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13011133023 = 3272154319121
BaseRepresentation
bin11000001111000011…
…00010001001011111
31020120202202001002200
430013201202021133
5203121322224043
65551025422543
7640266543300
oct140741421137
936522661080
1013011133023
1155774998a9
12263149aa53
1312c479c1a5
148b60267a7
155124007d3
hex30786225f

13011133023 has 36 divisors (see below), whose sum is σ = 21877556688. Its totient is φ = 7429726080.

The previous prime is 13011133013. The next prime is 13011133103. The reversal of 13011133023 is 32033111031.

It is a happy number.

13011133023 is a `hidden beast` number, since 1 + 301 + 11 + 330 + 23 = 666.

It is not a de Polignac number, because 13011133023 - 225 = 12977578591 is a prime.

It is a super-2 number, since 2×130111330232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13011132987 and 13011133005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13011133013) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 670903 + ... + 690023.

It is an arithmetic number, because the mean of its divisors is an integer number (607709908).

Almost surely, 213011133023 is an apocalyptic number.

13011133023 is a deficient number, since it is larger than the sum of its proper divisors (8866423665).

13011133023 is a wasteful number, since it uses less digits than its factorization.

13011133023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20684 (or 20674 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13011133023 its reverse (32033111031), we get a palindrome (45044244054).

The spelling of 13011133023 in words is "thirteen billion, eleven million, one hundred thirty-three thousand, twenty-three".

Divisors: 1 3 7 9 21 49 63 147 441 1543 4629 10801 13887 19121 32403 57363 75607 97209 133847 172089 226821 401541 680463 936929 1204623 2810787 8432361 29503703 88511109 206525921 265533327 619577763 1445681447 1858733289 4337044341 13011133023