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23211340131 = 372292191983
BaseRepresentation
bin10101100111100000…
…001111000101100011
32012220122020020202010
4111213200033011203
5340014100341011
614355123324003
71451125064400
oct254740170543
965818206663
1023211340131
119931218431
1245b9520603
13225bab6cb5
1411a29c32a7
1590cb591a6
hex56780f163

23211340131 has 72 divisors (see below), whose sum is σ = 37518833664. Its totient is φ = 12726248640.

The previous prime is 23211340091. The next prime is 23211340157. The reversal of 23211340131 is 13104311232.

It is not a de Polignac number, because 23211340131 - 211 = 23211338083 is a prime.

It is a super-2 number, since 2×232113401312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 23211340098 and 23211340107.

It is not an unprimeable number, because it can be changed into a prime (23211340181) 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 71 ways as a sum of consecutive naturals, for example, 23612266 + ... + 23613248.

It is an arithmetic number, because the mean of its divisors is an integer number (521094912).

Almost surely, 223211340131 is an apocalyptic number.

23211340131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23211340131 is a deficient number, since it is larger than the sum of its proper divisors (14307493533).

23211340131 is a wasteful number, since it uses less digits than its factorization.

23211340131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 23211340131 its reverse (13104311232), we get a palindrome (36315651363).

The spelling of 23211340131 in words is "twenty-three billion, two hundred eleven million, three hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 7 21 29 49 87 147 191 203 573 609 841 983 1337 1421 2523 2949 4011 4263 5539 5887 6881 9359 16617 17661 20643 28077 28507 38773 41209 48167 85521 116319 123627 144501 160631 187753 199549 271411 481893 563259 598647 814233 826703 1124417 1314271 1396843 2480109 3373251 3942813 4190529 5444837 5786921 7870919 9199897 16334511 17360763 23612757 27599691 38113859 40508447 114341577 121525341 157900273 266797013 473700819 800391039 1105301911 3315905733 7737113377 23211340131