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10022100220 = 2251150119091
BaseRepresentation
bin10010101010101110…
…10001110011111100
3221212110100102221001
421111113101303330
5131011124201340
64334252220044
7503233306036
oct112527216374
927773312831
1010022100220
11428323a260
121b3846a624
13c39457822
146b1076c56
153d9cc629a
hex2555d1cfc

10022100220 has 48 divisors (see below), whose sum is σ = 22966828416. Its totient is φ = 3643272000.

The previous prime is 10022100203. The next prime is 10022100223. The reversal of 10022100220 is 2200122001.

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 = 10022100197 and 10022100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022100223) 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 15 ways as a sum of consecutive naturals, for example, 1097875 + ... + 1106965.

It is an arithmetic number, because the mean of its divisors is an integer number (478475592).

Almost surely, 210022100220 is an apocalyptic number.

10022100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022100220 is an abundant number, since it is smaller than the sum of its proper divisors (12944728196).

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

10022100220 is a wasteful number, since it uses less digits than its factorization.

10022100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14122 (or 14120 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10022100220 its reverse (2200122001), we get a palindrome (12222222221).

The spelling of 10022100220 in words is "ten billion, twenty-two million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 5011 9091 10022 18182 20044 25055 36364 45455 50110 55121 90910 100001 100220 110242 181820 200002 220484 275605 400004 500005 551210 1000010 1102420 2000020 45555001 91110002 182220004 227775005 455550010 501105011 911100020 1002210022 2004420044 2505525055 5011050110 10022100220