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2122122110202 = 23231101332911311
BaseRepresentation
bin11110111000011000010…
…101011010010011111010
321111212120100010211101200
4132320120111122103322
5234232101230011302
64302520041355030
7306214110212463
oct36703025322372
97455510124350
102122122110202
11748a94675796
122a3346498a76
131251662ab343
14749d5999d6a
153a30441681c
hex1ee1855a4fa

2122122110202 has 96 divisors (see below), whose sum is σ = 4795107932160. Its totient is φ = 677514240000.

The previous prime is 2122122110197. The next prime is 2122122110231. The reversal of 2122122110202 is 2020112212212.

It is a happy number.

2122122110202 is a `hidden beast` number, since 21 + 221 + 221 + 1 + 0 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187610127 + ... + 187621437.

It is an arithmetic number, because the mean of its divisors is an integer number (49949040960).

Almost surely, 22122122110202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122122110202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397553966080).

2122122110202 is an abundant number, since it is smaller than the sum of its proper divisors (2672985821958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2122122110202 is a wasteful number, since it uses less digits than its factorization.

2122122110202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14780 (or 14777 counting only the distinct ones).

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

Adding to 2122122110202 its reverse (2020112212212), we get a palindrome (4142234322414).

The spelling of 2122122110202 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred ten thousand, two hundred two".

Divisors: 1 2 3 6 9 18 31 62 93 101 186 202 279 303 558 606 909 1818 3131 3329 6262 6658 9393 9987 11311 18786 19974 22622 28179 29961 33933 56358 59922 67866 101799 103199 203598 206398 309597 336229 350641 619194 672458 701282 928791 1008687 1051923 1142411 1857582 2017374 2103846 2284822 3026061 3155769 3427233 6052122 6311538 6854466 10281699 10423099 20563398 20846198 31269297 35414741 37654319 62538594 70829482 75308638 93807891 106244223 112962957 187615782 212488446 225925914 318732669 338888871 637465338 677777742 1167283889 2334567778 3501851667 3803086219 7003703334 7606172438 10505555001 11409258657 21011110002 22818517314 34227775971 68455551942 117895672789 235791345578 353687018367 707374036734 1061061055101 2122122110202