Search a number
-
+
112213310112 = 2532389629549
BaseRepresentation
bin110100010000001101…
…1110011101010100000
3101201122100010210001200
41220200123303222200
53314303101410422
6123314452401200
711051515253421
oct1504033635240
9351570123050
10112213310112
1143653540822
12198b8016200
13a773c0b967
145607127648
152dbb5932ac
hex1a206f3aa0

112213310112 has 36 divisors (see below), whose sum is σ = 319106601450. Its totient is φ = 37404436608.

The previous prime is 112213310093. The next prime is 112213310141. The reversal of 112213310112 is 211013312211.

112213310112 is a `hidden beast` number, since 1 + 1 + 221 + 331 + 0 + 112 = 666.

It can be written as a sum of positive squares in only one way, i.e., 109082236176 + 3131073936 = 330276^2 + 55956^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 194814487 + ... + 194815062.

Almost surely, 2112213310112 is an apocalyptic number.

112213310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112213310112 is an abundant number, since it is smaller than the sum of its proper divisors (206893291338).

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

112213310112 is a wasteful number, since it uses less digits than its factorization.

112213310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389629565 (or 389629554 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112213310112 its reverse (211013312211), we get a palindrome (323226622323).

The spelling of 112213310112 in words is "one hundred twelve billion, two hundred thirteen million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 389629549 779259098 1168888647 1558518196 2337777294 3117036392 3506665941 4675554588 6234072784 7013331882 9351109176 12468145568 14026663764 18702218352 28053327528 37404436704 56106655056 112213310112