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111422420 = 22517417993
BaseRepresentation
bin1101010010000…
…10101111010100
321202122211211022
412221002233110
5212011004140
615020100312
72522034464
oct651025724
9252584738
10111422420
115799334a
1231394698
131a112935
1410b25ba4
159bae0b5
hex6a42bd4

111422420 has 48 divisors (see below), whose sum is σ = 253825488. Its totient is φ = 40919040.

The previous prime is 111422411. The next prime is 111422431. The reversal of 111422420 is 24224111.

It can be written as a sum of positive squares in 8 ways, for example, as 20830096 + 90592324 = 4564^2 + 9518^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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 15 ways as a sum of consecutive naturals, for example, 9944 + ... + 17936.

It is an arithmetic number, because the mean of its divisors is an integer number (5288031).

Almost surely, 2111422420 is an apocalyptic number.

111422420 is a gapful number since it is divisible by the number (10) 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 111422420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126912744).

111422420 is an abundant number, since it is smaller than the sum of its proper divisors (142403068).

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

111422420 is a wasteful number, since it uses less digits than its factorization.

111422420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8060 (or 8058 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 111422420 is about 10555.6818822850. The cubic root of 111422420 is about 481.1984232127.

Adding to 111422420 its reverse (24224111), we get a palindrome (135646531).

The spelling of 111422420 in words is "one hundred eleven million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 3485 6970 7993 13940 15986 31972 39965 79930 135881 159860 271762 327713 543524 655426 679405 1310852 1358810 1638565 2717620 3277130 5571121 6554260 11142242 22284484 27855605 55711210 111422420