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210123223332137 is a prime number
BaseRepresentation
bin101111110001101100100000…
…000101011111010100101001
31000112222120202201022011022222
4233301230200011133110221
5210020124330133112022
62022521135354123425
762154621233012243
oct5761544005372451
91015876681264288
10210123223332137
1160a51838740645
121b697356420575
1390326c534c28b
1439c60381d9093
151945bc1e44242
hexbf1b2015f529

210123223332137 has 2 divisors, whose sum is σ = 210123223332138. Its totient is φ = 210123223332136.

The previous prime is 210123223332079. The next prime is 210123223332149. The reversal of 210123223332137 is 731233322321012.

210123223332137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113842306035481 + 96280917296656 = 10669691^2 + 9812284^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210123223332137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210123223332097 and 210123223332106.

It is not a weakly prime, because it can be changed into another prime (210123223334137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105061611666068 + 105061611666069.

It is an arithmetic number, because the mean of its divisors is an integer number (105061611666069).

Almost surely, 2210123223332137 is an apocalyptic number.

It is an amenable number.

210123223332137 is a deficient number, since it is larger than the sum of its proper divisors (1).

210123223332137 is an equidigital number, since it uses as much as digits as its factorization.

210123223332137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54432, while the sum is 35.

Adding to 210123223332137 its reverse (731233322321012), we get a palindrome (941356545653149).

The spelling of 210123223332137 in words is "two hundred ten trillion, one hundred twenty-three billion, two hundred twenty-three million, three hundred thirty-two thousand, one hundred thirty-seven".