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10030011441 = 3171973141793
BaseRepresentation
bin10010101011101010…
…11101010000110001
3221220000020101002020
421111311131100301
5131020140331231
64335133542053
7503360455602
oct112565352061
927800211066
1010030011441
11428775305a
121b3b044929
13c3ac97718
146b2135da9
153da83a396
hex255d5d431

10030011441 has 32 divisors (see below), whose sum is σ = 15109568640. Its totient is φ = 5880397824.

The previous prime is 10030011349. The next prime is 10030011449. The reversal of 10030011441 is 14411003001.

10030011441 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 10030011441 - 211 = 10030009393 is a prime.

It is a super-2 number, since 2×100300114412 (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 10030011441.

It is not an unprimeable number, because it can be changed into a prime (10030011449) 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, 160 + ... + 141633.

It is an arithmetic number, because the mean of its divisors is an integer number (472174020).

Almost surely, 210030011441 is an apocalyptic number.

It is an amenable number.

10030011441 is a deficient number, since it is larger than the sum of its proper divisors (5079557199).

10030011441 is a wasteful number, since it uses less digits than its factorization.

10030011441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141905.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10030011441 its reverse (14411003001), we get a palindrome (24441014442).

The spelling of 10030011441 in words is "ten billion, thirty million, eleven thousand, four hundred forty-one".

Divisors: 1 3 17 19 51 57 73 219 323 969 1241 1387 3723 4161 23579 70737 141793 425379 2410481 2694067 7231443 8082201 10350889 31052667 45799139 137397417 175965113 196666891 527895339 590000673 3343337147 10030011441