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112213404002224 = 24719146989358747
BaseRepresentation
bin11001100000111010111000…
…000101011010011110110000
3112201022111102001200011220101
4121200322320011122132300
5104202001022411032344
61034354043125122144
732431102521230410
oct3140727005323660
9481274361604811
10112213404002224
113283348a186468
1210703861b59354
134a7c8a8b39855
141d9d22cb64640
15ce8ddc7ba9d4
hex660eb815a7b0

112213404002224 has 80 divisors (see below), whose sum is σ = 261552547859200. Its totient is φ = 45559892489472.

The previous prime is 112213404002221. The next prime is 112213404002261. The reversal of 112213404002224 is 422200404312211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 112213404002192 and 112213404002201.

It is not an unprimeable number, because it can be changed into a prime (112213404002221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312613219 + ... + 312971965.

It is an arithmetic number, because the mean of its divisors is an integer number (3269406848240).

Almost surely, 2112213404002224 is an apocalyptic number.

112213404002224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112213404002224 is an abundant number, since it is smaller than the sum of its proper divisors (149339143856976).

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

112213404002224 is a wasteful number, since it uses less digits than its factorization.

112213404002224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505770 (or 505764 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 112213404002224 its reverse (422200404312211), we get a palindrome (534413808314435).

The spelling of 112213404002224 in words is "one hundred twelve trillion, two hundred thirteen billion, four hundred four million, two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 146989 293978 358747 587956 717494 1028923 1175912 1434988 2057846 2351824 2511229 2792791 2869976 4115692 5022458 5585582 5739952 6816193 8231384 10044916 11171164 13632386 16462768 19549537 20089832 22342328 27264772 39099074 40179664 44684656 47713351 54529544 78198148 95426702 109059088 156396296 190853404 312792592 381706808 763413616 52731862783 105463725566 210927451132 369123039481 421854902264 738246078962 843709804528 1001905392877 1476492157924 2003810785754 2952984315848 4007621571508 5905968631696 7013337750139 8015243143016 14026675500278 16030486286032 28053351000556 56106702001112 112213404002224