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201211222112102 = 223412711597246511
BaseRepresentation
bin101101110000000000100011…
…011010110011011101100110
3222101102121100000201112022102
4231300000203122303131212
5202333121040330041402
61551535054230532102
760245013441354536
oct5560004332633546
9871377300645272
10201211222112102
1159126222353354
121a6980bb207032
1388371a17cb0b7
1437989647194c6
15183de74090102
hexb700236b3766

201211222112102 has 64 divisors (see below), whose sum is σ = 324015309692928. Its totient is φ = 93478958496000.

The previous prime is 201211222112083. The next prime is 201211222112231.

201211222112102 is nontrivially palindromic in base 10.

201211222112102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 816113027 + ... + 816359537.

It is an arithmetic number, because the mean of its divisors is an integer number (5062739213952).

Almost surely, 2201211222112102 is an apocalyptic number.

201211222112102 is a deficient number, since it is larger than the sum of its proper divisors (122804087580826).

201211222112102 is a wasteful number, since it uses less digits than its factorization.

201211222112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248445.

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 201211222112102 in words is "two hundred one trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 23 41 46 82 271 542 943 1597 1886 3194 6233 11111 12466 22222 36731 65477 73462 130954 246511 255553 432787 493022 511106 865574 1505971 3011942 5669753 9954101 10106951 11339506 17744267 19908202 20213902 35488534 66804481 133608962 232459873 393678067 408118141 464919746 787356134 816236282 1536503063 2738983721 3073006126 5477967442 9054595541 16140800747 18109191082 32281601494 62996625583 106686756157 125993251166 213373512314 371238417181 742476834362 2453795391611 4374157002437 4907590783222 8748314004874 100605611056051 201211222112102