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10031133441 = 37317573437
BaseRepresentation
bin10010101011110011…
…01111001100000001
3221220002100101011210
421111321233030001
5131020432232231
64335214000333
7503403141000
oct112571571401
927802311153
1010031133441
11428834a02a
121b3b4a60a9
13c3b29b324
146b2348c37
153da9aca46
hex255e6f301

10031133441 has 32 divisors (see below), whose sum is σ = 16515014400. Its totient is φ = 5394885888.

The previous prime is 10031133401. The next prime is 10031133461. The reversal of 10031133441 is 14433113001.

10031133441 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 10031133441 - 26 = 10031133377 is a prime.

It is a super-2 number, since 2×100311334412 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10031133401) 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 31 ways as a sum of consecutive naturals, for example, 269226 + ... + 304211.

It is an arithmetic number, because the mean of its divisors is an integer number (516094200).

Almost surely, 210031133441 is an apocalyptic number.

It is an amenable number.

10031133441 is a deficient number, since it is larger than the sum of its proper divisors (6483880959).

10031133441 is an equidigital number, since it uses as much as digits as its factorization.

10031133441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573478 (or 573464 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10031133441 its reverse (14433113001), we get a palindrome (24464246442).

The spelling of 10031133441 in words is "ten billion, thirty-one million, one hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 7 17 21 49 51 119 147 343 357 833 1029 2499 5831 17493 573437 1720311 4014059 9748429 12042177 28098413 29245287 68239003 84295239 196688891 204717009 477673021 590066673 1433019063 3343711147 10031133441