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100222212201012 = 223211253086394447
BaseRepresentation
bin10110110010011011001101…
…010110110101101000110100
3111010212011001021202221022200
4112302123031112311220310
5101114020042310413022
6553053240525224500
730052546563526626
oct2662331526655064
9433764037687280
10100222212201012
1129a30001aaa7a0
12b2a78a0102130
1343bcbb6253a15
141aa6ad0d10c16
15b8c022cdbbac
hex5b26cd5b5a34

100222212201012 has 36 divisors (see below), whose sum is σ = 276370342737216. Its totient is φ = 30370367333520.

The previous prime is 100222212200909. The next prime is 100222212201019. The reversal of 100222212201012 is 210102212222001.

It is a happy number.

100222212201012 is a `hidden beast` number, since 100 + 22 + 221 + 220 + 101 + 2 = 666.

100222212201012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222212201019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126543196828 + ... + 126543197619.

Almost surely, 2100222212201012 is an apocalyptic number.

100222212201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100222212201012 is an abundant number, since it is smaller than the sum of its proper divisors (176148130536204).

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

100222212201012 is a wasteful number, since it uses less digits than its factorization.

100222212201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253086394468 (or 253086394463 counting only the distinct ones).

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

Adding to 100222212201012 its reverse (210102212222001), we get a palindrome (310324424423013).

The spelling of 100222212201012 in words is "one hundred trillion, two hundred twenty-two billion, two hundred twelve million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 253086394447 506172788894 759259183341 1012345577788 1518518366682 2277777550023 2783950338917 3037036733364 4555555100046 5567900677834 8351851016751 9111110200092 11135801355668 16703702033502 25055553050253 33407404067004 50111106100506 100222212201012