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131232132112122 = 23417313897875021
BaseRepresentation
bin11101110101101011011100…
…100111100001111011111010
3122012122200001220221211010000
4131311223130213201323322
5114200101401310041442
61143035113105133430
736433131366643626
oct3565533447417372
9565580056854100
10131232132112122
11388a62643a9788
12128757bb62a276
13582c1a1b87292
142459951d7a186
1510289b0169d4c
hex775adc9e1efa

131232132112122 has 320 divisors, whose sum is σ = 322698273131520. Its totient is φ = 39681948211200.

The previous prime is 131232132112099. The next prime is 131232132112177. The reversal of 131232132112122 is 221211231232131.

131232132112122 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 321 + 3 + 211 + 2 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26136649972 + ... + 26136654992.

It is an arithmetic number, because the mean of its divisors is an integer number (1008432103536).

Almost surely, 2131232132112122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131232132112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161349136565760).

131232132112122 is an abundant number, since it is smaller than the sum of its proper divisors (191466141019398).

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

131232132112122 is a wasteful number, since it uses less digits than its factorization.

131232132112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6259 (or 6250 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 131232132112122 its reverse (221211231232131), we get a palindrome (352443363344253).

The spelling of 131232132112122 in words is "one hundred thirty-one trillion, two hundred thirty-two billion, one hundred thirty-two million, one hundred twelve thousand, one hundred twenty-two".