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111020112090 = 23253733339373
BaseRepresentation
bin110011101100101010…
…0000111100011011010
3101121120011221001002100
41213121110013203122
53304332122041330
6123000230144230
711010116245116
oct1473124074332
9347504831070
10111020112090
11430a0a60458
12196244b2076
13a613959524
145532888746
152d4b94d060
hex19d95078da

111020112090 has 48 divisors (see below), whose sum is σ = 296453713608. Its totient is φ = 28805217408.

The previous prime is 111020112089. The next prime is 111020112113. The reversal of 111020112090 is 90211020111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 110623425201 + 396686889 = 332601^2 + 19917^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16666357 + ... + 16673016.

Almost surely, 2111020112090 is an apocalyptic number.

111020112090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111020112090 is an abundant number, since it is smaller than the sum of its proper divisors (185433601518).

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

111020112090 is a wasteful number, since it uses less digits than its factorization.

111020112090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33339423 (or 33339420 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 111020112090 in words is "one hundred eleven billion, twenty million, one hundred twelve thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 33339373 66678746 100018119 166696865 200036238 300054357 333393730 500090595 600108714 1000181190 1233556801 1500271785 2467113602 3000543570 3700670403 6167784005 7401340806 11102011209 12335568010 18503352015 22204022418 37006704030 55510056045 111020112090