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22200111031201 = 192974211505893
BaseRepresentation
bin1010000110000110111011…
…01110110110001110100001
32220121022100220112000021221
411003003131232312032201
510402211311410444301
6115114331253015041
74450622306152045
oct503033556661641
986538326460257
1022200111031201
11708a017a15444
1225a6644324481
13c505ccb70abc
1456a6c3852025
15287720e1ada1
hex1430ddbb63a1

22200111031201 has 24 divisors (see below), whose sum is σ = 23727823612584. Its totient is φ = 20765407380480.

The previous prime is 22200111031199. The next prime is 22200111031237. The reversal of 22200111031201 is 10213011100222.

It can be written as a sum of positive squares in 4 ways, for example, as 5223820176 + 22194887211025 = 72276^2 + 4711145^2 .

It is not a de Polignac number, because 22200111031201 - 21 = 22200111031199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22200111031001) by changing a digit.

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, 13989211 + ... + 15495103.

It is an arithmetic number, because the mean of its divisors is an integer number (988659317191).

Almost surely, 222200111031201 is an apocalyptic number.

It is an amenable number.

22200111031201 is a deficient number, since it is larger than the sum of its proper divisors (1527712581383).

22200111031201 is a wasteful number, since it uses less digits than its factorization.

22200111031201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506449 (or 1506430 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 22200111031201 its reverse (10213011100222), we get a palindrome (32413122131423).

The spelling of 22200111031201 in words is "twenty-two trillion, two hundred billion, one hundred eleven million, thirty-one thousand, two hundred one".

Divisors: 1 19 97 361 421 1843 7999 35017 40837 151981 775903 1505893 14742157 28611967 146071621 543627373 633980953 2775360799 12045638107 52731855181 61496152441 228867124033 1168426896379 22200111031201