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100221121012 = 22235935951431
BaseRepresentation
bin101110101010110100…
…1001111000111110100
3100120200120201110020211
41131111221033013310
53120223101333022
6114012502235204
710145400321115
oct1352551170764
9316616643224
10100221121012
113955a234641
121750ba25b04
1395b258048c
144bca58020c
152918866e77
hex1755a4f1f4

100221121012 has 48 divisors (see below), whose sum is σ = 186636441600. Its totient is φ = 46987270880.

The previous prime is 100221120959. The next prime is 100221121057. The reversal of 100221121012 is 210121122001.

It is a junction number, because it is equal to n+sod(n) for n = 100221120983 and 100221121001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1922937 + ... + 1974367.

It is an arithmetic number, because the mean of its divisors is an integer number (3888259200).

Almost surely, 2100221121012 is an apocalyptic number.

It is an amenable number.

100221121012 is a deficient number, since it is larger than the sum of its proper divisors (86415320588).

100221121012 is a wasteful number, since it uses less digits than its factorization.

100221121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51876 (or 51874 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100221121012 its reverse (210121122001), we get a palindrome (310342243013).

The spelling of 100221121012 in words is "one hundred billion, two hundred twenty-one million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 4 23 46 59 92 118 236 359 718 1357 1436 2714 5428 8257 16514 21181 33028 42362 51431 84724 102862 205724 487163 974326 1182913 1948652 2365826 3034429 4731652 6068858 12137716 18463729 36927458 69791867 73854916 139583734 279167468 424665767 849331534 1089360011 1698663068 2178720022 4357440044 25055280253 50110560506 100221121012