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123132233223021 = 311191148113190747
BaseRepresentation
bin11011111111110011110101…
…000001011000101101101101
3121010222022211001012001002010
4123333303311001120231231
5112114344303201114041
61113514100025151433
734636003345246011
oct3377636501305555
9533868731161063
10123132233223021
11362630a5670580
1211987a2792b579
1353924206c5a29
1422598bbc7a541
15e37e42cdda16
hex6ffcf5058b6d

123132233223021 has 32 divisors (see below), whose sum is σ = 180160713547776. Its totient is φ = 74184755504000.

The previous prime is 123132233222987. The next prime is 123132233223023. The reversal of 123132233223021 is 120322332231321.

It is a cyclic number.

It is not a de Polignac number, because 123132233223021 - 211 = 123132233220973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123132233223021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123132233223023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2739370 + ... + 15930116.

It is an arithmetic number, because the mean of its divisors is an integer number (5630022298368).

Almost surely, 2123132233223021 is an apocalyptic number.

123132233223021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123132233223021 is a deficient number, since it is larger than the sum of its proper divisors (57028480324755).

123132233223021 is a wasteful number, since it uses less digits than its factorization.

123132233223021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13192433.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 123132233223021 its reverse (120322332231321), we get a palindrome (243454565454342).

The spelling of 123132233223021 in words is "one hundred twenty-three trillion, one hundred thirty-two billion, two hundred thirty-three million, two hundred twenty-three thousand, twenty-one".

Divisors: 1 3 11 33 191 573 1481 2101 4443 6303 16291 48873 282871 848613 3111581 9334743 13190747 39572241 145098217 435294651 2519432677 7558298031 19535496307 27713759447 58606488921 83141278341 214890459377 644671378131 3731279794637 11193839383911 41044077741007 123132233223021