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2120100264 = 23339815279
BaseRepresentation
bin111111001011110…
…0010100110101000
312110202100020211000
41332113202212220
513320221202024
6550213035000
7103352361222
oct17627424650
95422306730
102120100264
11998817787
124b2025a60
1327a307ac9
141617dd412
15c61d7cc9
hex7e5e29a8

2120100264 has 32 divisors (see below), whose sum is σ = 5889168000. Its totient is φ = 706700016.

The previous prime is 2120100263. The next prime is 2120100271. The reversal of 2120100264 is 4620010212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2120100263) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4907424 + ... + 4907855.

It is an arithmetic number, because the mean of its divisors is an integer number (184036500).

Almost surely, 22120100264 is an apocalyptic number.

2120100264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2120100264 is an abundant number, since it is smaller than the sum of its proper divisors (3769067736).

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

2120100264 is a wasteful number, since it uses less digits than its factorization.

2120100264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9815294 (or 9815284 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2120100264 is about 46044.5465174759. The cubic root of 2120100264 is about 1284.6519093285.

Adding to 2120100264 its reverse (4620010212), we get a palindrome (6740110476).

The spelling of 2120100264 in words is "two billion, one hundred twenty million, one hundred thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 9815279 19630558 29445837 39261116 58891674 78522232 88337511 117783348 176675022 235566696 265012533 353350044 530025066 706700088 1060050132 2120100264