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13321113102300 = 2235271625404371
BaseRepresentation
bin1100000111011001000000…
…1101101110011111011100
31202011111010021110021120110
43001312100031232133130
53221223114423233200
644155345044450020
72543263413054123
oct301662015563734
952144107407513
1013321113102300
1142764a807a273
1215b18799a9910
1375823897c263
14340a611dcaba
151817a5684b50
hexc1d9036e7dc

13321113102300 has 72 divisors (see below), whose sum is σ = 39085271632512. Its totient is φ = 3502264472000.

The previous prime is 13321113102293. The next prime is 13321113102301. The reversal of 13321113102300 is 320131112331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321113102301) 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, 312680886 + ... + 312723485.

It is an arithmetic number, because the mean of its divisors is an integer number (542850994896).

Almost surely, 213321113102300 is an apocalyptic number.

13321113102300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321113102300 is an abundant number, since it is smaller than the sum of its proper divisors (25764158530212).

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

13321113102300 is a wasteful number, since it uses less digits than its factorization.

13321113102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625404459 (or 625404452 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13321113102300 its reverse (320131112331), we get a palindrome (13641244214631).

The spelling of 13321113102300 in words is "thirteen trillion, three hundred twenty-one billion, one hundred thirteen million, one hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5325 7100 10650 21300 625404371 1250808742 1876213113 2501617484 3127021855 3752426226 6254043710 7504852452 9381065565 12508087420 15635109275 18762131130 31270218550 37524262260 44403710341 46905327825 62540437100 88807420682 93810655650 133211131023 177614841364 187621311300 222018551705 266422262046 444037103410 532844524092 666055655115 888074206820 1110092758525 1332111310230 2220185517050 2664222620460 3330278275575 4440371034100 6660556551150 13321113102300