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131422523100 = 22352111910120753
BaseRepresentation
bin111101001100101100…
…1001000111011011100
3110120020001122220110120
41322121121020323130
54123123131214400
6140212532434540
712331526005011
oct1723131107334
9416201586416
10131422523100
1150810651860
1221579178a50
13c51580ac8b
14650a3a1708
153642ba6ca0
hex1e99648edc

131422523100 has 288 divisors, whose sum is σ = 440994274560. Its totient is φ = 29882880000.

The previous prime is 131422523083. The next prime is 131422523131. The reversal of 131422523100 is 1325224131.

It is a super-2 number, since 2×1314225231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6322324 + ... + 6343076.

It is an arithmetic number, because the mean of its divisors is an integer number (1531230120).

Almost surely, 2131422523100 is an apocalyptic number.

131422523100 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 131422523100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220497137280).

131422523100 is an abundant number, since it is smaller than the sum of its proper divisors (309571751460).

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

131422523100 is a wasteful number, since it uses less digits than its factorization.

131422523100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20901 (or 20894 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 131422523100 its reverse (1325224131), we get a palindrome (132747747231).

The spelling of 131422523100 in words is "one hundred thirty-one billion, four hundred twenty-two million, five hundred twenty-three thousand, one hundred".