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13223033032231 = 11101115971026293
BaseRepresentation
bin1100000001101011101000…
…1011111100111000100111
31201211002221220111111001201
43000122322023330320213
53213121232424012411
644042324424303331
72533222041163021
oct300327213747047
951732856444051
1013223033032231
114238947471a20
121596867011b47
1374bc07b60939
14339dd9153011
1517de64c933c1
hexc06ba2fce27

13223033032231 has 16 divisors (see below), whose sum is σ = 14569220361888. Its totient is φ = 11900882032000.

The previous prime is 13223033032127. The next prime is 13223033032247.

13223033032231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13223033032231 - 225 = 13222999477799 is a prime.

It is a super-2 number, since 2×132230330322312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13223033032231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223033032631) 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, 12371121 + ... + 13397413.

It is an arithmetic number, because the mean of its divisors is an integer number (910576272618).

Almost surely, 213223033032231 is an apocalyptic number.

13223033032231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13223033032231 is a deficient number, since it is larger than the sum of its proper divisors (1346187329657).

13223033032231 is a wasteful number, since it uses less digits than its factorization.

13223033032231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038002.

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 1322303 and 3032231, that added together give a palindrome (4354534).

The spelling of 13223033032231 in words is "thirteen trillion, two hundred twenty-three billion, thirty-three million, thirty-two thousand, two hundred thirty-one".

Divisors: 1 11 101 1111 11597 127567 1026293 1171297 11289223 12884267 103655593 1140211523 11901919921 130921119131 1202093912021 13223033032231