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131022334720 = 285172438237
BaseRepresentation
bin111101000000110001…
…0100010101100000000
3110112012011122020012201
41322001202202230000
54121313204202340
6140105115202544
712315566320024
oct1720142425400
9415164566181
10131022334720
1150625768362
1221487146454
13c480931a14
1464ad18c384
15361c9a779a
hex1e818a2b00

131022334720 has 216 divisors, whose sum is σ = 341181119664. Its totient is φ = 48173088768.

The previous prime is 131022334699. The next prime is 131022334721. The reversal of 131022334720 is 27433220131.

It is a super-3 number, since 3×1310223347203 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131022334721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15902442 + ... + 15910678.

Almost surely, 2131022334720 is an apocalyptic number.

131022334720 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 131022334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170590559832).

131022334720 is an abundant number, since it is smaller than the sum of its proper divisors (210158784944).

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

131022334720 is an equidigital number, since it uses as much as digits as its factorization.

131022334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8335 (or 8304 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

Adding to 131022334720 its reverse (27433220131), we get a palindrome (158455554851).

The spelling of 131022334720 in words is "one hundred thirty-one billion, twenty-two million, three hundred thirty-four thousand, seven hundred twenty".