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12041102100 = 2235246386689
BaseRepresentation
bin10110011011011010…
…01010001100010100
31011002011110100211110
423031231022030110
5144130010231400
65310454335020
7604250451636
oct131555121424
934064410743
1012041102100
115119985255
12240065a470
13119b825bb1
1482327aa56
154a718de50
hex2cdb4a314

12041102100 has 72 divisors (see below), whose sum is σ = 34914570880. Its totient is φ = 3203988480.

The previous prime is 12041102089. The next prime is 12041102107. The reversal of 12041102100 is 120114021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12041102107) 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, 95556 + ... + 182244.

Almost surely, 212041102100 is an apocalyptic number.

12041102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12041102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17457285440).

12041102100 is an abundant number, since it is smaller than the sum of its proper divisors (22873468780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12041102100 is a wasteful number, since it uses less digits than its factorization.

12041102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87169 (or 87162 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12041102100 its reverse (120114021), we get a palindrome (12161216121).

The spelling of 12041102100 in words is "twelve billion, forty-one million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 463 926 1389 1852 2315 2778 4630 5556 6945 9260 11575 13890 23150 27780 34725 46300 69450 86689 138900 173378 260067 346756 433445 520134 866890 1040268 1300335 1733780 2167225 2600670 4334450 5201340 6501675 8668900 13003350 26006700 40137007 80274014 120411021 160548028 200685035 240822042 401370070 481644084 602055105 802740140 1003425175 1204110210 2006850350 2408220420 3010275525 4013700700 6020551050 12041102100