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111412020 = 223512714621
BaseRepresentation
bin1101010010000…
…00001100110100
321202122022120010
412221000030310
5212010141040
615015540220
72521662246
oct651001464
9252568503
10111412020
1157986555
123138a670
131a10ac95
1410b22096
159baae80
hex6a40334

111412020 has 48 divisors (see below), whose sum is σ = 314431488. Its totient is φ = 29473920.

The previous prime is 111411983. The next prime is 111412027. The reversal of 111412020 is 20214111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111411987 and 111412005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111412027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310 + ... + 14930.

It is an arithmetic number, because the mean of its divisors is an integer number (6550656).

Almost surely, 2111412020 is an apocalyptic number.

111412020 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 111412020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157215744).

111412020 is an abundant number, since it is smaller than the sum of its proper divisors (203019468).

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

111412020 is a wasteful number, since it uses less digits than its factorization.

111412020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14760 (or 14758 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 111412020 is about 10555.1892451059. The cubic root of 111412020 is about 481.1834513027.

Adding to 111412020 its reverse (20214111), we get a palindrome (131626131).

The spelling of 111412020 in words is "one hundred eleven million, four hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 14621 29242 43863 58484 73105 87726 146210 175452 219315 292420 438630 877260 1856867 3713734 5570601 7427468 9284335 11141202 18568670 22282404 27853005 37137340 55706010 111412020