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222122002200101 = 89181751109116829
BaseRepresentation
bin110010100000010011001111…
…000010011011011000100101
31002010110122201020121022212222
4302200103033002123120211
5213103221330030400401
62104225234503122125
764533533165414123
oct6240231702333045
91063418636538788
10222122002200101
1164858459595913
1220ab4895143345
1396c3026a58c13
143cbca95946913
151aa2d82a52c1b
hexca04cf09b625

222122002200101 has 32 divisors (see below), whose sum is σ = 226380227673600. Its totient is φ = 217909137600000.

The previous prime is 222122002200047. The next prime is 222122002200179. The reversal of 222122002200101 is 101002200221222.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 222122002200101 - 242 = 217723955688997 is a prime.

It is a super-2 number, since 2×2221220022001012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 222122002200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222122002208101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13198755755 + ... + 13198772583.

It is an arithmetic number, because the mean of its divisors is an integer number (7074382114800).

Almost surely, 2222122002200101 is an apocalyptic number.

It is an amenable number.

222122002200101 is a deficient number, since it is larger than the sum of its proper divisors (4258225473499).

222122002200101 is a wasteful number, since it uses less digits than its factorization.

222122002200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18941.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222122002200101 its reverse (101002200221222), we get a palindrome (323124202421323).

The spelling of 222122002200101 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, two million, two hundred thousand, one hundred one".

Divisors: 1 89 181 751 1091 16109 16829 66839 97099 135931 197471 819341 1497781 3046049 12097859 12638579 17574919 18360439 72921349 148300721 271098361 1124833531 1634079071 2287582799 3323239459 13198764169 13788689689 203594869111 295768311851 1227193382321 2495752833709 222122002200101