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131422435320 = 2335111921312459
BaseRepresentation
bin111101001100101100…
…0110011011111111000
3110120020001111110001110
41322121120303133320
54123123120412240
6140212530520320
712331525161051
oct1723130633770
9416201443043
10131422435320
11508105a1910
12215791360a0
13c5157aa037
14650a37b728
153642b8ac80
hex1e996337f8

131422435320 has 256 divisors, whose sum is σ = 453143808000. Its totient is φ = 30156710400.

The previous prime is 131422435273. The next prime is 131422435357. The reversal of 131422435320 is 23534224131.

It is a super-3 number, since 3×1314224353203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53444251 + ... + 53446709.

It is an arithmetic number, because the mean of its divisors is an integer number (1770093000).

Almost surely, 2131422435320 is an apocalyptic number.

131422435320 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 131422435320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226571904000).

131422435320 is an abundant number, since it is smaller than the sum of its proper divisors (321721372680).

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

131422435320 is a wasteful number, since it uses less digits than its factorization.

131422435320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 131422435320 its reverse (23534224131), we get a palindrome (154956659451).

The spelling of 131422435320 in words is "one hundred thirty-one billion, four hundred twenty-two million, four hundred thirty-five thousand, three hundred twenty".