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10101043131 = 319312613023
BaseRepresentation
bin10010110100001000…
…11010111110111011
3222001221220011020120
421122010122332323
5131141331340011
64350152224323
7505212310224
oct113204327673
928057804216
1010101043131
114313859233
121b5a99b0a3
13c4c9079ca
146bb74624b
153e1bbba06
hex25a11afbb

10101043131 has 48 divisors (see below), whose sum is σ = 14894046720. Its totient is φ = 6070593600.

The previous prime is 10101043091. The next prime is 10101043177. The reversal of 10101043131 is 13134010101.

It is not a de Polignac number, because 10101043131 - 26 = 10101043067 is a prime.

It is a super-2 number, since 2×101010431312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10101043131.

It is not an unprimeable number, because it can be changed into a prime (10101043231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3339886 + ... + 3342908.

It is an arithmetic number, because the mean of its divisors is an integer number (310292640).

Almost surely, 210101043131 is an apocalyptic number.

10101043131 is a deficient number, since it is larger than the sum of its proper divisors (4793003589).

10101043131 is a wasteful number, since it uses less digits than its factorization.

10101043131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10101043131 its reverse (13134010101), we get a palindrome (23235053232).

The spelling of 10101043131 in words is "ten billion, one hundred one million, forty-three thousand, one hundred thirty-one".

Divisors: 1 3 19 31 57 61 93 183 589 961 1159 1767 1891 2883 3023 3477 5673 9069 18259 35929 54777 57437 58621 93713 107787 172311 175863 184403 281139 553209 1113799 1780547 2905103 3341397 3503657 5341641 5716493 8715309 10510971 17149479 55196957 108613367 165590871 177211283 325840101 531633849 3367014377 10101043131