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112110212002122 = 232172988112261077
BaseRepresentation
bin11001011111011010110001…
…010111001011000101001010
3112200221122001102201102200200
4121133122301113023011022
5104143303203233031442
61034234415334313030
732420460364551225
oct3137326127130512
9480848042642620
10112110212002122
11327a3745a71454
12106a78631b8776
134a72c41c2c969
141d9823dbdc5bc
15ce639d21334c
hex65f6b15cb14a

112110212002122 has 48 divisors (see below), whose sum is σ = 257202644022792. Its totient is φ = 35170651284480.

The previous prime is 112110212002057. The next prime is 112110212002141. The reversal of 112110212002122 is 221200212011211.

It can be written as a sum of positive squares in 4 ways, for example, as 59615709496641 + 52494502505481 = 7721121^2 + 7245309^2 .

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 = 112110212002095 and 112110212002104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3013048 + ... + 15274124.

Almost surely, 2112110212002122 is an apocalyptic number.

112110212002122 is an abundant number, since it is smaller than the sum of its proper divisors (145092432020670).

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

112110212002122 is a wasteful number, since it uses less digits than its factorization.

112110212002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12290983 (or 12290980 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112110212002122 its reverse (221200212011211), we get a palindrome (333310424013333).

The spelling of 112110212002122 in words is "one hundred twelve trillion, one hundred ten billion, two hundred twelve million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 29881 59762 89643 179286 268929 507977 537858 1015954 1523931 3047862 4571793 9143586 12261077 24522154 36783231 73566462 110349693 208438309 220699386 416876618 625314927 1250629854 1875944781 3751889562 366373241837 732746483674 1099119725511 2198239451022 3297359176533 6228345111229 6594718353066 12456690222458 18685035333687 37370070667374 56055106001061 112110212002122