Search a number
-
+
111100210001 = 1183122999013
BaseRepresentation
bin110011101111000010…
…1101010101101010001
3101121202202122102202122
41213132011222231101
53310013123210001
6123012211024025
711012111126534
oct1473605525521
9347682572678
10111100210001
1143132199180
121964729b015
13a627422341
14553d378a1b
152d539c0b1b
hex19de16ab51

111100210001 has 16 divisors (see below), whose sum is σ = 122761517760. Its totient is φ = 99701123520.

The previous prime is 111100209989. The next prime is 111100210019. The reversal of 111100210001 is 100012001111.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 111100210001 - 218 = 111099947857 is a prime.

It is a super-4 number, since 4×1111002100014 (a number of 45 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111100210031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1072571 + ... + 1171583.

It is an arithmetic number, because the mean of its divisors is an integer number (7672594860).

Almost surely, 2111100210001 is an apocalyptic number.

111100210001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111100210001 is a deficient number, since it is larger than the sum of its proper divisors (11661307759).

111100210001 is a wasteful number, since it uses less digits than its factorization.

111100210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100336.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 111100210001 its reverse (100012001111), we get a palindrome (211112211112).

The spelling of 111100210001 in words is "one hundred eleven billion, one hundred million, two hundred ten thousand, one".

Divisors: 1 11 83 913 1229 13519 99013 102007 1089143 1122077 8218079 90398869 121686977 1338556747 10100019091 111100210001