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100022440164642 = 2325556802231369
BaseRepresentation
bin10110101111100001001010…
…000000111111110100100010
3111010011001101211110000010200
4112233201022000333310202
5101102231424140232032
6552421401421210030
730032245211324622
oct2657411200776442
9433131354400120
10100022440164642
1129963307990a96
12b275028a00916
1343a70ca22cc88
141a9b17d210882
15b86c2e89747c
hex5af84a03fd22

100022440164642 has 12 divisors (see below), whose sum is σ = 216715287023430. Its totient is φ = 33340813388208.

The previous prime is 100022440164629. The next prime is 100022440164709. The reversal of 100022440164642 is 246461044220001.

100022440164642 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 2 + 4 + 4 + 0 + 1 + 6 + 4 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66582809309241 + 33439630855401 = 8159829^2 + 5782701^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100022440164597 and 100022440164606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2778401115667 + ... + 2778401115702.

Almost surely, 2100022440164642 is an apocalyptic number.

100022440164642 is an abundant number, since it is smaller than the sum of its proper divisors (116692846858788).

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

100022440164642 is a wasteful number, since it uses less digits than its factorization.

100022440164642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556802231377 (or 5556802231374 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 100022440164642 its reverse (246461044220001), we get a palindrome (346483484384643).

The spelling of 100022440164642 in words is "one hundred trillion, twenty-two billion, four hundred forty million, one hundred sixty-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 5556802231369 11113604462738 16670406694107 33340813388214 50011220082321 100022440164642