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112111212212021 = 11237091050123789
BaseRepresentation
bin11001011111011011101100…
…111110101010111100110101
3112200221201122010210100201202
4121133123230332222330311
5104143312230311241041
61034235102504302245
732420524231315121
oct3137335476527465
9480851563710652
10112111212212021
11327a4109618a00
12106a7aa2171985
134a73071211539
141d982d69a2581
15ce640ae36a9b
hex65f6ecfaaf35

112111212212021 has 24 divisors (see below), whose sum is σ = 123279824249400. Its totient is φ = 101877819120000.

The previous prime is 112111212212003. The next prime is 112111212212081. The reversal of 112111212212021 is 120212212111211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13726699921 + 112097485512100 = 117161^2 + 10587610^2 .

It is not a de Polignac number, because 112111212212021 - 226 = 112111145103157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112111212211984 and 112111212212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111212212081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4712721395 + ... + 4712745183.

It is an arithmetic number, because the mean of its divisors is an integer number (5136659343725).

Almost surely, 2112111212212021 is an apocalyptic number.

112111212212021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112111212212021 is a deficient number, since it is larger than the sum of its proper divisors (11168612037379).

112111212212021 is a wasteful number, since it uses less digits than its factorization.

112111212212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38021 (or 38010 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 112111212212021 its reverse (120212212111211), we get a palindrome (232323424323232).

The spelling of 112111212212021 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred twelve million, two hundred twelve thousand, twenty-one".

Divisors: 1 11 121 3709 10501 23789 40799 115511 261679 448789 1270621 2878469 38948209 88233401 249808289 428430299 970567411 2747891179 4712733289 10676241521 30226802969 926538943901 10191928382911 112111212212021