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2113361280 = 27355107127
BaseRepresentation
bin111110111110111…
…0101010110000000
312110021122212200000
41331331311112000
513312010030110
6545412400000
7103241163102
oct17575652600
95407585600
102113361280
11994a34678
124ab916000
13278ab8644
14160967572
15c58061c0
hex7df75580

2113361280 has 384 divisors, whose sum is σ = 7698862080. Its totient is φ = 553900032.

The previous prime is 2113361231. The next prime is 2113361281. The reversal of 2113361280 is 821633112.

It is a happy number.

2113361280 is a `hidden beast` number, since 2 + 11 + 33 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113361281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16640577 + ... + 16640703.

It is an arithmetic number, because the mean of its divisors is an integer number (20049120).

Almost surely, 22113361280 is an apocalyptic number.

2113361280 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 2113361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849431040).

2113361280 is an abundant number, since it is smaller than the sum of its proper divisors (5585500800).

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

2113361280 is a wasteful number, since it uses less digits than its factorization.

2113361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2113361280 is about 45971.3093135273. The cubic root of 2113361280 is about 1283.2893263521.

Adding to 2113361280 its reverse (821633112), we get a palindrome (2934994392).

The spelling of 2113361280 in words is "two billion, one hundred thirteen million, three hundred sixty-one thousand, two hundred eighty".