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100021110200010 = 23251111345668889
BaseRepresentation
bin10110101111011111111010…
…101111100101011011001010
3111010010220222010212210122100
4112233133322233211123022
5101102221213202400020
6552421021431334230
730032200231653666
oct2657377257453312
9433126863783570
10100021110200010
112996279518796a
12b274917521376
1343a6c4783315c
141a9b09472d8a6
15b86ba2c38a90
hex5af7fabe56ca

100021110200010 has 24 divisors (see below), whose sum is σ = 260054886520260. Its totient is φ = 26672296053312.

The previous prime is 100021110200003. The next prime is 100021110200027. The reversal of 100021110200010 is 10002011120001.

It is a happy number.

100021110200010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 100020021002001 + 1089198009 = 10001001^2 + 33003^2 .

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 = 100021110199965 and 100021110200001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555672834355 + ... + 555672834534.

Almost surely, 2100021110200010 is an apocalyptic number.

100021110200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100021110200010 is an abundant number, since it is smaller than the sum of its proper divisors (160033776320250).

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

100021110200010 is a wasteful number, since it uses less digits than its factorization.

100021110200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111345668902 (or 1111345668899 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100021110200010 its reverse (10002011120001), we get a palindrome (110023121320011).

The spelling of 100021110200010 in words is "one hundred trillion, twenty-one billion, one hundred ten million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1111345668889 2222691337778 3334037006667 5556728344445 6668074013334 10002111020001 11113456688890 16670185033335 20004222040002 33340370066670 50010555100005 100021110200010