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10021304381 = 111783645661
BaseRepresentation
bin10010101010101000…
…01111100000111101
3221212101212000020112
421111110033200331
5131010423220011
64334223155405
7503223452564
oct112524174075
927771760215
1010021304381
114282846340
121b38145b65
13c3923950a
146b0d0abdb
153d9bba58b
hex25550f83d

10021304381 has 16 divisors (see below), whose sum is σ = 11714891328. Its totient is φ = 8471059200.

The previous prime is 10021304341. The next prime is 10021304383. The reversal of 10021304381 is 18340312001.

10021304381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10021304381 is a prime.

It is a super-2 number, since 2×100213043812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021304383) 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, 307310 + ... + 338351.

It is an arithmetic number, because the mean of its divisors is an integer number (732180708).

Almost surely, 210021304381 is an apocalyptic number.

10021304381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021304381 is a deficient number, since it is larger than the sum of its proper divisors (1693586947).

10021304381 is a wasteful number, since it uses less digits than its factorization.

10021304381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645772.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10021304381 its reverse (18340312001), we get a palindrome (28361616382).

The spelling of 10021304381 in words is "ten billion, twenty-one million, three hundred four thousand, three hundred eighty-one".

Divisors: 1 11 17 83 187 913 1411 15521 645661 7102271 10976237 53589863 120738607 589488493 911027671 10021304381