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13210021432233 = 3217192239169001
BaseRepresentation
bin1100000000111011001010…
…1000101000101110101001
31201202212101002212201101200
43000032302220220232221
53212413110441312413
644032333340434413
72532251434333113
oct300166250505651
951685332781350
1013210021432233
11423337a79429a
121594235548a09
1374a91325a042
143395230483b3
1517d9527ee573
hexc03b2a28ba9

13210021432233 has 36 divisors (see below), whose sum is σ = 21322873204308. Its totient is φ = 7852396608000.

The previous prime is 13210021432171. The next prime is 13210021432277. The reversal of 13210021432233 is 33223412001231.

13210021432233 is a `hidden beast` number, since 1 + 3 + 210 + 0 + 214 + 3 + 2 + 233 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12146674803264 + 1063346628969 = 3485208^2 + 1031187^2 .

It is not a de Polignac number, because 13210021432233 - 210 = 13210021431209 is a prime.

It is a super-2 number, since 2×132100214322332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13210021432197 and 13210021432206.

It is not an unprimeable number, because it can be changed into a prime (13210021432133) 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 35 ways as a sum of consecutive naturals, for example, 119529268 + ... + 119639733.

It is an arithmetic number, because the mean of its divisors is an integer number (592302033453).

Almost surely, 213210021432233 is an apocalyptic number.

It is an amenable number.

13210021432233 is a deficient number, since it is larger than the sum of its proper divisors (8112851772075).

13210021432233 is a wasteful number, since it uses less digits than its factorization.

13210021432233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239169062 (or 239169040 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13210021432233 its reverse (33223412001231), we get a palindrome (46433433433464).

The spelling of 13210021432233 in words is "thirteen trillion, two hundred ten billion, twenty-one million, four hundred thirty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 17 19 51 57 153 171 323 361 969 1083 2907 3249 6137 18411 55233 239169001 717507003 2152521009 4065873017 4544211019 12197619051 13632633057 36592857153 40897899171 77251587323 86340009361 231754761969 259020028083 695264285907 777060084249 1467780159137 4403340477411 13210021432233