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1111331412 = 2232176727103
BaseRepresentation
bin100001000111101…
…1001001001010100
32212110011111002200
41002033121021110
54234000101122
6302135404500
736353106162
oct10217311124
92773144080
101111331412
11520354814
12270223730
1314931a569
14a784c232
15678735ac
hex423d9254

1111331412 has 72 divisors (see below), whose sum is σ = 3018951936. Its totient is φ = 343436544.

The previous prime is 1111331387. The next prime is 1111331437. The reversal of 1111331412 is 2141331111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1111331387) and next prime (1111331437).

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27453 + ... + 54555.

It is an arithmetic number, because the mean of its divisors is an integer number (41929888).

Almost surely, 21111331412 is an apocalyptic number.

1111331412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111331412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509475968).

1111331412 is an abundant number, since it is smaller than the sum of its proper divisors (1907620524).

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

1111331412 is a wasteful number, since it uses less digits than its factorization.

1111331412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27197 (or 27192 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 1111331412 is about 33336.6376828858. The cubic root of 1111331412 is about 1035.8126167360.

Adding to 1111331412 its reverse (2141331111), we get a palindrome (3252662523).

The spelling of 1111331412 in words is "one billion, one hundred eleven million, three hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 67 68 102 134 153 201 204 268 306 402 603 612 804 1139 1206 2278 2412 3417 4556 6834 10251 13668 20502 27103 41004 54206 81309 108412 162618 243927 325236 460751 487854 921502 975708 1382253 1815901 1843004 2764506 3631802 4146759 5447703 5529012 7263604 8293518 10895406 16343109 16587036 21790812 30870317 32686218 61740634 65372436 92610951 123481268 185221902 277832853 370443804 555665706 1111331412