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10100130130 = 2537131208379
BaseRepresentation
bin10010110100000001…
…11100000101010010
3222001220011202211201
421122000330011102
5131141113131010
64350120501414
7505201455346
oct113200740522
928056152751
1010100130130
114313295292
121b5a61a86a
13c4c67827c
146bb589626
153e1a8b23a
hex25a03c152

10100130130 has 32 divisors (see below), whose sum is σ = 18814213440. Its totient is φ = 3900836160.

The previous prime is 10100130127. The next prime is 10100130133. The reversal of 10100130130 is 3103100101.

It is an interprime number because it is at equal distance from previous prime (10100130127) and next prime (10100130133).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10100130133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55720 + ... + 152659.

It is an arithmetic number, because the mean of its divisors is an integer number (587944170).

Almost surely, 210100130130 is an apocalyptic number.

10100130130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100130130 is a deficient number, since it is larger than the sum of its proper divisors (8714083310).

10100130130 is a wasteful number, since it uses less digits than its factorization.

10100130130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208554.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10100130130 its reverse (3103100101), we get a palindrome (13203230231).

It can be divided in two parts, 101001 and 30130, that added together give a palindrome (131131).

The spelling of 10100130130 in words is "ten billion, one hundred million, one hundred thirty thousand, one hundred thirty".

Divisors: 1 2 5 10 37 74 131 185 262 370 655 1310 4847 9694 24235 48470 208379 416758 1041895 2083790 7710023 15420046 27297649 38550115 54595298 77100230 136488245 272976490 1010013013 2020026026 5050065065 10100130130