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13322100103420 = 22517262114949503
BaseRepresentation
bin1100000111011100101100…
…0010110101100011111100
31202011120200001200010120111
43001313023002311203330
53221232130111302140
644200031023355404
72543330026325323
oct301671302654374
952146601603514
1013322100103420
114276964224879
1215b1ab4452b64
137583652b78a4
14340b163250ba
151818121497ea
hexc1dcb0b58fc

13322100103420 has 48 divisors (see below), whose sum is σ = 29633385212928. Its totient is φ = 5013464990720.

The previous prime is 13322100103399. The next prime is 13322100103427. The reversal of 13322100103420 is 2430100122331.

It is a junction number, because it is equal to n+sod(n) for n = 13322100103391 and 13322100103400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322100103427) 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 15 ways as a sum of consecutive naturals, for example, 6583612 + ... + 8365891.

It is an arithmetic number, because the mean of its divisors is an integer number (617362191936).

Almost surely, 213322100103420 is an apocalyptic number.

13322100103420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13322100103420 is an abundant number, since it is smaller than the sum of its proper divisors (16311285109508).

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

13322100103420 is a wasteful number, since it uses less digits than its factorization.

13322100103420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14952150 (or 14952148 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13322100103420 its reverse (2430100122331), we get a palindrome (15752200225751).

The spelling of 13322100103420 in words is "thirteen trillion, three hundred twenty-two billion, one hundred million, one hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 2621 5242 10484 13105 26210 44557 52420 89114 178228 222785 445570 891140 14949503 29899006 59798012 74747515 149495030 254141551 298990060 508283102 1016566204 1270707755 2541415510 5082831020 39182647363 78365294726 156730589452 195913236815 391826473630 666105005171 783652947260 1332210010342 2664420020684 3330525025855 6661050051710 13322100103420