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10123233977 is a prime number
BaseRepresentation
bin10010110110110010…
…00100101010111001
3222010111122120100202
421123121010222321
5131213021441402
64352304011545
7505602032453
oct113331045271
928114576322
1010123233977
11432533557a
121b66300bb5
13c543a739c
146c06812d3
153e3b01b02
hex25b644ab9

10123233977 has 2 divisors, whose sum is σ = 10123233978. Its totient is φ = 10123233976.

The previous prime is 10123233973. The next prime is 10123234013. The reversal of 10123233977 is 77933232101.

10123233977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8350487161 + 1772746816 = 91381^2 + 42104^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123233977 - 22 = 10123233973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10123233977.

It is not a weakly prime, because it can be changed into another prime (10123233973) 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 as a sum of consecutive naturals, namely, 5061616988 + 5061616989.

It is an arithmetic number, because the mean of its divisors is an integer number (5061616989).

Almost surely, 210123233977 is an apocalyptic number.

It is an amenable number.

10123233977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123233977 is an equidigital number, since it uses as much as digits as its factorization.

10123233977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47628, while the sum is 38.

The spelling of 10123233977 in words is "ten billion, one hundred twenty-three million, two hundred thirty-three thousand, nine hundred seventy-seven".