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100222210221102 = 232157200317705609
BaseRepresentation
bin10110110010011011001101…
…001111010010010000101110
3111010212011001011001100101200
4112302123031033102100232
5101114020041304033402
6553053240414550330
730052546540642404
oct2662331517222056
9433764034040350
10100222210221102
1129a30000978202
12b2a789b5083a6
1343bcbb5a0c788
141aa6ad0957474
15b8c022a4a21c
hex5b26cd3d242e

100222210221102 has 48 divisors (see below), whose sum is σ = 218640345515280. Its totient is φ = 33178043074176.

The previous prime is 100222210221097. The next prime is 100222210221113. The reversal of 100222210221102 is 201122012222001.

It is a happy number.

100222210221102 is a `hidden beast` number, since 1 + 0 + 0 + 222 + 210 + 221 + 10 + 2 = 666.

100222210221102 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3192327 + ... + 14513282.

It is an arithmetic number, because the mean of its divisors is an integer number (4555007198235).

Almost surely, 2100222210221102 is an apocalyptic number.

100222210221102 is an abundant number, since it is smaller than the sum of its proper divisors (118418135294178).

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

100222210221102 is a wasteful number, since it uses less digits than its factorization.

100222210221102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17707777 (or 17707774 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100222210221102 its reverse (201122012222001), we get a palindrome (301344222443103).

The spelling of 100222210221102 in words is "one hundred trillion, two hundred twenty-two billion, two hundred ten million, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 157 314 471 942 1413 2003 2826 4006 6009 12018 18027 36054 314471 628942 943413 1886826 2830239 5660478 17705609 35411218 53116827 106233654 159350481 318700962 2779780613 5559561226 8339341839 16678683678 25018025517 35464334827 50036051034 70928669654 106393004481 212786008962 319179013443 638358026886 5567900567839 11135801135678 16703701703517 33407403407034 50111105110551 100222210221102