Search a number
-
+
113535555020140 = 2251141101200362219
BaseRepresentation
bin11001110100001010001110…
…011011010010010101101100
3112212222220010001001221020111
4121310022032123102111230
5104340131304041121030
61041245303002025404
732625446615400211
oct3164121633222554
9485886101057214
10113535555020140
11331a3181a41230
1210897b4b7a8264
134b47484150286
142007216161b08
15d1d4c120062a
hex67428e6d256c

113535555020140 has 192 divisors, whose sum is σ = 269220249607680. Its totient is φ = 39859339520000.

The previous prime is 113535555020101. The next prime is 113535555020143. The reversal of 113535555020140 is 41020555535311.

It is a junction number, because it is equal to n+sod(n) for n = 113535555020093 and 113535555020102.

It is not an unprimeable number, because it can be changed into a prime (113535555020143) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1824741951 + ... + 1824804169.

It is an arithmetic number, because the mean of its divisors is an integer number (1402188800040).

Almost surely, 2113535555020140 is an apocalyptic number.

113535555020140 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 113535555020140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134610124803840).

113535555020140 is an abundant number, since it is smaller than the sum of its proper divisors (155684694587540).

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

113535555020140 is a wasteful number, since it uses less digits than its factorization.

113535555020140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64384 (or 64382 counting only the distinct ones).

The product of its (nonzero) digits is 225000, while the sum is 40.

The spelling of 113535555020140 in words is "one hundred thirteen trillion, five hundred thirty-five billion, five hundred fifty-five million, twenty thousand, one hundred forty".