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112233112020 = 22325623517289
BaseRepresentation
bin110100010000110011…
…1010110000111010100
3101201200201101211011200
41220201213112013110
53314323134041040
6123320441032500
711052145466061
oct1504147260724
9351621354150
10112233112020
1143663736237
1219902785730
13a778052b73
1456099ddc68
152dbd1a5630
hex1a219d61d4

112233112020 has 36 divisors (see below), whose sum is σ = 340440440340. Its totient is φ = 29928829824.

The previous prime is 112233112007. The next prime is 112233112037. The reversal of 112233112020 is 20211332211.

It can be written as a sum of positive squares in 2 ways, for example, as 29830816656 + 82402295364 = 172716^2 + 287058^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 112233111984 and 112233112002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 311758465 + ... + 311758824.

Almost surely, 2112233112020 is an apocalyptic number.

112233112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112233112020 is an abundant number, since it is smaller than the sum of its proper divisors (228207328320).

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

112233112020 is a wasteful number, since it uses less digits than its factorization.

112233112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623517304 (or 623517299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112233112020 its reverse (20211332211), we get a palindrome (132444444231).

The spelling of 112233112020 in words is "one hundred twelve billion, two hundred thirty-three million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 623517289 1247034578 1870551867 2494069156 3117586445 3741103734 5611655601 6235172890 7482207468 9352759335 11223311202 12470345780 18705518670 22446622404 28058278005 37411037340 56116556010 112233112020