Search a number
-
+
23013301314 = 23232272692731
BaseRepresentation
bin10101011011101100…
…110001110001000010
32012101211120211120010
4111123230301301002
5334112401120224
614323330525350
71443201555633
oct253354616102
965354524503
1023013301314
11983a454993
124563136856
132229a68573
14118459188a
158ea58ae29
hex55bb31c42

23013301314 has 64 divisors (see below), whose sum is σ = 48436392960. Its totient is φ = 7275428160.

The previous prime is 23013301273. The next prime is 23013301321. The reversal of 23013301314 is 41310331032.

It is a super-2 number, since 2×230133013142 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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, 8425329 + ... + 8428059.

It is an arithmetic number, because the mean of its divisors is an integer number (756818640).

Almost surely, 223013301314 is an apocalyptic number.

23013301314 is an abundant number, since it is smaller than the sum of its proper divisors (25423091646).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23013301314 is a wasteful number, since it uses less digits than its factorization.

23013301314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 23013301314 its reverse (41310331032), we get a palindrome (64323632346).

The spelling of 23013301314 in words is "twenty-three billion, thirteen million, three hundred one thousand, three hundred fourteen".

Divisors: 1 2 3 6 23 46 69 138 227 269 454 538 681 807 1362 1614 2731 5221 5462 6187 8193 10442 12374 15663 16386 18561 31326 37122 61063 62813 122126 125626 183189 188439 366378 376878 619937 734639 1239874 1404449 1469278 1859811 2203917 2808898 3719622 4213347 4407834 8426694 14258551 16896697 28517102 33793394 42775653 50690091 85551306 101380182 166763053 333526106 500289159 1000578318 3835550219 7671100438 11506650657 23013301314