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131353452223350 = 23527613535809619
BaseRepresentation
bin11101110111011100011011…
…110111000001101101110110
3122020002021012221011000202220
4131313130123313001231312
5114204043332232121400
61143210535400143210
736444654665611050
oct3567343367015566
9566067187130686
10131353452223350
1138942760447a15
1212895219467b06
13583a7676cb546
14246178075a8d0
15102bc10e847a0
hex77771bdc1b76

131353452223350 has 192 divisors, whose sum is σ = 379468390325760. Its totient is φ = 29447791718400.

The previous prime is 131353452223307. The next prime is 131353452223369. The reversal of 131353452223350 is 53322254353131.

It is a super-3 number, since 3×1313534522233503 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 19704841 + ... + 25514459.

It is an arithmetic number, because the mean of its divisors is an integer number (1976397866280).

Almost surely, 2131353452223350 is an apocalyptic number.

131353452223350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131353452223350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189734195162880).

131353452223350 is an abundant number, since it is smaller than the sum of its proper divisors (248114938102410).

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

131353452223350 is a wasteful number, since it uses less digits than its factorization.

131353452223350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5810055 (or 5810050 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 42.

The spelling of 131353452223350 in words is "one hundred thirty-one trillion, three hundred fifty-three billion, four hundred fifty-two million, two hundred twenty-three thousand, three hundred fifty".