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112022123311 = 7316118114673
BaseRepresentation
bin110100001010100001…
…0011111001100101111
3101201011000101111002001
41220111002133030233
53313410130421221
6123243502513131
711044004223460
oct1502502371457
9351130344061
10112022123311
11435656282aa
1219863b957a7
13a74341bc87
1455c999ad67
152da98ca391
hex1a1509f32f

112022123311 has 32 divisors (see below), whose sum is σ = 134424539136. Its totient is φ = 91328256000.

The previous prime is 112022123303. The next prime is 112022123329. The reversal of 112022123311 is 113321220211.

It is a cyclic number.

It is not a de Polignac number, because 112022123311 - 23 = 112022123303 is a prime.

It is a super-2 number, since 2×1120221233112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112022129311) 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, 23969871 + ... + 23974543.

It is an arithmetic number, because the mean of its divisors is an integer number (4200766848).

Almost surely, 2112022123311 is an apocalyptic number.

112022123311 is a deficient number, since it is larger than the sum of its proper divisors (22402415825).

112022123311 is a wasteful number, since it uses less digits than its factorization.

112022123311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6583.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 112022123311 its reverse (113321220211), we get a palindrome (225343343522).

The spelling of 112022123311 in words is "one hundred twelve billion, twenty-two million, one hundred twenty-three thousand, three hundred eleven".

Divisors: 1 7 31 61 217 427 1811 1891 4673 12677 13237 32711 56141 110471 144863 285053 392987 773297 1014041 1995371 3424601 8462803 8836643 23972207 59239621 61856501 262346893 516230983 1836428251 3613616881 16003160473 112022123311