Search a number
-
+
10021322131 = 411109220399
BaseRepresentation
bin10010101010101000…
…10011110110010011
3221212101212220120221
421111110103312103
5131010424302011
64334223413511
7503223555412
oct112524236623
927771786527
1010021322131
114282858707
121b38154297
13c39244612
146b0d13479
153d9bc0971
hex255513d93

10021322131 has 8 divisors (see below), whose sum is σ = 10275048000. Its totient is φ = 9768039360.

The previous prime is 10021322083. The next prime is 10021322137. The reversal of 10021322131 is 13122312001.

10021322131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10021322131 - 221 = 10019224979 is a prime.

It is a super-2 number, since 2×100213221312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021322137) 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 7 ways as a sum of consecutive naturals, for example, 64731 + ... + 155668.

It is an arithmetic number, because the mean of its divisors is an integer number (1284381000).

Almost surely, 210021322131 is an apocalyptic number.

10021322131 is a deficient number, since it is larger than the sum of its proper divisors (253725869).

10021322131 is a wasteful number, since it uses less digits than its factorization.

10021322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221549.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10021322131 its reverse (13122312001), we get a palindrome (23143634132).

The spelling of 10021322131 in words is "ten billion, twenty-one million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 41 1109 45469 220399 9036359 244422491 10021322131