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1122102210222 = 232717717378271
BaseRepresentation
bin10000010101000010100…
…000001110111010101110
310222021100020021101021100
4100111002200032322232
5121341031131211342
62215253040343530
7144032511262140
oct20250240167256
93867306241240
101122102210222
113a2976498734
12161579914ba6
1381a76b65a86
143c44aa52c90
151e2c606de4c
hex1054280eeae

1122102210222 has 96 divisors (see below), whose sum is σ = 2983419039744. Its totient is φ = 297491846400.

The previous prime is 1122102210209. The next prime is 1122102210223. The reversal of 1122102210222 is 2220122012211.

It is a happy number.

1122102210222 is a `hidden beast` number, since 1 + 1 + 221 + 0 + 221 + 0 + 222 = 666.

It is a super-2 number, since 2×11221022102222 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1122102210195 and 1122102210204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122102210223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3537054 + ... + 3841217.

It is an arithmetic number, because the mean of its divisors is an integer number (31077281664).

Almost surely, 21122102210222 is an apocalyptic number.

1122102210222 is an abundant number, since it is smaller than the sum of its proper divisors (1861316829522).

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

1122102210222 is a wasteful number, since it uses less digits than its factorization.

1122102210222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378374 (or 7378371 counting only the distinct ones).

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

Adding to 1122102210222 its reverse (2220122012211), we get a palindrome (3342224222433).

The spelling of 1122102210222 in words is "one trillion, one hundred twenty-two billion, one hundred two million, two hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 71 102 119 126 142 153 213 238 306 357 426 497 639 714 994 1071 1207 1278 1491 2142 2414 2982 3621 4473 7242 8449 8946 10863 16898 21726 25347 50694 76041 152082 7378271 14756542 22134813 44269626 51647897 66404439 103295794 125430607 132808878 154943691 250861214 309887382 376291821 464831073 523857241 752583642 878014249 929662146 1047714482 1128875463 1571571723 1756028498 2257750926 2634042747 3143143446 3667000687 4714715169 5268085494 7334001374 7902128241 8905573097 9429430338 11001002061 15804256482 17811146194 22002004122 26716719291 33003006183 53433438582 62339011679 66006012366 80150157873 124678023358 160300315746 187017035037 374034070074 561051105111 1122102210222