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12197133 = 3213611709
BaseRepresentation
bin101110100001…
…110100001101
3211221200022200
4232201310031
511110302013
61113232113
7205450104
oct56416415
924850280
1012197133
116980983
124102639
1326b0950
14189703b
15110de73
hexba1d0d

12197133 has 24 divisors (see below), whose sum is σ = 19295640. Its totient is φ = 7378560.

The previous prime is 12197123. The next prime is 12197189. The reversal of 12197133 is 33179121.

12197133 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 887364 + 11309769 = 942^2 + 3363^2 .

It is not a de Polignac number, because 12197133 - 210 = 12196109 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12197097 and 12197106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12197113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6283 + ... + 7991.

It is an arithmetic number, because the mean of its divisors is an integer number (803985).

Almost surely, 212197133 is an apocalyptic number.

12197133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12197133 is a deficient number, since it is larger than the sum of its proper divisors (7098507).

12197133 is a wasteful number, since it uses less digits than its factorization.

12197133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1786 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 12197133 is about 3492.4394053441. The cubic root of 12197133 is about 230.1897174430.

The spelling of 12197133 in words is "twelve million, one hundred ninety-seven thousand, one hundred thirty-three".

Divisors: 1 3 9 13 39 61 117 183 549 793 1709 2379 5127 7137 15381 22217 66651 104249 199953 312747 938241 1355237 4065711 12197133