010133320
1150619894260
1221483041460
13c47b24c161
1464ab6d397a
15361b897430
hex1e80cffd48

131010133320 has 256 divisors, whose sum is σ = 477262368000. Its totient is φ = 31702579200.

The previous prime is 131010133291. The next prime is 131010133321. The reversal of 131010133320 is 23331010131.

It is a happy number.

131010133320 is a `hidden beast` number, since 1 + 310 + 1 + 0 + 1 + 33 + 320 = 666.

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 = 131010133293 and 131010133302.

It is not an unprimeable number, because it can be changed into a prime (131010133321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6750030 + ... + 6769410.

It is an arithmetic number, because the mean of its divisors is an integer number (1864306125).

Almost surely, 2131010133320 is an apocalyptic number.

131010133320 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 131010133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238631184000).

131010133320 is an abundant number, since it is smaller than the sum of its proper divisors (346252234680).

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

131010133320 is a wasteful number, since it uses less digits than its factorization.

131010133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19981 (or 19971 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131010133320 its reverse (23331010131), we get a palindrome (154341143451).

The spelling of 131010133320 in words is "one hundred thirty-one billion, ten million, one hundred thirty-three thousand, three hundred twenty".