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2123660000 = 25547211197
BaseRepresentation
bin111111010010100…
…0111101011100000
312111000001002212002
41332211013223200
513322124110000
6550421223132
7103424545400
oct17645075340
95430032762
102123660000
1199a829210
124b3261aa8
1327ac83167
14162088800
15c668c8d5
hex7e947ae0

2123660000 has 360 divisors, whose sum is σ = 6663660696. Its totient is φ = 658560000.

The previous prime is 2123659999. The next prime is 2123660027. The reversal of 2123660000 is 663212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10779902 + ... + 10780098.

Almost surely, 22123660000 is an apocalyptic number.

2123660000 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 2123660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331830348).

2123660000 is an abundant number, since it is smaller than the sum of its proper divisors (4540000696).

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

2123660000 is a wasteful number, since it uses less digits than its factorization.

2123660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2123660000 is about 46083.1856537718. The cubic root of 2123660000 is about 1285.3705018531.

The spelling of 2123660000 in words is "two billion, one hundred twenty-three million, six hundred sixty thousand".