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222003013034121 = 311172192353267909
BaseRepresentation
bin110010011110100100011010…
…101110110010000010001001
31002010001021120200111101222120
4302132210122232302002021
5213044244132314042441
62104054435400241453
764522121422244514
oct6236443256620211
91063037520441876
10222003013034121
1164811a49284310
1220a95807a70289
1396b4a431030b7
143cb700896bd7b
151a9ec1b6bd966
hexc9e91abb2089

222003013034121 has 96 divisors (see below), whose sum is σ = 376778842444800. Its totient is φ = 114751858129920.

The previous prime is 222003013034063. The next prime is 222003013034137. The reversal of 222003013034121 is 121430310300222.

It is not a de Polignac number, because 222003013034121 - 29 = 222003013033609 is a prime.

It is a super-2 number, since 2×2220030130341212 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 222003013034091 and 222003013034100.

It is not an unprimeable number, because it can be changed into a prime (222003013034321) 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, 22466286 + ... + 30801623.

It is an arithmetic number, because the mean of its divisors is an integer number (3924779608800).

Almost surely, 2222003013034121 is an apocalyptic number.

It is an amenable number.

222003013034121 is a deficient number, since it is larger than the sum of its proper divisors (154775829410679).

222003013034121 is a wasteful number, since it uses less digits than its factorization.

222003013034121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53267999 (or 53267982 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 222003013034121 its reverse (121430310300222), we get a palindrome (343433323334343).

The spelling of 222003013034121 in words is "two hundred twenty-two trillion, three billion, thirteen million, thirty-four thousand, one hundred twenty-one".

Divisors: 1 3 11 17 19 23 33 51 57 69 187 209 253 289 323 391 437 561 627 759 867 969 1173 1311 3179 3553 4301 4807 5491 6647 7429 9537 10659 12903 14421 16473 19941 22287 60401 73117 81719 126293 181203 219351 245157 378879 1389223 4167669 53267909 159803727 585946999 905554453 1012090271 1225161907 1757840997 2716663359 3036270813 3675485721 9961098983 11132992981 13476780977 15394425701 17205534607 20827752419 23278076233 29883296949 33398978943 40430342931 46183277103 51616603821 62483257257 69834228699 169338682711 189260880677 229105276609 256058838563 292494088319 354071791123 395727295961 508016048133 567782642031 687315829827 768176515689 877482264957 1062215373369 1187181887883 3217434971509 3894789702353 4353000255571 6727364031337 9652304914527 11684369107059 13059000766713 20182092094011 74001004344707 222003013034121