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13332112101 = 3271120279491
BaseRepresentation
bin11000110101010011…
…11110001011100101
31021102010201110121200
430122221332023211
5204301010041401
610042533233113
7651245040330
oct143251761345
937363643550
1013332112101
1157216a2170
122700a92799
131346133c39
149068db617
155306a5686
hex31aa7e2e5

13332112101 has 48 divisors (see below), whose sum is σ = 24023720448. Its totient is φ = 6921626400.

The previous prime is 13332112099. The next prime is 13332112103. The reversal of 13332112101 is 10121123331.

13332112101 is a `hidden beast` number, since 133 + 321 + 1 + 210 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13332112099) and next prime (13332112103).

It is not a de Polignac number, because 13332112101 - 21 = 13332112099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332112103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1399966 + ... + 1409456.

It is an arithmetic number, because the mean of its divisors is an integer number (500494176).

Almost surely, 213332112101 is an apocalyptic number.

13332112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13332112101 is a deficient number, since it is larger than the sum of its proper divisors (10691608347).

13332112101 is a wasteful number, since it uses less digits than its factorization.

13332112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11542 (or 11539 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13332112101 its reverse (10121123331), we get a palindrome (23453235432).

The spelling of 13332112101 in words is "thirteen billion, three hundred thirty-two million, one hundred twelve thousand, one hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 2027 6081 9491 14189 18243 22297 28473 42567 66437 66891 85419 104401 127701 156079 199311 200673 313203 468237 597933 730807 939609 1404711 2192421 6577263 19238257 57714771 134667799 173144313 211620827 404003397 634862481 1212010191 1481345789 1904587443 4444037367 13332112101