Search a number
-
+
2321413410300 = 2235251711496431
BaseRepresentation
bin100001110001111111000…
…001011000110111111100
322012220222021212211101120
4201301333001120313330
5301013223313112200
64534235333510540
7326500534262145
oct41617701306774
98186867784346
102321413410300
11815562395196
12315aa47a2450
1313aba683325a
14804dd8baacc
15405ba54a9a0
hex21c7f058dfc

2321413410300 has 72 divisors (see below), whose sum is σ = 6717926191872. Its totient is φ = 618923448000.

The previous prime is 2321413410271. The next prime is 2321413410301. The reversal of 2321413410300 is 30143141232.

It is a happy number.

It is a super-2 number, since 2×23214134103002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2321413410301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 803085 + ... + 2299515.

Almost surely, 22321413410300 is an apocalyptic number.

2321413410300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2321413410300 is an abundant number, since it is smaller than the sum of its proper divisors (4396512781572).

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

2321413410300 is a wasteful number, since it uses less digits than its factorization.

2321413410300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501619 (or 1501612 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2321413410300 its reverse (30143141232), we get a palindrome (2351556551532).

The spelling of 2321413410300 in words is "two trillion, three hundred twenty-one billion, four hundred thirteen million, four hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 5171 10342 15513 20684 25855 31026 51710 62052 77565 103420 129275 155130 258550 310260 387825 517100 775650 1496431 1551300 2992862 4489293 5985724 7482155 8978586 14964310 17957172 22446465 29928620 37410775 44892930 74821550 89785860 112232325 149643100 224464650 448929300 7738044701 15476089402 23214134103 30952178804 38690223505 46428268206 77380447010 92856536412 116070670515 154760894020 193451117525 232141341030 386902235050 464282682060 580353352575 773804470100 1160706705150 2321413410300