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100222111000212 = 22371137858624713
BaseRepresentation
bin10110110010011011000111…
…010100110010011010010100
3111010212010210020100101220220
4112302123013110302122110
5101114014340404001322
6553053222512154340
730052544224403565
oct2662330724623224
9433763706311826
10100222111000212
1129a2aa5a969073
12b2a78722389b0
1343bcb9b2ac7a6
141aa6ac16ca16c
15b8c018e9b55c
hex5b26c7532694

100222111000212 has 48 divisors (see below), whose sum is σ = 238876264432512. Its totient is φ = 32696429032960.

The previous prime is 100222111000211. The next prime is 100222111000237. The reversal of 100222111000212 is 212000111222001.

It is a junction number, because it is equal to n+sod(n) for n = 100222111000191 and 100222111000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222111000211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 429195633 + ... + 429429080.

It is an arithmetic number, because the mean of its divisors is an integer number (4976588842344).

Almost surely, 2100222111000212 is an apocalyptic number.

100222111000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100222111000212 is an abundant number, since it is smaller than the sum of its proper divisors (138654153432300).

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

100222111000212 is a wasteful number, since it uses less digits than its factorization.

100222111000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858624928 (or 858624926 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100222111000212 its reverse (212000111222001), we get a palindrome (312222222222213).

The spelling of 100222111000212 in words is "one hundred trillion, two hundred twenty-two billion, one hundred eleven million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 71 137 142 213 274 284 411 426 548 822 852 1644 9727 19454 29181 38908 58362 116724 858624713 1717249426 2575874139 3434498852 5151748278 10303496556 60962354623 117631585681 121924709246 182887063869 235263171362 243849418492 352894757043 365774127738 470526342724 705789514086 731548255476 1411579028172 8351842583351 16703685166702 25055527750053 33407370333404 50111055500106 100222111000212