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112131220221 = 32471282920663
BaseRepresentation
bin110100001101110001…
…0101010001011111101
3101201102121200011220100
41220123202222023331
53314121043021341
6123302401111313
711046500434326
oct1503342521375
9351377604810
10112131220221
1143611172439
1219894628539
13a75cbc9267
1455da27944d
152db427a3b6
hex1a1b8aa2fd

112131220221 has 24 divisors (see below), whose sum is σ = 165434330880. Its totient is φ = 73154389536.

The previous prime is 112131220213. The next prime is 112131220237. The reversal of 112131220221 is 122022131211.

112131220221 is a `hidden beast` number, since 11 + 213 + 1 + 220 + 221 = 666.

It is not a de Polignac number, because 112131220221 - 23 = 112131220213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112131220194 and 112131220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112131220241) 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, 5416336 + ... + 5436998.

It is an arithmetic number, because the mean of its divisors is an integer number (6893097120).

Almost surely, 2112131220221 is an apocalyptic number.

It is an amenable number.

112131220221 is a deficient number, since it is larger than the sum of its proper divisors (53303110659).

112131220221 is a wasteful number, since it uses less digits than its factorization.

112131220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33545 (or 33542 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112131220221 its reverse (122022131211), we get a palindrome (234153351432).

The spelling of 112131220221 in words is "one hundred twelve billion, one hundred thirty-one million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 47 141 423 12829 20663 38487 61989 115461 185967 602963 971161 1808889 2913483 5426667 8740449 265085627 795256881 2385770643 12459024469 37377073407 112131220221