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1111112112222 = 2327101166952313
BaseRepresentation
bin10000001010110011011…
…100010101100001011110
310221012222022110120000200
4100022303130111201132
5121201024200042342
62210234324404330
7143163252060120
oct20126334254136
93835868416020
101111112112222
11399246903412
1215b4112466a6
1380a14cc74c8
143bac71dd210
151dd812d894c
hex102b371585e

1111112112222 has 96 divisors (see below), whose sum is σ = 2780284029120. Its totient is φ = 314123097600.

The previous prime is 1111112112211. The next prime is 1111112112241. The reversal of 1111112112222 is 2222112111111.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1111112112195 and 1111112112204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21213538 + ... + 21265850.

It is an arithmetic number, because the mean of its divisors is an integer number (28961291970).

Almost surely, 21111112112222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111112112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390142014560).

1111112112222 is an abundant number, since it is smaller than the sum of its proper divisors (1669171916898).

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

1111112112222 is a wasteful number, since it uses less digits than its factorization.

1111112112222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54098 (or 54095 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 1111112112222 its reverse (2222112111111), we get a palindrome (3333224223333).

The spelling of 1111112112222 in words is "one trillion, one hundred eleven billion, one hundred twelve million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1669 1818 2121 3338 4242 5007 6363 10014 11683 12726 15021 23366 30042 35049 52313 70098 104626 105147 156939 168569 210294 313878 337138 366191 470817 505707 732382 941634 1011414 1098573 1179983 1517121 2197146 2359966 3034242 3295719 3539949 5283613 6591438 7079898 10567226 10619847 15850839 21239694 31701678 36985291 47552517 73970582 87310397 95105034 110955873 174620794 221911746 261931191 332867619 523862382 611172779 665735238 785793573 1222345558 1571587146 1833518337 3667036674 5500555011 8818350097 11001110022 17636700194 26455050291 52910100582 61728450679 79365150873 123456901358 158730301746 185185352037 370370704074 555556056111 1111112112222