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2135231280 = 243557131771
BaseRepresentation
bin111111101000101…
…0000101100110000
312111210210222200000
41333101100230300
513333104400110
6551513230000
7103625111040
oct17721205460
95453728600
102135231280
119a6311956
124b7102300
132804a4c80
1416381b720
15c76c61c0
hex7f450b30

2135231280 has 960 divisors, whose sum is σ = 9827371008. Its totient is φ = 418037760.

The previous prime is 2135231269. The next prime is 2135231281. The reversal of 2135231280 is 821325312.

2135231280 is a `hidden beast` number, since 2 + 1 + 352 + 31 + 280 = 666.

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 (2135231281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30073645 + ... + 30073715.

Almost surely, 22135231280 is an apocalyptic number.

2135231280 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 2135231280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913685504).

2135231280 is an abundant number, since it is smaller than the sum of its proper divisors (7692139728).

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

2135231280 is a wasteful number, since it uses less digits than its factorization.

2135231280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2135231280 is about 46208.5628428325. The cubic root of 2135231280 is about 1287.7008261841.

Adding to 2135231280 its reverse (821325312), we get a palindrome (2956556592).

The spelling of 2135231280 in words is "two billion, one hundred thirty-five million, two hundred thirty-one thousand, two hundred eighty".