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112112022001 = 734179100913
BaseRepresentation
bin110100001101001100…
…1011011000111110001
3101201101021112210220011
41220122121123013301
53314101134201001
6123300433414521
711046145315000
oct1503231330761
9351337483804
10112112022001
114360134a541
121988a10a441
13a758c36a75
1455d78bcc37
152db2736d51
hex1a1a65b1f1

112112022001 has 32 divisors (see below), whose sum is σ = 135628416000. Its totient is φ = 92564559360.

The previous prime is 112112021981. The next prime is 112112022019. The reversal of 112112022001 is 100220211211.

It is not a de Polignac number, because 112112022001 - 217 = 112111890929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112112022031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1060521 + ... + 1161433.

It is an arithmetic number, because the mean of its divisors is an integer number (4238388000).

Almost surely, 2112112022001 is an apocalyptic number.

It is an amenable number.

112112022001 is a deficient number, since it is larger than the sum of its proper divisors (23516393999).

112112022001 is an equidigital number, since it uses as much as digits as its factorization.

112112022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101054 (or 101040 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112112022001 its reverse (100220211211), we get a palindrome (212332233212).

The spelling of 112112022001 in words is "one hundred twelve billion, one hundred twelve million, twenty-two thousand, one".

Divisors: 1 7 41 49 79 287 343 553 2009 3239 3871 14063 22673 27097 100913 158711 706391 1110977 4137433 4944737 7972127 28962031 34613159 55804889 202734217 326857207 390634223 1419139519 2288000449 2734439561 16016003143 112112022001