Search a number
-
+
22013203212113 = 233134988464349
BaseRepresentation
bin1010000000101010110010…
…01010000110011101010001
32212221102220222111000200212
411000111121022012131101
510341131020010241423
6114452420445453505
74431254461000511
oct500253112063521
985842828430625
1022013203212113
11701782436a573
122576381271295
13c38ab405a149
14561632453841
15282932056578
hex140559286751

22013203212113 has 16 divisors (see below), whose sum is σ = 23779217280000. Its totient is φ = 20318491448640.

The previous prime is 22013203212107. The next prime is 22013203212127. The reversal of 22013203212113 is 31121230231022.

It is not a de Polignac number, because 22013203212113 - 214 = 22013203195729 is a prime.

It is a super-2 number, since 2×220132032121132 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22013203212173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43983338 + ... + 44481011.

It is an arithmetic number, because the mean of its divisors is an integer number (1486201080000).

Almost surely, 222013203212113 is an apocalyptic number.

22013203212113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

22013203212113 is a deficient number, since it is larger than the sum of its proper divisors (1766014067887).

22013203212113 is a wasteful number, since it uses less digits than its factorization.

22013203212113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88464752.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 22013203212113 its reverse (31121230231022), we get a palindrome (53134433443135).

The spelling of 22013203212113 in words is "twenty-two trillion, thirteen billion, two hundred three million, two hundred twelve thousand, one hundred thirteen".

Divisors: 1 23 31 349 713 8027 10819 248837 88464349 2034680027 2742394819 30874057801 63075080837 710103329423 957095791831 22013203212113