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13223032121211 = 31110119750340037
BaseRepresentation
bin1100000001101011101000…
…1000011110011101111011
31201211002221211210012101020
43000122322020132131323
53213121232210334321
644042324352553523
72533222030350003
oct300327210363573
951732854705336
1013223032121211
1142389469aa510
1215968668528a3
1374bc07902083
14339dd8d97003
1517de64b634c6
hexc06ba21e77b

13223032121211 has 64 divisors (see below), whose sum is σ = 19561831382016. Its totient is φ = 7878444224000.

The previous prime is 13223032121191. The next prime is 13223032121213. The reversal of 13223032121211 is 11212123032231.

It is a cyclic number.

It is not a de Polignac number, because 13223032121211 - 25 = 13223032121179 is a prime.

It is a super-2 number, since 2×132230321212112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13223032121213) 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 63 ways as a sum of consecutive naturals, for example, 330250285 + ... + 330290321.

It is an arithmetic number, because the mean of its divisors is an integer number (305653615344).

Almost surely, 213223032121211 is an apocalyptic number.

13223032121211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13223032121211 is a deficient number, since it is larger than the sum of its proper divisors (6338799260805).

13223032121211 is a wasteful number, since it uses less digits than its factorization.

13223032121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40852.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13223032121211 its reverse (11212123032231), we get a palindrome (24435155153442).

The spelling of 13223032121211 in words is "thirteen trillion, two hundred twenty-three billion, thirty-two million, one hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 11 33 101 197 303 503 591 1111 1509 2167 3333 5533 6501 16599 19897 40037 50803 59691 99091 120111 152409 218867 297273 440407 558833 656601 1090001 1321221 1676499 3270003 4043737 7887289 10008191 12131211 20138611 23661867 30024573 44481107 60415833 86760179 110090101 133443321 221524721 260280537 330270303 664574163 796616189 2033999711 2389848567 3967306367 6101999133 8762778079 11901919101 22373996821 26288334237 43640370037 67121990463 130921110111 400697943067 1202093829201 4407677373737 13223032121211