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2302112030031 = 321131627735247
BaseRepresentation
bin100001100000000000100…
…100011101110101001111
322011002011010221010020200
4201200000210131311033
5300204211134430111
64521324202144543
7325215324250362
oct41400044356517
98132133833220
102302112030031
11808358252550
123121b87b2153
1313911bb03698
147d5cc2d00d9
153ed3accd256
hex2180091dd4f

2302112030031 has 24 divisors (see below), whose sum is σ = 3627690104064. Its totient is φ = 1395173399760.

The previous prime is 2302112029979. The next prime is 2302112030147. The reversal of 2302112030031 is 1300302112032.

2302112030031 is a `hidden beast` number, since 2 + 302 + 11 + 20 + 300 + 31 = 666.

It is not a de Polignac number, because 2302112030031 - 218 = 2302111767887 is a prime.

It is a super-2 number, since 2×23021120300312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2302112029986 and 2302112030013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302112430031) 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 23 ways as a sum of consecutive naturals, for example, 2763450 + ... + 3498696.

It is an arithmetic number, because the mean of its divisors is an integer number (151153754336).

Almost surely, 22302112030031 is an apocalyptic number.

2302112030031 is a deficient number, since it is larger than the sum of its proper divisors (1325578074033).

2302112030031 is a wasteful number, since it uses less digits than its factorization.

2302112030031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766891 (or 766888 counting only the distinct ones).

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

Adding to 2302112030031 its reverse (1300302112032), we get a palindrome (3602414142063).

The spelling of 2302112030031 in words is "two trillion, three hundred two billion, one hundred twelve million, thirty thousand, thirty-one".

Divisors: 1 3 9 11 33 99 31627 94881 284643 347897 735247 1043691 2205741 3131073 6617223 8087717 24263151 72789453 23253656869 69760970607 209282911821 255790225559 767370676677 2302112030031