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112224020321 = 7213737014517
BaseRepresentation
bin110100010000100010…
…0101010011101100001
3101201200002021220201002
41220201010222131201
53314313322122241
6123315514121345
711052005301500
oct1504104523541
9351602256632
10112224020321
1143659596536
12198bb720255
13a7761bb86a
145608714837
152dbc4ab89b
hex1a2112a761

112224020321 has 24 divisors (see below), whose sum is σ = 131563852776. Its totient is φ = 95442950400.

The previous prime is 112224020317. The next prime is 112224020327. The reversal of 112224020321 is 123020422211.

It can be written as a sum of positive squares in 4 ways, for example, as 79405921 + 112144614400 = 8911^2 + 334880^2 .

It is not a de Polignac number, because 112224020321 - 22 = 112224020317 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112224020293 and 112224020302.

It is not an unprimeable number, because it can be changed into a prime (112224020327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24842555 + ... + 24847071.

It is an arithmetic number, because the mean of its divisors is an integer number (5481827199).

Almost surely, 2112224020321 is an apocalyptic number.

It is an amenable number.

112224020321 is a deficient number, since it is larger than the sum of its proper divisors (19339832455).

112224020321 is a wasteful number, since it uses less digits than its factorization.

112224020321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8369 (or 8362 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 112224020321 its reverse (123020422211), we get a palindrome (235244442532).

The spelling of 112224020321 in words is "one hundred twelve billion, two hundred twenty-four million, twenty thousand, three hundred twenty-one".

Divisors: 1 7 49 137 959 3701 4517 6713 25907 31619 181349 221333 507037 618829 3549259 4331803 16717417 24844813 30322621 117021919 819153433 2290286129 16032002903 112224020321