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10022111020 = 22512719720029
BaseRepresentation
bin10010101010101110…
…10100011100101100
3221212110100222202001
421111113110130230
5131011130023040
64334252342044
7503233352365
oct112527243454
927773328661
1010022111020
114283247389
121b38474924
13c3945c70c
146b107ab6c
153d9cc959a
hex2555d472c

10022111020 has 48 divisors (see below), whose sum is σ = 21320893440. Its totient is φ = 3956891904.

The previous prime is 10022110991. The next prime is 10022111027. The reversal of 10022111020 is 2011122001.

10022111020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10022110988 and 10022111006.

It is not an unprimeable number, because it can be changed into a prime (10022111027) 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 15 ways as a sum of consecutive naturals, for example, 490366 + ... + 510394.

It is an arithmetic number, because the mean of its divisors is an integer number (444185280).

Almost surely, 210022111020 is an apocalyptic number.

10022111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022111020 is an abundant number, since it is smaller than the sum of its proper divisors (11298782420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10022111020 is a wasteful number, since it uses less digits than its factorization.

10022111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20362 (or 20360 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10022111020 its reverse (2011122001), we get a palindrome (12033233021).

The spelling of 10022111020 in words is "ten billion, twenty-two million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 127 197 254 394 508 635 788 985 1270 1970 2540 3940 20029 25019 40058 50038 80116 100076 100145 125095 200290 250190 400580 500380 2543683 3945713 5087366 7891426 10174732 12718415 15782852 19728565 25436830 39457130 50873660 78914260 501105551 1002211102 2004422204 2505527755 5011055510 10022111020