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100222000020 = 22325556788889
BaseRepresentation
bin101110101010110110…
…0100101101110010100
3100120200122101010000200
41131111230211232110
53120223313000040
6114012533140500
710145410641612
oct1352554455624
9316618333020
10100222000020
113955a784a9a
121751018a730
1395b27ca5bc
144bca72c6b2
15291898c630
hex1755b25b94

100222000020 has 36 divisors (see below), whose sum is σ = 304006733940. Its totient is φ = 26725866624.

The previous prime is 100222000019. The next prime is 100222000097. The reversal of 100222000020 is 20000222001.

It can be written as a sum of positive squares in 2 ways, for example, as 62909669124 + 37312330896 = 250818^2 + 193164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100221999966 and 100222000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278394265 + ... + 278394624.

Almost surely, 2100222000020 is an apocalyptic number.

100222000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222000020 is an abundant number, since it is smaller than the sum of its proper divisors (203784733920).

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

100222000020 is a wasteful number, since it uses less digits than its factorization.

100222000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556788904 (or 556788899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 100222000020 its reverse (20000222001), we get a palindrome (120222222021).

The spelling of 100222000020 in words is "one hundred billion, two hundred twenty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 556788889 1113577778 1670366667 2227155556 2783944445 3340733334 5011100001 5567888890 6681466668 8351833335 10022200002 11135777780 16703666670 20044400004 25055500005 33407333340 50111000010 100222000020