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2122122210201 = 327431162167409
BaseRepresentation
bin11110111000011000010…
…101110010101110011001
321111212120100022220120100
4132320120111302232121
5234232101241211301
64302520043450013
7306214111110150
oct36703025625631
97455510286510
102122122210201
11748a94733934
122a3346526909
13125166314a06
14749d59c4597
153a304436286
hex1ee18572b99

2122122210201 has 48 divisors (see below), whose sum is σ = 3585016955520. Its totient is φ = 1184320811520.

The previous prime is 2122122210119. The next prime is 2122122210203. The reversal of 2122122210201 is 1020122212212.

It is a happy number.

2122122210201 is a `hidden beast` number, since 21 + 221 + 2 + 221 + 0 + 201 = 666.

It is not a de Polignac number, because 2122122210201 - 215 = 2122122177433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122122210203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31447585 + ... + 31514993.

It is an arithmetic number, because the mean of its divisors is an integer number (74687853240).

Almost surely, 22122122210201 is an apocalyptic number.

2122122210201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2122122210201 is a deficient number, since it is larger than the sum of its proper divisors (1462894745319).

2122122210201 is a wasteful number, since it uses less digits than its factorization.

2122122210201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79086 (or 79083 counting only the distinct ones).

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

Adding to 2122122210201 its reverse (1020122212212), we get a palindrome (3142244422413).

The spelling of 2122122210201 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred ten thousand, two hundred one".

Divisors: 1 3 7 9 21 43 63 129 301 387 903 2709 11621 34863 67409 81347 104589 202227 244041 471863 499703 606681 732123 1415589 1499109 2898587 3497921 4246767 4497327 8695761 10493763 20290109 26087283 31481289 60870327 182610981 783359989 2350079967 5483519923 7050239901 16450559769 33684479527 49351679307 101053438581 235791356689 303160315743 707374070067 2122122210201