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2135343000 = 233537234421
BaseRepresentation
bin111111101000110…
…1011111110011000
312111211000122220210
41333101223332120
513333121434000
6551515451120
7103626054540
oct17721537630
95454018823
102135343000
119a638888a
124b7156aa0
13280513a8b
1416384a320
15c76e9350
hex7f46bf98

2135343000 has 256 divisors, whose sum is σ = 7946864640. Its totient is φ = 466752000.

The previous prime is 2135342983. The next prime is 2135343013. The reversal of 2135343000 is 3435312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480790 + ... + 485210.

It is an arithmetic number, because the mean of its divisors is an integer number (31042440).

Almost surely, 22135343000 is an apocalyptic number.

2135343000 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 2135343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973432320).

2135343000 is an abundant number, since it is smaller than the sum of its proper divisors (5811521640).

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

2135343000 is a wasteful number, since it uses less digits than its factorization.

2135343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 2135343000 is about 46209.7716938744. The cubic root of 2135343000 is about 1287.7232842395.

Adding to 2135343000 its reverse (3435312), we get a palindrome (2138778312).

The spelling of 2135343000 in words is "two billion, one hundred thirty-five million, three hundred forty-three thousand".