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10011033131 = 112293783929
BaseRepresentation
bin10010101001011010…
…00011111000101011
3221211200112011201212
421110231003320223
5131000311030011
64333215103335
7503040243341
oct112455037053
927750464655
1010011033131
114277a70400
121b34811b4b
13c37081358
146ad7d5991
153d8d3c08b
hex254b43e2b

10011033131 has 48 divisors (see below), whose sum is σ = 11844554400. Its totient is φ = 8437524480.

The previous prime is 10011033121. The next prime is 10011033173. The reversal of 10011033131 is 13133011001.

It is a happy number.

10011033131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011033131 - 210 = 10011032107 is a prime.

It is a super-2 number, since 2×100110331312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011033121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10775675 + ... + 10776603.

It is an arithmetic number, because the mean of its divisors is an integer number (246761550).

Almost surely, 210011033131 is an apocalyptic number.

10011033131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10011033131 is a deficient number, since it is larger than the sum of its proper divisors (1833521269).

10011033131 is a wasteful number, since it uses less digits than its factorization.

10011033131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10011033131 its reverse (13133011001), we get a palindrome (23144044132).

The spelling of 10011033131 in words is "ten billion, eleven million, thirty-three thousand, one hundred thirty-one".

Divisors: 1 11 29 37 83 121 319 407 913 929 1073 2407 3071 3509 4477 10043 10219 11803 26477 26941 33781 34373 77107 89059 112409 129833 291247 296351 371591 378103 848177 979649 996817 2236103 2852959 3259861 4159133 9329947 10776139 10964987 24597133 31382549 82735811 120614857 270568463 345208039 910093921 10011033131