Search a number
-
+
111200122101 = 31722911339139
BaseRepresentation
bin110011110010000001…
…0110011010011110101
3101122000201122111101210
41213210002303103311
53310214212401401
6123030140312033
711014433304465
oct1474402632365
9348021574353
10111200122101
114318362a662
1219674842619
13a642034b23
14554c745ba5
152d5c6594d6
hex19e40b34f5

111200122101 has 48 divisors (see below), whose sum is σ = 164378606400. Its totient is φ = 66768801792.

The previous prime is 111200122087. The next prime is 111200122127. The reversal of 111200122101 is 101221002111.

It is not a de Polignac number, because 111200122101 - 25 = 111200122069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111200122001) 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 47 ways as a sum of consecutive naturals, for example, 2821590 + ... + 2860728.

It is an arithmetic number, because the mean of its divisors is an integer number (3424554300).

Almost surely, 2111200122101 is an apocalyptic number.

It is an amenable number.

111200122101 is a deficient number, since it is larger than the sum of its proper divisors (53178484299).

111200122101 is a wasteful number, since it uses less digits than its factorization.

111200122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39318 (or 39301 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111200122101 its reverse (101221002111), we get a palindrome (212421124212).

The spelling of 111200122101 in words is "one hundred eleven billion, two hundred million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 3 17 29 51 87 113 289 339 493 867 1479 1921 3277 5763 8381 9831 25143 32657 39139 55709 97971 117417 167127 665363 947053 1135031 1996089 2841159 3405093 4422707 11311171 13268121 19295527 33933513 57886581 75186019 128258503 225558057 328023959 384775509 984071877 1278162323 2180394551 3834486969 6541183653 37066707367 111200122101