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112122032121 = 32117118188129
BaseRepresentation
bin110100001101011111…
…1100110111111111001
3101201101222101101012100
41220122333212333321
53314111220011441
6123301432134013
711046326356011
oct1503277467771
9351358341170
10112122032121
1143606a67270
1219891537309
13a75b030108
1455d8d66c41
152db3562cb6
hex1a1afe6ff9

112122032121 has 48 divisors (see below), whose sum is σ = 180157461120. Its totient is φ = 66624768000.

The previous prime is 112122032119. The next prime is 112122032123. The reversal of 112122032121 is 121230221211.

112122032121 is a `hidden beast` number, since 1 + 121 + 220 + 321 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (112122032119) and next prime (112122032123).

It is not a de Polignac number, because 112122032121 - 21 = 112122032119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112122032094 and 112122032103.

It is not an unprimeable number, because it can be changed into a prime (112122032123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1228185 + ... + 1316313.

It is an arithmetic number, because the mean of its divisors is an integer number (3753280440).

Almost surely, 2112122032121 is an apocalyptic number.

112122032121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112122032121 is a deficient number, since it is larger than the sum of its proper divisors (68035428999).

112122032121 is a wasteful number, since it uses less digits than its factorization.

112122032121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88398 (or 88395 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112122032121 its reverse (121230221211), we get a palindrome (233352253332).

The spelling of 112122032121 in words is "one hundred twelve billion, one hundred twenty-two million, thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 71 99 181 213 543 639 781 1629 1991 2343 5973 7029 12851 17919 38553 88129 115659 141361 264387 424083 793161 969419 1272249 2908257 6257159 8724771 15951349 18771477 47854047 56314431 68828749 143562141 175464839 206486247 526394517 619458741 1132545779 1579183551 3397637337 10192912011 12458003569 37374010707 112122032121