Search a number
-
+
22120012002100 = 2252834897354419
BaseRepresentation
bin1010000011110001101110…
…11101010011001100110100
32220022122121200001201220111
411001320313131103030310
510344403241033031400
6115013443200512404
74442055342510625
oct501706735231464
986278550051814
1022120012002100
117059054120331
12259300b31b704
13c45ba63753ac
14566885899a4c
152855d3dda3ba
hex141e37753334

22120012002100 has 72 divisors (see below), whose sum is σ = 48580629078240. Its totient is φ = 8741063210880.

The previous prime is 22120012002097. The next prime is 22120012002161. The reversal of 22120012002100 is 120021002122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406448691 + ... + 406503109.

It is an arithmetic number, because the mean of its divisors is an integer number (674730959420).

Almost surely, 222120012002100 is an apocalyptic number.

22120012002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120012002100 is an abundant number, since it is smaller than the sum of its proper divisors (26460617076140).

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

22120012002100 is a wasteful number, since it uses less digits than its factorization.

22120012002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103489 (or 103482 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22120012002100 its reverse (120021002122), we get a palindrome (22240033004222).

The spelling of 22120012002100 in words is "twenty-two trillion, one hundred twenty billion, twelve million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 4150 8300 48973 54419 97946 108838 195892 217676 244865 272095 489730 544190 979460 1088380 1224325 1360475 2448650 2720950 4064759 4516777 4897300 5441900 8129518 9033554 16259036 18067108 20323795 22583885 40647590 45167770 81295180 90335540 101618975 112919425 203237950 225838850 406475900 451677700 2665061687 5330123374 10660246748 13325308435 26650616870 53301233740 66626542175 133253084350 221200120021 266506168700 442400240042 884800480084 1106000600105 2212001200210 4424002400420 5530003000525 11060006001050 22120012002100