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21002220012 = 223731371391259
BaseRepresentation
bin10011100011110101…
…000111000111101100
32000012200101022122110
4103203311013013230
5321003032020022
613352010244020
71342311632064
oct234365070754
960180338573
1021002220012
1189a8229824
1240a1726610
131c99211427
1410334503a4
1582dc3a00c
hex4e3d471ec

21002220012 has 96 divisors (see below), whose sum is σ = 50439110400. Its totient is φ = 6799721472.

The previous prime is 21002219999. The next prime is 21002220013.

21002220012 is nontrivially palindromic in base 10.

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 21002220012.

It is not an unprimeable number, because it can be changed into a prime (21002220013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16681039 + ... + 16682297.

It is an arithmetic number, because the mean of its divisors is an integer number (525407400).

Almost surely, 221002220012 is an apocalyptic number.

It is an amenable number.

21002220012 is an abundant number, since it is smaller than the sum of its proper divisors (29436890388).

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

21002220012 is a wasteful number, since it uses less digits than its factorization.

21002220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1613 counting only the distinct ones).

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

The spelling of 21002220012 in words is "twenty-one billion, two million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 73 137 139 146 219 274 278 292 411 417 438 548 556 822 834 876 1259 1644 1668 2518 3777 5036 7554 10001 10147 15108 19043 20002 20294 30003 30441 38086 40004 40588 57129 60006 60882 76172 91907 114258 120012 121764 172483 175001 183814 228516 275721 344966 350002 367628 517449 525003 551442 689932 700004 1034898 1050006 1102884 1390139 2069796 2100012 2780278 4170417 5560556 8340834 12591259 12775073 16681668 23975137 25182518 25550146 37773777 38325219 47950274 50365036 51100292 71925411 75547554 76650438 95900548 143850822 151095108 153300876 287701644 1750185001 3500370002 5250555003 7000740004 10501110006 21002220012