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2300000331121 = 611091580921881
BaseRepresentation
bin100001011110000010101…
…100111110010101110001
322010212200222101200220221
4201132002230332111301
5300140400041043441
64520334445133041
7325112103146653
oct41360254762561
98125628350827
102300000331121
11807474253939
1231190955a181
13138b7347a8bc
147d46ba7a6d3
153ec657048d1
hex21782b3e571

2300000331121 has 16 divisors (see below), whose sum is σ = 2359409144400. Its totient is φ = 2241296179200.

The previous prime is 2300000331113. The next prime is 2300000331143. The reversal of 2300000331121 is 1211330000032.

2300000331121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1292257400625 + 1007742930496 = 1136775^2 + 1003864^2 .

It is a cyclic number.

It is not a de Polignac number, because 2300000331121 - 23 = 2300000331113 is a prime.

It is a super-2 number, since 2×23000003311212 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2300000331095 and 2300000331104.

It is not an unprimeable number, because it can be changed into a prime (2300000331151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105103101 + ... + 105124981.

It is an arithmetic number, because the mean of its divisors is an integer number (147463071525).

Almost surely, 22300000331121 is an apocalyptic number.

It is an amenable number.

2300000331121 is a deficient number, since it is larger than the sum of its proper divisors (59408813279).

2300000331121 is a wasteful number, since it uses less digits than its factorization.

2300000331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37860.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 2300000331121 its reverse (1211330000032), we get a palindrome (3511330331153).

The spelling of 2300000331121 in words is "two trillion, three hundred billion, three hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 61 109 6649 15809 21881 964349 1334741 1723181 2385029 105114041 145486769 345916729 21100920469 37704923461 2300000331121