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112132030221 = 32101157785717
BaseRepresentation
bin110100001101110010…
…1101111111100001101
3101201102200012100000100
41220123211233330031
53314121244431341
6123302430321313
711046510350001
oct1503345577415
9351380170010
10112132030221
1143611675a62
1219894959239
13a760120b53
1455da40a701
152db438a3b6
hex1a1b96ff0d

112132030221 has 24 divisors (see below), whose sum is σ = 164614206744. Its totient is φ = 73543017600.

The previous prime is 112132030177. The next prime is 112132030223. The reversal of 112132030221 is 122030231211.

112132030221 is a `hidden beast` number, since 1 + 1 + 21 + 320 + 302 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40340722500 + 71791307721 = 200850^2 + 267939^2 .

It is not a de Polignac number, because 112132030221 - 223 = 112123641613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112132030194 and 112132030203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112132030223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250146 + ... + 535571.

It is an arithmetic number, because the mean of its divisors is an integer number (6858925281).

Almost surely, 2112132030221 is an apocalyptic number.

It is an amenable number.

112132030221 is a deficient number, since it is larger than the sum of its proper divisors (52482176523).

112132030221 is a wasteful number, since it uses less digits than its factorization.

112132030221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785981 (or 785978 counting only the distinct ones).

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

Adding to 112132030221 its reverse (122030231211), we get a palindrome (234162261432).

The spelling of 112132030221 in words is "one hundred twelve billion, one hundred thirty-two million, thirty thousand, two hundred twenty-one".

Divisors: 1 3 9 101 157 303 471 909 1413 15857 47571 142713 785717 2357151 7071453 79357417 123357569 238072251 370072707 714216753 1110218121 12459114469 37377343407 112132030221