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13320131230300 = 2252739887184553
BaseRepresentation
bin1100000111010101010110…
…1100001011101001011100
31202011101120211220000101211
43001311111230023221130
53221214112043332200
644155103411514204
72543230161224416
oct301652554135134
952141524800354
1013320131230300
114276043908304
1215b1644bb8964
1375811041b3cb
143409aaa4d9b6
15181749384aba
hexc1d55b0ba5c

13320131230300 has 72 divisors (see below), whose sum is σ = 29303761689216. Its totient is φ = 5254505487360.

The previous prime is 13320131230297. The next prime is 13320131230331. The reversal of 13320131230300 is 303213102331.

13320131230300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72082824 + ... + 72267376.

It is an arithmetic number, because the mean of its divisors is an integer number (406996690128).

Almost surely, 213320131230300 is an apocalyptic number.

13320131230300 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 13320131230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651880844608).

13320131230300 is an abundant number, since it is smaller than the sum of its proper divisors (15983630458916).

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

13320131230300 is a wasteful number, since it uses less digits than its factorization.

13320131230300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194527 (or 194520 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13320131230300 its reverse (303213102331), we get a palindrome (13623344332631).

The spelling of 13320131230300 in words is "thirteen trillion, three hundred twenty billion, one hundred thirty-one million, two hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 9887 19774 39548 49435 98870 184553 197740 247175 369106 494350 721751 738212 922765 988700 1443502 1845530 2887004 3608755 3691060 4613825 7217510 9227650 13472369 14435020 18043775 18455300 26944738 36087550 53889476 67361845 72175100 134723690 269447380 336809225 673618450 1347236900 1824675511 3649351022 7298702044 9123377555 18246755110 36493510220 45616887775 91233775550 133201312303 182467551100 266402624606 532805249212 666006561515 1332013123030 2664026246060 3330032807575 6660065615150 13320131230300