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2100330031 = 23476732887
BaseRepresentation
bin111110100110000…
…0111111000101111
312102101010211011011
41331030013320233
513300141030111
6544225210051
7103022340112
oct17514077057
95371124134
102100330031
11988644048
124a7490927
132761a5147
1415cd34579
15c45d0021
hex7d307e2f

2100330031 has 16 divisors (see below), whose sum is σ = 2242381824. Its totient is φ = 1962664704.

The previous prime is 2100330019. The next prime is 2100330061. The reversal of 2100330031 is 1300330012.

It is not a de Polignac number, because 2100330031 - 217 = 2100198959 is a prime.

It is a super-2 number, since 2×21003300312 = 8822772478240921922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100329993 and 2100330020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100330061) 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 15 ways as a sum of consecutive naturals, for example, 726070 + ... + 728956.

It is an arithmetic number, because the mean of its divisors is an integer number (140148864).

Almost surely, 22100330031 is an apocalyptic number.

2100330031 is a deficient number, since it is larger than the sum of its proper divisors (142051793).

2100330031 is a wasteful number, since it uses less digits than its factorization.

2100330031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2100330031 is about 45829.3577415176. The cubic root of 2100330031 is about 1280.6462457311.

Adding to 2100330031 its reverse (1300330012), we get a palindrome (3400660043).

The spelling of 2100330031 in words is "two billion, one hundred million, three hundred thirty thousand, thirty-one".

Divisors: 1 23 47 673 1081 2887 15479 31631 66401 135689 727513 1942951 3120847 44687873 91318697 2100330031