Search a number
-
+
111201100021 = 1197251415213
BaseRepresentation
bin110011110010000011…
…0100010000011110101
3101122000210111011212001
41213210012202003311
53310214440200041
6123030213255301
711014444516534
oct1474406420365
9348023434761
10111201100021
1143184138360
1219675034531
13a6422b7c8b
14554c91c31b
152d5c79e131
hex19e41a20f5

111201100021 has 16 divisors (see below), whose sum is σ = 123049499328. Its totient is φ = 99650880000.

The previous prime is 111201100001. The next prime is 111201100081. The reversal of 111201100021 is 120001102111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111201100021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111201099980 and 111201100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111201100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60211 + ... + 475423.

It is an arithmetic number, because the mean of its divisors is an integer number (7690593708).

Almost surely, 2111201100021 is an apocalyptic number.

111201100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111201100021 is a deficient number, since it is larger than the sum of its proper divisors (11848399307).

111201100021 is a wasteful number, since it uses less digits than its factorization.

111201100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415572.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111201100021 its reverse (120001102111), we get a palindrome (231202202132).

The spelling of 111201100021 in words is "one hundred eleven billion, two hundred one million, one hundred thousand, twenty-one".

Divisors: 1 11 97 251 1067 2761 24347 267817 415213 4567343 40275661 104218463 443032271 1146403093 10109190911 111201100021