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112111202217 = 37173109101009
BaseRepresentation
bin110100001101001011…
…0010010111110101001
3101201101020000011100210
41220122112102332221
53314100431432332
6123300404051333
711046135331650
oct1503226227651
9351336004323
10112111202217
114360093a633
1219889993b49
13a758a0a8a1
1455d7748197
152db2623ecc
hex1a1a592fa9

112111202217 has 32 divisors (see below), whose sum is σ = 180945273600. Its totient is φ = 60275109888.

The previous prime is 112111202213. The next prime is 112111202219. The reversal of 112111202217 is 712202111211.

It is not a de Polignac number, because 112111202217 - 22 = 112111202213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 112111202193 and 112111202202.

It is not an unprimeable number, because it can be changed into a prime (112111202213) 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, 1059409 + ... + 1160417.

It is an arithmetic number, because the mean of its divisors is an integer number (5654539800).

Almost surely, 2112111202217 is an apocalyptic number.

112111202217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

112111202217 is a deficient number, since it is larger than the sum of its proper divisors (68834071383).

112111202217 is a wasteful number, since it uses less digits than its factorization.

112111202217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104145.

The product of its (nonzero) digits is 112, while the sum is 21.

Adding to 112111202217 its reverse (712202111211), we get a palindrome (824313313428).

The spelling of 112111202217 in words is "one hundred twelve billion, one hundred eleven million, two hundred two thousand, two hundred seventeen".

Divisors: 1 3 7 17 21 51 119 357 3109 9327 21763 52853 65289 101009 158559 303027 369971 707063 1109913 1717153 2121189 5151459 12020071 36060213 314036981 942110943 2198258867 5338628677 6594776601 16015886031 37370400739 112111202217