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100022220012 = 2231113557310459
BaseRepresentation
bin101110100100111001…
…0011111010011101100
3100120011201110020101010
41131021302133103230
53114321142020022
6113541035145220
710140433561611
oct1351162372354
9316151406333
10100022220012
1139467a32350
12174752a5210
1395802bc490
144babda6508
15290617850c
hex1749c9f4ec

100022220012 has 96 divisors (see below), whose sum is σ = 274262204160. Its totient is φ = 27970548480.

The previous prime is 100022219971. The next prime is 100022220043. The reversal of 100022220012 is 210022220001.

It is a super-2 number, since 2×1000222200122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 100022220012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9558039 + ... + 9568497.

It is an arithmetic number, because the mean of its divisors is an integer number (2856897960).

Almost surely, 2100022220012 is an apocalyptic number.

100022220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100022220012 is an abundant number, since it is smaller than the sum of its proper divisors (174239984148).

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

100022220012 is a wasteful number, since it uses less digits than its factorization.

100022220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16063 (or 16061 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100022220012 its reverse (210022220001), we get a palindrome (310044440013).

The spelling of 100022220012 in words is "one hundred billion, twenty-two million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 5573 10459 11146 16719 20918 22292 31377 33438 41836 61303 62754 66876 72449 115049 122606 125508 135967 144898 183909 217347 230098 245212 271934 289796 345147 367818 407901 434694 460196 543868 690294 735636 796939 815802 869388 1380588 1495637 1593878 1631604 2390817 2991274 3187756 4486911 4781634 5982548 8973822 9563268 17947644 58288007 116576014 174864021 233152028 349728042 641168077 699456084 757744091 1282336154 1515488182 1923504231 2273232273 2564672308 3030976364 3847008462 4546464546 7694016924 8335185001 9092929092 16670370002 25005555003 33340740004 50011110006 100022220012