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111713220 = 223252921401
BaseRepresentation
bin1101010100010…
…01101111000100
321210012121201200
412222021233010
5212044310340
615030222500
72524355343
oct652115704
9253177650
10111713220
1158071883
12314b4a30
131a1b50c8
1410b9db5a
159c1a330
hex6a89bc4

111713220 has 72 divisors (see below), whose sum is σ = 350564760. Its totient is φ = 28761600.

The previous prime is 111713209. The next prime is 111713221. The reversal of 111713220 is 22317111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3594816 + 108118404 = 1896^2 + 10398^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 111713193 and 111713202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111713221) by changing a digit.

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, 5481 + ... + 15920.

It is an arithmetic number, because the mean of its divisors is an integer number (4868955).

Almost surely, 2111713220 is an apocalyptic number.

111713220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111713220 is an abundant number, since it is smaller than the sum of its proper divisors (238851540).

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

111713220 is a wasteful number, since it uses less digits than its factorization.

111713220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21445 (or 21440 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 111713220 is about 10569.4474784636. The cubic root of 111713220 is about 481.6166841624.

The spelling of 111713220 in words is "one hundred eleven million, seven hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 21401 42802 64203 85604 107005 128406 192609 214010 256812 321015 385218 428020 620629 642030 770436 963045 1241258 1284060 1861887 1926090 2482516 3103145 3723774 3852180 5585661 6206290 7447548 9309435 11171322 12412580 18618870 22342644 27928305 37237740 55856610 111713220