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22323103312313 = 23371091637147011
BaseRepresentation
bin1010001001101100000001…
…01001001010100110111001
32221001001211110012020210202
411010312000221022212321
510411220203421443223
6115251031520251545
74462535211251066
oct504660051124671
987031743166722
1022323103312313
1171271a1948661
12260644a170bb5
13c5c0a0c691bb
14572630351c6d
1528aa1d93d428
hex144d80a4a9b9

22323103312313 has 32 divisors (see below), whose sum is σ = 24157623409920. Its totient is φ = 20572123080960.

The previous prime is 22323103312309. The next prime is 22323103312331. The reversal of 22323103312313 is 31321330132322.

It is a cyclic number.

It is not a de Polignac number, because 22323103312313 - 22 = 22323103312309 is a prime.

It is a super-3 number, since 3×223231033123133 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22323103312303) 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, 151772978 + ... + 151919988.

It is an arithmetic number, because the mean of its divisors is an integer number (754925731560).

Almost surely, 222323103312313 is an apocalyptic number.

22323103312313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

22323103312313 is a deficient number, since it is larger than the sum of its proper divisors (1834520097607).

22323103312313 is a wasteful number, since it uses less digits than its factorization.

22323103312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148817.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 22323103312313 its reverse (31321330132322), we get a palindrome (53644433444635).

The spelling of 22323103312313 in words is "twenty-two trillion, three hundred twenty-three billion, one hundred three million, three hundred twelve thousand, three hundred thirteen".

Divisors: 1 23 37 109 851 1637 2507 4033 37651 60569 92759 147011 178433 1393087 3381253 4103959 5439407 6602021 16024199 125106361 151846483 240657007 368556577 592895363 5535111161 8904309259 13636593349 26231613763 204799112957 603327116549 970569709231 22323103312313