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11112212112 = 2431729469583
BaseRepresentation
bin10100101100101011…
…01110011010010000
31001200102120212022120
422112111232122100
5140224211241422
65034353134240
7542241146601
oct122625563220
931612525276
1011112212112
114792610481
1221a155a380
131081255851
14775b5dda8
1545085745c
hex29656e690

11112212112 has 80 divisors (see below), whose sum is σ = 31443344640. Its totient is φ = 3365963776.

The previous prime is 11112212101. The next prime is 11112212123. The reversal of 11112212112 is 21121221111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11112212101) and next prime (11112212123).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11112212091 and 11112212100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211128 + ... + 258455.

It is an arithmetic number, because the mean of its divisors is an integer number (393041808).

Almost surely, 211112212112 is an apocalyptic number.

11112212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11112212112 is an abundant number, since it is smaller than the sum of its proper divisors (20331132528).

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

11112212112 is a wasteful number, since it uses less digits than its factorization.

11112212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469640 (or 469634 counting only the distinct ones).

The product of its digits is 16, while the sum is 15.

Adding to 11112212112 its reverse (21121221111), we get a palindrome (32233433223).

The spelling of 11112212112 in words is "eleven billion, one hundred twelve million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 116 136 174 204 232 272 348 408 464 493 696 816 986 1392 1479 1972 2958 3944 5916 7888 11832 23664 469583 939166 1408749 1878332 2817498 3756664 5634996 7513328 7982911 11269992 13617907 15965822 22539984 23948733 27235814 31931644 40853721 47897466 54471628 63863288 81707442 95794932 108943256 127726576 163414884 191589864 217886512 231504419 326829768 383179728 463008838 653659536 694513257 926017676 1389026514 1852035352 2778053028 3704070704 5556106056 11112212112