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10110220131 = 31119891031759
BaseRepresentation
bin10010110101001110…
…11011011101100011
3222002121011101201110
421122213123131203
5131201204021011
64351121034403
7505353311304
oct113247333543
928077141643
1010110220131
114318a57030
121b61a85a03
13c5179ba9b
146bca547ab
153e28d0ba6
hex25a9db763

10110220131 has 64 divisors (see below), whose sum is σ = 15814656000. Its totient is φ = 5680730880.

The previous prime is 10110220079. The next prime is 10110220139. The reversal of 10110220131 is 13102201101.

It is a de Polignac number, because none of the positive numbers 2k-10110220131 is a prime.

It is a super-2 number, since 2×101102201312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10110220139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5746830 + ... + 5748588.

It is an arithmetic number, because the mean of its divisors is an integer number (247104000).

Almost surely, 210110220131 is an apocalyptic number.

10110220131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10110220131 is a deficient number, since it is larger than the sum of its proper divisors (5704435869).

10110220131 is a wasteful number, since it uses less digits than its factorization.

10110220131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984.

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

Adding to 10110220131 its reverse (13102201101), we get a palindrome (23212421232).

The spelling of 10110220131 in words is "ten billion, one hundred ten million, two hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 11 19 33 57 89 103 209 267 309 627 979 1133 1691 1759 1957 2937 3399 5073 5277 5871 9167 18601 19349 21527 27501 33421 55803 58047 64581 100263 100837 156551 174173 181177 302511 367631 469653 522519 543531 1102893 1722061 1915903 1992947 2974469 3442363 5166183 5747709 5978841 8923407 10327089 16124753 32719159 37865993 48374259 98157477 113597979 177372283 306370307 532116849 919110921 3370073377 10110220131