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112311200322 = 2339782326053
BaseRepresentation
bin110100010011001000…
…1001110101001000010
3101201220011100010012000
41220212101032221002
53320003131402242
6123332310444430
711054114310546
oct1504621165102
9351804303160
10112311200322
11436a3821122
1219924963716
13a78b294069
145616129a26
152dc4e7ca4c
hex1a2644ea42

112311200322 has 64 divisors (see below), whose sum is σ = 252469512960. Its totient is φ = 37004677632.

The previous prime is 112311200279. The next prime is 112311200363. The reversal of 112311200322 is 223002113211.

112311200322 is a `hidden beast` number, since 1 + 12 + 311 + 20 + 0 + 322 = 666.

It is a super-2 number, since 2×1123112003222 (a number of 23 digits) contains 22 as substring.

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 = 112311200295 and 112311200304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4297848 + ... + 4323900.

It is an arithmetic number, because the mean of its divisors is an integer number (3944836140).

Almost surely, 2112311200322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112311200322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126234756480).

112311200322 is an abundant number, since it is smaller than the sum of its proper divisors (140158312638).

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

112311200322 is a wasteful number, since it uses less digits than its factorization.

112311200322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26984 (or 26978 counting only the distinct ones).

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

Adding to 112311200322 its reverse (223002113211), we get a palindrome (335313313533).

The spelling of 112311200322 in words is "one hundred twelve billion, three hundred eleven million, two hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 823 873 1646 1746 2469 2619 4938 5238 7407 14814 22221 26053 44442 52106 78159 79831 156318 159662 234477 239493 468954 478986 703431 718479 1406862 1436958 2155437 2527141 4310874 5054282 7581423 15162846 21441619 22744269 42883238 45488538 64324857 68232807 128649714 136465614 192974571 385949142 578923713 1157847426 2079837043 4159674086 6239511129 12479022258 18718533387 37437066774 56155600161 112311200322