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2100000012 = 2231121446281
BaseRepresentation
bin111110100101011…
…0111010100001100
312102100112001110020
41331022313110030
513300100000022
6544214142140
7103016464005
oct17512672414
95370461406
102100000012
11988439100
124a7351950
132760bab76
1415cc8a1ac
15c456735c
hex7d2b750c

2100000012 has 36 divisors (see below), whose sum is σ = 5385954168. Its totient is φ = 636363200.

The previous prime is 2100000011. The next prime is 2100000017.

It is a happy number.

2100000012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (2100000011) 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 11 ways as a sum of consecutive naturals, for example, 721689 + ... + 724592.

It is an arithmetic number, because the mean of its divisors is an integer number (149609838).

Almost surely, 22100000012 is an apocalyptic number.

2100000012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2100000012 is an abundant number, since it is smaller than the sum of its proper divisors (3285954156).

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

2100000012 is a wasteful number, since it uses less digits than its factorization.

2100000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446310 (or 1446297 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2100000012 is about 45825.7570804891. The cubic root of 2100000012 is about 1280.5791674267.

It can be divided in two parts, 21000000 and 12, that added together give a palindrome (21000012).

The spelling of 2100000012 in words is "two billion, one hundred million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 1446281 2892562 4338843 5785124 8677686 15909091 17355372 31818182 47727273 63636364 95454546 175000001 190909092 350000002 525000003 700000004 1050000006 2100000012