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10241023331 = 711167796409
BaseRepresentation
bin10011000100110100…
…11001110101100011
3222102201021212222102
421202122121311203
5131433200221311
64412112401015
7511532155610
oct114232316543
928381255872
1010241023331
114385877450
121b9984616b
13c72909026
146d2183507
153ee11c43b
hex262699d63

10241023331 has 16 divisors (see below), whose sum is σ = 12844500480. Its totient is φ = 7932223680.

The previous prime is 10241023307. The next prime is 10241023349. The reversal of 10241023331 is 13332014201.

10241023331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10241023331 - 218 = 10240761187 is a prime.

It is a super-2 number, since 2×102410233312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10241023301) 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 15 ways as a sum of consecutive naturals, for example, 385346 + ... + 411063.

It is an arithmetic number, because the mean of its divisors is an integer number (802781280).

Almost surely, 210241023331 is an apocalyptic number.

10241023331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10241023331 is a deficient number, since it is larger than the sum of its proper divisors (2603477149).

10241023331 is a wasteful number, since it uses less digits than its factorization.

10241023331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796594.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10241023331 its reverse (13332014201), we get a palindrome (23573037532).

The spelling of 10241023331 in words is "ten billion, two hundred forty-one million, twenty-three thousand, three hundred thirty-one".

Divisors: 1 7 11 77 167 1169 1837 12859 796409 5574863 8760499 61323493 133000303 931002121 1463003333 10241023331