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131022401120 = 255133419091
BaseRepresentation
bin111101000000110001…
…0110010111001100000
3110112012011202121021222
41322001202302321200
54121313213313440
6140105120434212
712315600014432
oct1720142627140
9415164677258
10131022401120
1150625803236
1221487178968
13c480956000
1464ad1a8652
15361c9bc2b5
hex1e818b2e60

131022401120 has 192 divisors, whose sum is σ = 343540128960. Its totient is φ = 47192371200.

The previous prime is 131022401119. The next prime is 131022401129. The reversal of 131022401120 is 21104220131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131022401129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14407775 + ... + 14416865.

It is an arithmetic number, because the mean of its divisors is an integer number (1789271505).

Almost surely, 2131022401120 is an apocalyptic number.

131022401120 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 131022401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171770064480).

131022401120 is an abundant number, since it is smaller than the sum of its proper divisors (212517727840).

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

131022401120 is an equidigital number, since it uses as much as digits as its factorization.

131022401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9186 (or 9152 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 131022401120 its reverse (21104220131), we get a palindrome (152126621251).

The spelling of 131022401120 in words is "one hundred thirty-one billion, twenty-two million, four hundred one thousand, one hundred twenty".