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10041412321 = 171493964237
BaseRepresentation
bin10010101101000001…
…11100101011100001
3221220210200121011001
421112200330223201
5131031100143241
64340222152001
7503556411403
oct112640745341
927823617131
1010041412321
11429312a776
121b42a22601
13c40459ac5
146b3862b73
153db83d431
hex25683cae1

10041412321 has 8 divisors (see below), whose sum is σ = 10703442600. Its totient is φ = 9387310848.

The previous prime is 10041412319. The next prime is 10041412343. The reversal of 10041412321 is 12321414001.

10041412321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 430355025 + 9611057296 = 20745^2 + 98036^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10041412321 - 21 = 10041412319 is a prime.

It is a super-2 number, since 2×100414123212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10041412621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1979586 + ... + 1984651.

It is an arithmetic number, because the mean of its divisors is an integer number (1337930325).

Almost surely, 210041412321 is an apocalyptic number.

It is an amenable number.

10041412321 is a deficient number, since it is larger than the sum of its proper divisors (662030279).

10041412321 is a wasteful number, since it uses less digits than its factorization.

10041412321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964403.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10041412321 its reverse (12321414001), we get a palindrome (22362826322).

The spelling of 10041412321 in words is "ten billion, forty-one million, four hundred twelve thousand, three hundred twenty-one".

Divisors: 1 17 149 2533 3964237 67392029 590671313 10041412321