Search a number
-
+
222002122211001 = 3211172314533947113
BaseRepresentation
bin110010011110100011100101…
…101000100011111010111001
31002010001012021121020220101200
4302132203211220203322321
5213044240321241223001
62104054211135004413
764522060354336536
oct6236434550437271
91063035247226350
10222002122211001
116481163144a760
1220a955b9669709
1396b49306a0722
143cb6d6251dd8d
151a9ebb83a6086
hexc9e8e5a23eb9

222002122211001 has 96 divisors (see below), whose sum is σ = 386769680324352. Its totient is φ = 121043083898880.

The previous prime is 222002122210993. The next prime is 222002122211081. The reversal of 222002122211001 is 100112221200222.

It is a happy number.

222002122211001 is a `hidden beast` number, since 2 + 220 + 0 + 212 + 221 + 10 + 0 + 1 = 666.

It is not a de Polignac number, because 222002122211001 - 23 = 222002122210993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (222002122211081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54270621 + ... + 58217733.

It is an arithmetic number, because the mean of its divisors is an integer number (4028850836712).

Almost surely, 2222002122211001 is an apocalyptic number.

It is an amenable number.

222002122211001 is a deficient number, since it is larger than the sum of its proper divisors (164767558113351).

222002122211001 is a wasteful number, since it uses less digits than its factorization.

222002122211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948623 (or 3948620 counting only the distinct ones).

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

Adding to 222002122211001 its reverse (100112221200222), we get a palindrome (322114343411223).

The spelling of 222002122211001 in words is "two hundred twenty-two trillion, two billion, one hundred twenty-two million, two hundred eleven thousand, one".

Divisors: 1 3 9 11 17 23 33 51 69 99 153 187 207 253 391 561 759 1173 1453 1683 2277 3519 4301 4359 12903 13077 15983 24701 33419 38709 47949 74103 100257 143847 222309 271711 300771 367609 568123 815133 1102827 1704369 2445399 3308481 3947113 5113107 6249353 11841339 18748059 35524017 43418243 56244177 67100921 90783599 130254729 201302763 272350797 390764187 603908289 738110131 817052391 998619589 1543321183 2214330393 2995858767 4629963549 5735155189 6642991179 8987576301 13889890647 16976533013 17205465567 50929599039 51616396701 63086707079 97497638213 131908569347 152788797117 189260121237 292492914639 395725708041 567780363711 877478743917 1072474020343 1187177124123 1450994262817 2242445678899 3217422061029 4352982788451 6727337036697 9652266183087 13058948365353 20182011110091 24666902467889 74000707403667 222002122211001