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100130311333 = 1331248462311
BaseRepresentation
bin101110101000000111…
…0110100110010100101
3100120110020211211210101
41131100032310302211
53120031324430313
6113555500024101
710143215413633
oct1352016646245
9316406754711
10100130311333
1139512a4aa18
12174a5532031
139599806b40
144bbc4a2353
1529108ca5dd
hex17503b4ca5

100130311333 has 8 divisors (see below), whose sum is σ = 111311115776. Its totient is φ = 89446431600.

The previous prime is 100130311297. The next prime is 100130311349. The reversal of 100130311333 is 333113031001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100130311333 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100130311333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100130311363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124230753 + ... + 124231558.

It is an arithmetic number, because the mean of its divisors is an integer number (13913889472).

Almost surely, 2100130311333 is an apocalyptic number.

100130311333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100130311333 is a deficient number, since it is larger than the sum of its proper divisors (11180804443).

100130311333 is a wasteful number, since it uses less digits than its factorization.

100130311333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248462355.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 100130311333 its reverse (333113031001), we get a palindrome (433243342334).

The spelling of 100130311333 in words is "one hundred billion, one hundred thirty million, three hundred eleven thousand, three hundred thirty-three".

Divisors: 1 13 31 403 248462311 3230010043 7702331641 100130311333