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2130011008 = 2741405871
BaseRepresentation
bin111111011110101…
…0110001110000000
312111102222202210121
41332331112032000
513330240323013
6551205310024
7103532536426
oct17675261600
95442882717
102130011008
119a3376884
124b5405314
1327c397b58
14162c5d116
15c6ee458d
hex7ef56380

2130011008 has 32 divisors (see below), whose sum is σ = 4346889120. Its totient is φ = 1039027200.

The previous prime is 2130010997. The next prime is 2130011033. The reversal of 2130011008 is 8001100312.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2130010982 and 2130011000.

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 3 ways as a sum of consecutive naturals, for example, 197688 + ... + 208183.

It is an arithmetic number, because the mean of its divisors is an integer number (135840285).

Almost surely, 22130011008 is an apocalyptic number.

It is an amenable number.

2130011008 is an abundant number, since it is smaller than the sum of its proper divisors (2216878112).

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

2130011008 is an equidigital number, since it uses as much as digits as its factorization.

2130011008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405926 (or 405914 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 2130011008 is about 46152.0422950058. The cubic root of 2130011008 is about 1286.6505677184.

The spelling of 2130011008 in words is "two billion, one hundred thirty million, eleven thousand, eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 405871 811742 1623484 3246968 6493936 12987872 16640711 25975744 33281422 51951488 66562844 133125688 266251376 532502752 1065005504 2130011008