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2113403040 = 253257712953
BaseRepresentation
bin111110111110111…
…1111100010100000
312110021201222221200
41331331333202200
513312012344130
6545413321200
7103241425620
oct17575774240
95407658850
102113403040
11994a62a91
124ab936200
13278b01658
14160978880
15c5813760
hex7df7f8a0

2113403040 has 288 divisors, whose sum is σ = 8361190656. Its totient is φ = 476098560.

The previous prime is 2113402981. The next prime is 2113403051. The reversal of 2113403040 is 403043112.

2113403040 is a `hidden beast` number, since 21 + 1 + 340 + 304 + 0 = 666.

2113403040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 714204 + ... + 717156.

It is an arithmetic number, because the mean of its divisors is an integer number (29031912).

Almost surely, 22113403040 is an apocalyptic number.

2113403040 is a gapful number since it is divisible by the number (20) 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 2113403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180595328).

2113403040 is an abundant number, since it is smaller than the sum of its proper divisors (6247787616).

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

2113403040 is a wasteful number, since it uses less digits than its factorization.

2113403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2113403040 is about 45971.7635076141. The cubic root of 2113403040 is about 1283.2977788917.

Adding to 2113403040 its reverse (403043112), we get a palindrome (2516446152).

The spelling of 2113403040 in words is "two billion, one hundred thirteen million, four hundred three thousand, forty".