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13111113432033 = 33759163970069
BaseRepresentation
bin1011111011001010101101…
…0000100011101111100001
31201102102002001000201021000
42332302223100203233201
53204303030014311113
643515055023022213
72522150420240361
oct276625320435741
951372061021230
1013111113432033
1141a54347a9871
12157903143a969
137414aca59a36
1433481d0429a1
1517b0b43ba373
hexbecab423be1

13111113432033 has 16 divisors (see below), whose sum is σ = 19426430857600. Its totient is φ = 8739590690160.

The previous prime is 13111113432023. The next prime is 13111113432089. The reversal of 13111113432033 is 33023431111131.

13111113432033 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 111 + 343 + 203 + 3 = 666.

It is not a de Polignac number, because 13111113432033 - 24 = 13111113432017 is a prime.

It is a super-2 number, since 2×131111134320332 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13111113431988 and 13111113432006.

It is not an unprimeable number, because it can be changed into a prime (13111113432023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31780078 + ... + 32189991.

It is an arithmetic number, because the mean of its divisors is an integer number (1214151928600).

Almost surely, 213111113432033 is an apocalyptic number.

It is an amenable number.

13111113432033 is a deficient number, since it is larger than the sum of its proper divisors (6315317425567).

13111113432033 is an equidigital number, since it uses as much as digits as its factorization.

13111113432033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63977669 (or 63977663 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 13111113432033 its reverse (33023431111131), we get a palindrome (46134544543164).

The spelling of 13111113432033 in words is "thirteen trillion, one hundred eleven billion, one hundred thirteen million, four hundred thirty-two thousand, thirty-three".

Divisors: 1 3 9 27 7591 22773 68319 204957 63970069 191910207 575730621 1727191863 485596793779 1456790381337 4370371144011 13111113432033