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2113457000 = 235317271103
BaseRepresentation
bin111110111111000…
…1100101101101000
312110021211201222012
41331332030231220
513312021111000
6545414415052
7103242042134
oct17576145550
95407751865
102113457000
11994a9a586
124ab961488
13278b20095
141609903c4
15c5824735
hex7df8cb68

2113457000 has 192 divisors, whose sum is σ = 5379229440. Its totient is φ = 776832000.

The previous prime is 2113456999. The next prime is 2113457011. The reversal of 2113457000 is 7543112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20518949 + ... + 20519051.

It is an arithmetic number, because the mean of its divisors is an integer number (28016820).

Almost surely, 22113457000 is an apocalyptic number.

2113457000 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 2113457000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689614720).

2113457000 is an abundant number, since it is smaller than the sum of its proper divisors (3265772440).

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

2113457000 is a wasteful number, since it uses less digits than its factorization.

2113457000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 2113457000 is about 45972.3503858569. The cubic root of 2113457000 is about 1283.3087006385.

The spelling of 2113457000 in words is "two billion, one hundred thirteen million, four hundred fifty-seven thousand".