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100022000100200 = 2352500110000501
BaseRepresentation
bin10110101111100000101111…
…110010010010001101101000
3111010011000021011101102012122
4112233200233302102031220
5101102230024011201300
6552421250021130412
730032231255666123
oct2657405762221550
9433130234342178
10100022000100200
1129963101541072
12b274b25559a08
1343a705a001709
141a9b13a9bb3ba
15b86c05e1cc85
hex5af82fc92368

100022000100200 has 24 divisors (see below), whose sum is σ = 232551150233430. Its totient is φ = 40008800040000.

The previous prime is 100022000100167. The next prime is 100022000100227. The reversal of 100022000100200 is 2001000220001.

It can be written as a sum of positive squares in 3 ways, for example, as 65190025033156 + 34831975067044 = 8074034^2 + 5901862^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250055000051 + ... + 250055000450.

Almost surely, 2100022000100200 is an apocalyptic number.

100022000100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022000100200 is an abundant number, since it is smaller than the sum of its proper divisors (132529150133230).

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

100022000100200 is a wasteful number, since it uses less digits than its factorization.

100022000100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500110000517 (or 500110000508 counting only the distinct ones).

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

Adding to 100022000100200 its reverse (2001000220001), we get a palindrome (102023000320201).

The spelling of 100022000100200 in words is "one hundred trillion, twenty-two billion, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 500110000501 1000220001002 2000440002004 2500550002505 4000880004008 5001100005010 10002200010020 12502750012525 20004400020040 25005500025050 50011000050100 100022000100200