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12304153300 = 22524143101691
BaseRepresentation
bin10110111010110001…
…00111101011010100
31011202111102202020111
423131120213223110
5200144330401200
65352532412404
7613623402025
oct133530475324
934674382214
1012304153300
11524441253a
122474777104
131211187baa
1484a192c4c
154c03000ba
hex2dd627ad4

12304153300 has 144 divisors (see below), whose sum is σ = 28305313344. Its totient is φ = 4636800000.

The previous prime is 12304153241. The next prime is 12304153349. The reversal of 12304153300 is 335140321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17805955 + ... + 17806645.

It is an arithmetic number, because the mean of its divisors is an integer number (196564676).

Almost surely, 212304153300 is an apocalyptic number.

12304153300 is a gapful number since it is divisible by the number (10) 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 12304153300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152656672).

12304153300 is an abundant number, since it is smaller than the sum of its proper divisors (16001160044).

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

12304153300 is a wasteful number, since it uses less digits than its factorization.

12304153300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 12304153300 its reverse (335140321), we get a palindrome (12639293621).

The spelling of 12304153300 in words is "twelve billion, three hundred four million, one hundred fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 43 50 82 86 100 101 164 172 202 205 215 404 410 430 505 691 820 860 1010 1025 1075 1382 1763 2020 2050 2150 2525 2764 3455 3526 4100 4141 4300 4343 5050 6910 7052 8282 8686 8815 10100 13820 16564 17275 17372 17630 20705 21715 28331 29713 34550 35260 41410 43430 44075 56662 59426 69100 69791 82820 86860 88150 103525 108575 113324 118852 139582 141655 148565 176300 178063 207050 217150 279164 283310 297130 348955 356126 414100 434300 566620 594260 697910 708275 712252 742825 890315 1218233 1395820 1416550 1485650 1744775 1780630 2436466 2833100 2861431 2971300 3001013 3489550 3561260 4451575 4872932 5722862 6002026 6091165 6979100 8903150 11445724 12004052 12182330 14307155 15005065 17806300 24364660 28614310 30010130 30455825 57228620 60020260 60911650 71535775 75025325 121823300 123041533 143071550 150050650 246083066 286143100 300101300 492166132 615207665 1230415330 2460830660 3076038325 6152076650 12304153300