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111301412101 = 1123785729009
BaseRepresentation
bin110011110101000010…
…1001100010100000101
3101122021210020120011021
41213222011030110011
53310421130141401
6123044155311141
711020103251555
oct1475205142405
9348253216137
10111301412101
1143225822300
12196a274b4b1
13a65a00a839
14555bd91165
152d664b62a1
hex19ea14c505

111301412101 has 24 divisors (see below), whose sum is σ = 125796991320. Its totient is φ = 98330158080.

The previous prime is 111301412081. The next prime is 111301412111. The reversal of 111301412101 is 101214103111.

It can be written as a sum of positive squares in 4 ways, for example, as 42127152001 + 69174260100 = 205249^2 + 263010^2 .

It is not a de Polignac number, because 111301412101 - 213 = 111301403909 is a prime.

It is a super-3 number, since 3×1113014121013 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111301412111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3822285 + ... + 3851293.

It is an arithmetic number, because the mean of its divisors is an integer number (5241541305).

Almost surely, 2111301412101 is an apocalyptic number.

111301412101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111301412101 is a deficient number, since it is larger than the sum of its proper divisors (14495579219).

111301412101 is a wasteful number, since it uses less digits than its factorization.

111301412101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29925 (or 29914 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 111301412101 its reverse (101214103111), we get a palindrome (212515515212).

The spelling of 111301412101 in words is "one hundred eleven billion, three hundred one million, four hundred twelve thousand, one hundred one".

Divisors: 1 11 37 121 407 857 4477 9427 29009 31709 103697 319099 348799 1073333 3510089 3836789 11806663 24860713 129873293 273467843 919846381 3008146273 10118310191 111301412101