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222211201022001 = 32191578821938323
BaseRepresentation
bin110010100001100110010011…
…101100111011100000110001
31002010210011221122220222021100
4302201212103230323200301
5213111202014430201001
62104334225543315013
764543141466036352
oct6241462354734061
91063704848828240
10222211201022001
1164892271a40a44
1220b0a02974ba69
1396cb5708a4cc9
143cc311828dd29
151aa53538c3586
hexca1993b3b831

222211201022001 has 48 divisors (see below), whose sum is σ = 340055898994240. Its totient is φ = 139434048673920.

The previous prime is 222211201021891. The next prime is 222211201022029. The reversal of 222211201022001 is 100220102112222.

It is a happy number.

222211201022001 is a `hidden beast` number, since 22 + 221 + 1 + 201 + 0 + 220 + 0 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-222211201022001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (222211201022051) 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 47 ways as a sum of consecutive naturals, for example, 236348226 + ... + 237286548.

Almost surely, 2222211201022001 is an apocalyptic number.

It is an amenable number.

222211201022001 is a deficient number, since it is larger than the sum of its proper divisors (117844697972239).

222211201022001 is a wasteful number, since it uses less digits than its factorization.

222211201022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947326 (or 947323 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222211201022001 its reverse (100220102112222), we get a palindrome (322431303134223).

The spelling of 222211201022001 in words is "two hundred twenty-two trillion, two hundred eleven billion, two hundred one million, twenty-two thousand, one".

Divisors: 1 3 9 19 57 157 171 471 1413 2983 8821 8949 26463 26847 79389 167599 502797 938323 1384897 1508391 2814969 4154691 8444907 12464073 17828137 26313043 53484411 78939129 147316711 160453233 236817387 441950133 1325850399 2799017509 8276947183 8397052527 24830841549 25191157581 74492524647 157261996477 471785989431 1299480707731 1415357968293 3898442123193 11695326369579 24690133446889 74070400340667 222211201022001