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10022231431 = 79705717977
BaseRepresentation
bin10010101010101111…
…10001110110000111
3221212110121002220201
421111113301312013
5131011142401211
64334255111331
7503234363422
oct112527616607
927773532821
1010022231431
1142833198a3
121b38512547
13c394a2474
146b10ac9b9
153d9d000c1
hex2555f1d87

10022231431 has 8 divisors (see below), whose sum is σ = 10151097920. Its totient is φ = 9893415168.

The previous prime is 10022231371. The next prime is 10022231441. The reversal of 10022231431 is 13413222001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10022231431 - 215 = 10022198663 is a prime.

It is a super-2 number, since 2×100222314312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10022231399 and 10022231408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022231441) 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 in 7 ways as a sum of consecutive naturals, for example, 548515 + ... + 566491.

It is an arithmetic number, because the mean of its divisors is an integer number (1268887240).

Almost surely, 210022231431 is an apocalyptic number.

10022231431 is a deficient number, since it is larger than the sum of its proper divisors (128866489).

10022231431 is an equidigital number, since it uses as much as digits as its factorization.

10022231431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25113.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10022231431 its reverse (13413222001), we get a palindrome (23435453432).

The spelling of 10022231431 in words is "ten billion, twenty-two million, two hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 79 7057 17977 557503 1420183 126863689 10022231431