Search a number
-
+
10220120021 = 311093024599
BaseRepresentation
bin10011000010010101…
…01010011111010101
3222101020221220000202
421201022222133111
5131412322320041
64410044350245
7511156405166
oct114112523725
928336856022
1010220120021
114374a9a491
121b92845385
13c6b49a6c7
146cd4a176d
153ec38da9b
hex2612aa7d5

10220120021 has 8 divisors (see below), whose sum is σ = 10646592000. Its totient is φ = 9799697520.

The previous prime is 10220119963. The next prime is 10220120033. The reversal of 10220120021 is 12002102201.

It is a happy number.

10220120021 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 a de Polignac number, because none of the positive numbers 2k-10220120021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10220119984 and 10220120011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220120051) 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, 1508921 + ... + 1515678.

It is an arithmetic number, because the mean of its divisors is an integer number (1330824000).

Almost surely, 210220120021 is an apocalyptic number.

It is an amenable number.

10220120021 is a deficient number, since it is larger than the sum of its proper divisors (426471979).

10220120021 is a wasteful number, since it uses less digits than its factorization.

10220120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024739.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10220120021 its reverse (12002102201), we get a palindrome (22222222222).

The spelling of 10220120021 in words is "ten billion, two hundred twenty million, one hundred twenty thousand, twenty-one".

Divisors: 1 31 109 3379 3024599 93762569 329681291 10220120021