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22124113222401 = 322909845044621
BaseRepresentation
bin1010000011111001010111…
…11010001101101100000001
32220100001012111020022111200
411001330223322031230001
510344440140441104101
6115015402144131413
74442262102351261
oct501745372155401
986301174208450
1022124113222401
11705a8691598a3
122593974906b69
13c463aac46b78
14566b5443b7a1
15285773ea6986
hex141f2be8db01

22124113222401 has 12 divisors (see below), whose sum is σ = 31968038050260. Its totient is φ = 14744338529760.

The previous prime is 22124113222373. The next prime is 22124113222429. The reversal of 22124113222401 is 10422231142122.

22124113222401 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 411 + 3 + 2 + 2 + 240 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (22124113222373) and next prime (22124113222429).

It can be written as a sum of positive squares in 2 ways, for example, as 17596984655376 + 4527128567025 = 4194876^2 + 2127705^2 .

It is not a de Polignac number, because 22124113222401 - 210 = 22124113221377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22124113222201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 422496130 + ... + 422548491.

It is an arithmetic number, because the mean of its divisors is an integer number (2664003170855).

Almost surely, 222124113222401 is an apocalyptic number.

It is an amenable number.

22124113222401 is a deficient number, since it is larger than the sum of its proper divisors (9843924827859).

22124113222401 is a wasteful number, since it uses less digits than its factorization.

22124113222401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845047536 (or 845047533 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 22124113222401 its reverse (10422231142122), we get a palindrome (32546344364523).

The spelling of 22124113222401 in words is "twenty-two trillion, one hundred twenty-four billion, one hundred thirteen million, two hundred twenty-two thousand, four hundred one".

Divisors: 1 3 9 2909 8727 26181 845044621 2535133863 7605401589 2458234802489 7374704407467 22124113222401