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10023304031 = 135925750849
BaseRepresentation
bin10010101010110111…
…10111101101011111
3221212112121121020122
421111123313231133
5131011431212111
64334334105155
7503246451506
oct112533675537
927775547218
1010023304031
114283991744
121b3894b1bb
13c39789740
146b12ab83d
153d9e62cdb
hex2556f7b5f

10023304031 has 16 divisors (see below), whose sum is σ = 11020212000. Its totient is φ = 9059893248.

The previous prime is 10023304013. The next prime is 10023304063. The reversal of 10023304031 is 13040332001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10023304031 - 210 = 10023303007 is a prime.

It is a super-2 number, since 2×100233040312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

10023304031 is a modest number, since divided by 304031 gives 10023 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023304231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171695 + ... + 222543.

It is an arithmetic number, because the mean of its divisors is an integer number (688763250).

Almost surely, 210023304031 is an apocalyptic number.

10023304031 is a deficient number, since it is larger than the sum of its proper divisors (996907969).

10023304031 is a wasteful number, since it uses less digits than its factorization.

10023304031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51178.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10023304031 its reverse (13040332001), we get a palindrome (23063636032).

It can be divided in two parts, 1002 and 3304031, that added together give a palindrome (3305033).

The spelling of 10023304031 in words is "ten billion, twenty-three million, three hundred four thousand, thirty-one".

Divisors: 1 13 59 257 767 3341 15163 50849 197119 661037 3000091 13068193 39001183 169886509 771023387 10023304031