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2116335012 = 22311210114431
BaseRepresentation
bin111111000100100…
…1011010110100100
312110111020221212020
41332021023112210
513313240210022
6550000223140
7103305356631
oct17611132644
95414227766
102116335012
11996685900
124b090aab0
132795ba04c
141610dd188
15c5be235c
hex7e24b5a4

2116335012 has 72 divisors (see below), whose sum is σ = 5481966336. Its totient is φ = 634920000.

The previous prime is 2116334971. The next prime is 2116335019. The reversal of 2116335012 is 2105336112.

It is not an unprimeable number, because it can be changed into a prime (2116335019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139437 + ... + 153867.

Almost surely, 22116335012 is an apocalyptic number.

2116335012 is a gapful number since it is divisible by the number (22) 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 2116335012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740983168).

2116335012 is an abundant number, since it is smaller than the sum of its proper divisors (3365631324).

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

2116335012 is a wasteful number, since it uses less digits than its factorization.

2116335012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14561 (or 14548 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2116335012 is about 46003.6412906631. The cubic root of 2116335012 is about 1283.8909540452.

The spelling of 2116335012 in words is "two billion, one hundred sixteen million, three hundred thirty-five thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 121 132 202 242 303 363 404 484 606 726 1111 1212 1452 2222 3333 4444 6666 12221 13332 14431 24442 28862 36663 43293 48884 57724 73326 86586 146652 158741 173172 317482 476223 634964 952446 1457531 1746151 1904892 2915062 3492302 4372593 5238453 5830124 6984604 8745186 10476906 16032841 17490372 20953812 32065682 48098523 64131364 96197046 176361251 192394092 352722502 529083753 705445004 1058167506 2116335012