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2101122012 = 2231115917591
BaseRepresentation
bin111110100111100…
…1001001111011100
312102102122001112210
41331033021033130
513300341401022
6544254200420
7103032146103
oct17517111734
95372561483
102101122012
11989035080
124a77b3110
132763c1782
1415d09d03a
15c46d9a0c
hex7d3c93dc

2101122012 has 24 divisors (see below), whose sum is σ = 5348310912. Its totient is φ = 636703600.

The previous prime is 2101121959. The next prime is 2101122017. The reversal of 2101122012 is 2102211012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101122017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7958664 + ... + 7958927.

It is an arithmetic number, because the mean of its divisors is an integer number (222846288).

Almost surely, 22101122012 is an apocalyptic number.

2101122012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2101122012 is an abundant number, since it is smaller than the sum of its proper divisors (3247188900).

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

2101122012 is a wasteful number, since it uses less digits than its factorization.

2101122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15917609 (or 15917607 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2101122012 is about 45837.9974693485. The cubic root of 2101122012 is about 1280.8071918719.

Adding to 2101122012 its reverse (2102211012), we get a palindrome (4203333024).

The spelling of 2101122012 in words is "two billion, one hundred one million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 15917591 31835182 47752773 63670364 95505546 175093501 191011092 350187002 525280503 700374004 1050561006 2101122012