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2112333102 = 2321169115439
BaseRepresentation
bin111110111100111…
…1010010100101110
312110012201122021100
41331321322110232
513311224124402
6545334343530
7103226351355
oct17571722456
95405648240
102112333102
119943a2140
124ab4baba6
13278818659
1416077a99c
15c56a171c
hex7de7a52e

2112333102 has 48 divisors (see below), whose sum is σ = 5000336640. Its totient is φ = 639133200.

The previous prime is 2112333029. The next prime is 2112333103. The reversal of 2112333102 is 2013332112.

It is a super-2 number, since 2×21123331022 = 8923902267609884808, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112333103) 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, 129099 + ... + 144537.

It is an arithmetic number, because the mean of its divisors is an integer number (104173680).

Almost surely, 22112333102 is an apocalyptic number.

2112333102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2112333102 is an abundant number, since it is smaller than the sum of its proper divisors (2888003538).

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

2112333102 is a wasteful number, since it uses less digits than its factorization.

2112333102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16149 (or 16146 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2112333102 is about 45960.1251303780. The cubic root of 2112333102 is about 1283.0811802265.

Adding to 2112333102 its reverse (2013332112), we get a palindrome (4125665214).

The spelling of 2112333102 in words is "two billion, one hundred twelve million, three hundred thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 691 1382 2073 4146 6219 7601 12438 15202 15439 22803 30878 45606 46317 68409 92634 136818 138951 169829 277902 339658 509487 1018974 1528461 3056922 10668349 21336698 32005047 64010094 96015141 117351839 192030282 234703678 352055517 704111034 1056166551 2112333102