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12302320002132 = 22319296871270791
BaseRepresentation
bin1011001100000101101101…
…1010011110010001010100
31121120002102211111110011110
42303001123122132101110
53103030122410032012
642055335140535020
72406545646434436
oct263013332362124
947502384443143
1012302320002132
113a13425a14036
1214683320b1470
136b3147077a04
14307614cb8656
1516502910273c
hexb305b69e454

12302320002132 has 96 divisors (see below), whose sum is σ = 31262828083200. Its totient is φ = 3750419836800.

The previous prime is 12302320002131. The next prime is 12302320002169. The reversal of 12302320002132 is 23120002320321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12302320002099 and 12302320002108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302320002131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45295657 + ... + 45566447.

It is an arithmetic number, because the mean of its divisors is an integer number (325654459200).

Almost surely, 212302320002132 is an apocalyptic number.

12302320002132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12302320002132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15631414041600).

12302320002132 is an abundant number, since it is smaller than the sum of its proper divisors (18960508081068).

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

12302320002132 is a wasteful number, since it uses less digits than its factorization.

12302320002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277717 (or 277715 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12302320002132 its reverse (23120002320321), we get a palindrome (35422322322453).

The spelling of 12302320002132 in words is "twelve trillion, three hundred two billion, three hundred twenty million, two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 348 551 1102 1653 2204 3306 6612 6871 13742 20613 27484 41226 82452 130549 199259 261098 270791 391647 398518 522196 541582 597777 783294 797036 812373 1083164 1195554 1566588 1624746 2391108 3249492 3785921 5145029 7571842 7852939 10290058 11357763 15143684 15435087 15705878 20580116 22715526 23558817 30870174 31411756 45431052 47117634 61740348 94235268 149205841 298411682 447617523 596823364 895235046 1790470092 1860604961 3721209922 5581814883 7442419844 11163629766 22327259532 35351494259 53957543869 70702988518 106054482777 107915087738 141405977036 161872631607 212108965554 215830175476 323745263214 424217931108 647490526428 1025193333511 2050386667022 3075580000533 4100773334044 6151160001066 12302320002132