10322763201 has 63 divisors (see below), whose sum is σ = 15999901267. Its totient is φ = 6656897520.

The previous prime is 10322763149. The next prime is 10322763229. The reversal of 10322763201 is 10236722301.

The square root of 10322763201 is 101601.

It is a perfect power (a square), and thus also a powerful number.

10322763201 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 27 + 632 + 0 + 1 = 666.

10322763201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7441650225 + 2881112976 = 86265^2 + 53676^2 .

It is not a de Polignac number, because 10322763201 - 2²³ = 10314374593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10322763401) 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 in 62 ways as a sum of consecutive naturals, for example, 145390996 + ... + 145391066.

Almost surely, 2^10322763201 is an apocalyptic number.

10322763201 is the 101601-st square number.

10322763201 is the 50801-st centered octagonal number.

It is an amenable number.

10322763201 is a deficient number, since it is larger than the sum of its proper divisors (5677138066).

10322763201 is an frugal number, since it uses more digits than its factorization.

10322763201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 10322763201 in words is "ten billion, three hundred twenty-two million, seven hundred sixty-three thousand, two hundred one".