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200321313322131 = 32311111964573931
BaseRepresentation
bin101101100011000011110000…
…101110001011010010010011
3222021021112022202100000211200
4231203003300232023102103
5202224031022202302011
61550014201345042243
760123510613431441
oct5543036056132223
9867245282300750
10200321313322131
1158912879005a61
121a573742626383
1387a12ac8b60b1
143767863639b91
151825c3c93b856
hexb630f0b8b493

200321313322131 has 24 divisors (see below), whose sum is σ = 298713843517440. Its totient is φ = 129227931673200.

The previous prime is 200321313322127. The next prime is 200321313322159. The reversal of 200321313322131 is 131223313123002.

200321313322131 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 21 + 313 + 322 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 200321313322131 - 22 = 200321313322127 is a prime.

It is a super-2 number, since 2×2003213133221312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200321313322095 and 200321313322104.

It is not an unprimeable number, because it can be changed into a prime (200321313322111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29184765 + ... + 35389166.

It is an arithmetic number, because the mean of its divisors is an integer number (12446410146560).

Almost surely, 2200321313322131 is an apocalyptic number.

200321313322131 is a deficient number, since it is larger than the sum of its proper divisors (98392530195309).

200321313322131 is a wasteful number, since it uses less digits than its factorization.

200321313322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64585087 (or 64585084 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 200321313322131 its reverse (131223313123002), we get a palindrome (331544626445133).

The spelling of 200321313322131 in words is "two hundred trillion, three hundred twenty-one billion, three hundred thirteen million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 31 93 279 11119 33357 100071 344689 1034067 3102201 64573931 193721793 581165379 2001791861 6005375583 18016126749 717997538789 2153992616367 6461977849101 22257923702459 66773771107377 200321313322131