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10123210201 = 131722694493
BaseRepresentation
bin10010110110110001…
…11110110111011001
3222010111121100202011
421123120332313121
5131213020211301
64352303305521
7505601603236
oct113330766731
928114540664
1010123210201
114325319725
121b662ab2a1
13c54399610
146c067678d
153e3ae9a51
hex25b63edd9

10123210201 has 12 divisors (see below), whose sum is σ = 11580935212. Its totient is φ = 8794821888.

The previous prime is 10123210171. The next prime is 10123210219. The reversal of 10123210201 is 10201232101.

It can be written as a sum of positive squares in 6 ways, for example, as 1740892176 + 8382318025 = 41724^2 + 91555^2 .

It is not a de Polignac number, because 10123210201 - 29 = 10123209689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10123211201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1343490 + ... + 1351003.

Almost surely, 210123210201 is an apocalyptic number.

It is an amenable number.

10123210201 is a deficient number, since it is larger than the sum of its proper divisors (1457725011).

10123210201 is a wasteful number, since it uses less digits than its factorization.

10123210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694540 (or 2694523 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10123210201 its reverse (10201232101), we get a palindrome (20324442302).

The spelling of 10123210201 in words is "ten billion, one hundred twenty-three million, two hundred ten thousand, two hundred one".

Divisors: 1 13 17 221 289 3757 2694493 35028409 45806381 595482953 778708477 10123210201