Search a number
-
+
10221330431 = 1355710091399
BaseRepresentation
bin10011000010011110…
…10001111111111111
3222101100020101101202
421201033101333333
5131413130033211
64410130330115
7511202606114
oct114117217777
928340211352
1010221330431
114375746924
121b9312993b
13c6b802620
146cd6d890b
153ec52c53b
hex2613d1fff

10221330431 has 16 divisors (see below), whose sum is σ = 11046168000. Its totient is φ = 9402075648.

The previous prime is 10221330409. The next prime is 10221330439. The reversal of 10221330431 is 13403312201.

It is a cyclic number.

It is not a de Polignac number, because 10221330431 - 26 = 10221330367 is a prime.

It is a super-2 number, since 2×102213304312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221330439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7305470 + ... + 7306868.

It is an arithmetic number, because the mean of its divisors is an integer number (690385500).

Almost surely, 210221330431 is an apocalyptic number.

10221330431 is a deficient number, since it is larger than the sum of its proper divisors (824837569).

10221330431 is a wasteful number, since it uses less digits than its factorization.

10221330431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978.

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

Adding to 10221330431 its reverse (13403312201), we get a palindrome (23624642632).

The spelling of 10221330431 in words is "ten billion, two hundred twenty-one million, three hundred thirty thousand, four hundred thirty-one".

Divisors: 1 13 557 1009 1399 7241 13117 18187 562013 779243 1411591 7306169 10130159 18350683 786256187 10221330431