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1982201310 = 232522024459
BaseRepresentation
bin111011000100101…
…1111110111011110
312010010212021000100
41312021133313132
513024420420220
6524405241530
7100056301365
oct16611376736
95103767010
101982201310
119279a0201
12473a032a6
13257884bab
1414b3847dc
15b9048d90
hex7625fdde

1982201310 has 24 divisors (see below), whose sum is σ = 5153723640. Its totient is φ = 528586992.

The previous prime is 1982201279. The next prime is 1982201357. The reversal of 1982201310 is 131022891.

It is a super-2 number, since 2×19822013102 = 7858244066731432200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11012140 + ... + 11012319.

It is an arithmetic number, because the mean of its divisors is an integer number (214738485).

Almost surely, 21982201310 is an apocalyptic number.

1982201310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1982201310 is an abundant number, since it is smaller than the sum of its proper divisors (3171522330).

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

1982201310 is a wasteful number, since it uses less digits than its factorization.

1982201310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22024472 (or 22024469 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1982201310 is about 44521.9194330164. The cubic root of 1982201310 is about 1256.1724169805.

The spelling of 1982201310 in words is "one billion, nine hundred eighty-two million, two hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 22024459 44048918 66073377 110122295 132146754 198220131 220244590 330366885 396440262 660733770 991100655 1982201310