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112121622009 = 33191199310909
BaseRepresentation
bin110100001101011111…
…0000010110111111001
3101201101221121112122000
41220122332002313321
53314111113401014
6123301415251213
711046323030235
oct1503276026771
9351357545560
10112121622009
1143606807131
1219891379b09
13a75ac18547
1455d8c9b5c5
152db34d1509
hex1a1af82df9

112121622009 has 32 divisors (see below), whose sum is σ = 167074867200. Its totient is φ = 74312277120.

The previous prime is 112121622001. The next prime is 112121622017. The reversal of 112121622009 is 900226121211.

112121622009 is a `hidden beast` number, since 1 + 12 + 1 + 21 + 622 + 0 + 0 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (112121622001) and next prime (112121622017).

It is not a de Polignac number, because 112121622009 - 23 = 112121622001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112121622001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10272447 + ... + 10283355.

It is an arithmetic number, because the mean of its divisors is an integer number (5221089600).

Almost surely, 2112121622009 is an apocalyptic number.

It is an amenable number.

112121622009 is a deficient number, since it is larger than the sum of its proper divisors (54953245191).

112121622009 is a wasteful number, since it uses less digits than its factorization.

112121622009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13102 (or 13096 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 112121622009 in words is "one hundred twelve billion, one hundred twenty-one million, six hundred twenty-two thousand, nine".

Divisors: 1 3 9 27 191 573 1719 1993 5157 5979 10909 17937 32727 53811 98181 294543 380663 1141989 2083619 3425967 6250857 10277901 18752571 21741637 56257713 65224911 195674733 587024199 4152652667 12457958001 37373874003 112121622009