Search a number
-
+
131998475700 = 223252713592463
BaseRepresentation
bin111101011101110111…
…0001110010110110100
3110121201012102022220100
41322323232032112310
54130313102210300
6140350025234100
712352021350060
oct1727356162664
9417635368810
10131998475700
1150a86775543
12216ba032930
13c5a7c37130
146562a88aa0
153678524700
hex1ebbb8e5b4

131998475700 has 648 divisors, whose sum is σ = 519116718848. Its totient is φ = 27319057920.

The previous prime is 131998475683. The next prime is 131998475711. The reversal of 131998475700 is 7574899131.

It is a happy number.

131998475700 is a `hidden beast` number, since 1 + 3 + 19 + 98 + 475 + 70 + 0 = 666.

131998475700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 285093669 + ... + 285094131.

Almost surely, 2131998475700 is an apocalyptic number.

131998475700 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 131998475700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259558359424).

131998475700 is an abundant number, since it is smaller than the sum of its proper divisors (387118243148).

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

131998475700 is a wasteful number, since it uses less digits than its factorization.

131998475700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 131998475700 in words is "one hundred thirty-one billion, nine hundred ninety-eight million, four hundred seventy-five thousand, seven hundred".