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100222002012012 = 22344963185749027
BaseRepresentation
bin10110110010011011000000…
…110101000001111101101100
3111010212010111122021020012220
4112302123000311001331230
5101114014130003341022
6553053204020155340
730052541432124666
oct2662330065017554
9433763448236186
10100222002012012
1129a2aa04398681
12b2a7841838b50
1343bcb8183cb2a
141aa6ab1039536
15b8c00e61d85c
hex5b26c0d41f6c

100222002012012 has 24 divisors (see below), whose sum is σ = 233856540259776. Its totient is φ = 33406590828048.

The previous prime is 100222002012007. The next prime is 100222002012029. The reversal of 100222002012012 is 210210200222001.

It is a junction number, because it is equal to n+sod(n) for n = 100222002011982 and 100222002012000.

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 7 ways as a sum of consecutive naturals, for example, 92334958 + ... + 93414069.

It is an arithmetic number, because the mean of its divisors is an integer number (9744022510824).

Almost surely, 2100222002012012 is an apocalyptic number.

100222002012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100222002012012 is an abundant number, since it is smaller than the sum of its proper divisors (133634538247764).

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

100222002012012 is a wasteful number, since it uses less digits than its factorization.

100222002012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185793997 (or 185793995 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100222002012012 its reverse (210210200222001), we get a palindrome (310432202234013).

The spelling of 100222002012012 in words is "one hundred trillion, two hundred twenty-two billion, two million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 44963 89926 134889 179852 269778 539556 185749027 371498054 557247081 742996108 1114494162 2228988324 8351833501001 16703667002002 25055500503003 33407334004004 50111001006006 100222002012012