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100022222110100 = 22521000222221101
BaseRepresentation
bin10110101111100000111101…
…000001001011110110010100
3111010011000211122010200112112
4112233200331001023312110
5101102231002330010400
6552421324031410152
730032236623023243
oct2657407501136624
9433130748120475
10100022222110100
1129963205897424
12b274b87983958
1343a7093cc3c14
141a9b15c28c95a
15b86c1a673835
hex5af83d04bd94

100022222110100 has 18 divisors (see below), whose sum is σ = 217048221979134. Its totient is φ = 40008888844000.

The previous prime is 100022222110081. The next prime is 100022222110103. The reversal of 100022222110100 is 1011222220001.

It can be written as a sum of positive squares in 3 ways, for example, as 231632363524 + 99790589746576 = 481282^2 + 9989524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022222110103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500111110451 + ... + 500111110650.

Almost surely, 2100022222110100 is an apocalyptic number.

100022222110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022222110100 is an abundant number, since it is smaller than the sum of its proper divisors (117025999869034).

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

100022222110100 is a wasteful number, since it uses less digits than its factorization.

100022222110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000222221115 (or 1000222221108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100022222110100 its reverse (1011222220001), we get a palindrome (101033444330101).

The spelling of 100022222110100 in words is "one hundred trillion, twenty-two billion, two hundred twenty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1000222221101 2000444442202 4000888884404 5001111105505 10002222211010 20004444422020 25005555527525 50011111055050 100022222110100