Search a number
-
+
2121002994 = 23111711316729
BaseRepresentation
bin111111001101011…
…1110111111110010
312110211001010010110
41332122332333302
513320434043434
6550244242150
7103363141125
oct17632767762
95424033113
102121002994
11999283a40
124b23a0356
1327a562976
141619963bc
15c63154e9
hex7e6beff2

2121002994 has 64 divisors (see below), whose sum is σ = 4943514240. Its totient is φ = 599531520.

The previous prime is 2121002969. The next prime is 2121003013. The reversal of 2121002994 is 4992001212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118422 + ... + 135150.

It is an arithmetic number, because the mean of its divisors is an integer number (77242410).

Almost surely, 22121002994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121002994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471757120).

2121002994 is an abundant number, since it is smaller than the sum of its proper divisors (2822511246).

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

2121002994 is a wasteful number, since it uses less digits than its factorization.

2121002994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16875.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2121002994 is about 46054.3482637633. The cubic root of 2121002994 is about 1284.8342166277.

The spelling of 2121002994 in words is "two billion, one hundred twenty-one million, two thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 113 187 226 339 374 561 678 1122 1243 1921 2486 3729 3842 5763 7458 11526 16729 21131 33458 42262 50187 63393 100374 126786 184019 284393 368038 552057 568786 853179 1104114 1706358 1890377 3128323 3780754 5671131 6256646 9384969 11342262 18769938 20794147 32136409 41588294 62382441 64272818 96409227 124764882 192818454 353500499 707000998 1060501497 2121002994