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112103202213 = 3213790919061
BaseRepresentation
bin110100001100111011…
…1110001110110100101
3101201100122221201102100
41220121313301312211
53314041404432323
6123255520402313
711046010332222
oct1503167616645
9351318851370
10112103202213
11435a7376062
1219887176399
13a757169462
1455d6664949
152db1a93943
hex1a19df1da5

112103202213 has 12 divisors (see below), whose sum is σ = 163108797228. Its totient is φ = 74189952960.

The previous prime is 112103202191. The next prime is 112103202217. The reversal of 112103202213 is 312202301211.

112103202213 is a `hidden beast` number, since 1 + 121 + 0 + 320 + 221 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92877438564 + 19225763649 = 304758^2 + 138657^2 .

It is not a de Polignac number, because 112103202213 - 218 = 112102940069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112103202217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45458298 + ... + 45460763.

It is an arithmetic number, because the mean of its divisors is an integer number (13592399769).

Almost surely, 2112103202213 is an apocalyptic number.

It is an amenable number.

112103202213 is a deficient number, since it is larger than the sum of its proper divisors (51005595015).

112103202213 is a wasteful number, since it uses less digits than its factorization.

112103202213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90919204 (or 90919201 counting only the distinct ones).

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

Adding to 112103202213 its reverse (312202301211), we get a palindrome (424305503424).

The spelling of 112103202213 in words is "one hundred twelve billion, one hundred three million, two hundred two thousand, two hundred thirteen".

Divisors: 1 3 9 137 411 1233 90919061 272757183 818271549 12455911357 37367734071 112103202213