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22000132961 is a prime number
BaseRepresentation
bin10100011111010011…
…110110001101100001
32002210020010112212022
4110133103312031201
5330024013223321
614035015111225
71406120021222
oct243723661541
962706115768
1022000132961
11936a557574
12431b972515
1320c7b9a671
1410c9bb7249
1588b657dab
hex51f4f6361

22000132961 has 2 divisors, whose sum is σ = 22000132962. Its totient is φ = 22000132960.

The previous prime is 22000132943. The next prime is 22000133053. The reversal of 22000132961 is 16923100022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21955830625 + 44302336 = 148175^2 + 6656^2 .

It is a cyclic number.

It is not a de Polignac number, because 22000132961 - 214 = 22000116577 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22000132961.

It is not a weakly prime, because it can be changed into another prime (22000102961) 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 as a sum of consecutive naturals, namely, 11000066480 + 11000066481.

It is an arithmetic number, because the mean of its divisors is an integer number (11000066481).

Almost surely, 222000132961 is an apocalyptic number.

It is an amenable number.

22000132961 is a deficient number, since it is larger than the sum of its proper divisors (1).

22000132961 is an equidigital number, since it uses as much as digits as its factorization.

22000132961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 22000132961 its reverse (16923100022), we get a palindrome (38923232983).

The spelling of 22000132961 in words is "twenty-two billion, one hundred thirty-two thousand, nine hundred sixty-one".