Search a number
-
+
1112013112002 = 231323647958039
BaseRepresentation
bin10000001011101001001…
…001011000001011000010
310221022022002212002100220
4100023221021120023002
5121204400324041002
62210503552123510
7143224502331462
oct20135111301302
93838262762326
101112013112002
11399669458931
1215b622b36596
1380b29880c80
143bb70b39ba2
151ddd54617bc
hex102e92582c2

1112013112002 has 64 divisors (see below), whose sum is σ = 2503105597440. Its totient is φ = 326775265344.

The previous prime is 1112013111941. The next prime is 1112013112057. The reversal of 1112013112002 is 2002113102111.

It is a super-2 number, since 2×11120131120022 (a number of 25 digits) contains 22 as substring.

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, 681699 + ... + 1639737.

It is an arithmetic number, because the mean of its divisors is an integer number (39111024960).

Almost surely, 21112013112002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112013112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251552798720).

1112013112002 is an abundant number, since it is smaller than the sum of its proper divisors (1391092485438).

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

1112013112002 is a wasteful number, since it uses less digits than its factorization.

1112013112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958727.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1112013112002 its reverse (2002113102111), we get a palindrome (3114126214113).

The spelling of 1112013112002 in words is "one trillion, one hundred twelve billion, thirteen million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 647 897 1294 1794 1941 3882 8411 14881 16822 25233 29762 44643 50466 89286 193453 386906 580359 958039 1160718 1916078 2874117 5748234 12454507 22034897 24909014 37363521 44069794 66104691 74727042 132209382 286453661 572907322 619851233 859360983 1239702466 1718721966 1859553699 3719107398 8058066029 14256578359 16116132058 24174198087 28513156718 42769735077 48348396174 85539470154 185335518667 370671037334 556006556001 1112013112002