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231132322233 = 33294159122029
BaseRepresentation
bin1101011101000010001…
…1110101100110111001
3211002121000020111222000
43113100203311212321
512241324333302413
6254103011451213
722461450215601
oct3272043654671
9732530214860
10231132322233
118a02819672a
12389658b6b09
1318a46170c17
14b288a7dc01
15602b6bb073
hex35d08f59b9

231132322233 has 64 divisors (see below), whose sum is σ = 369018720000. Its totient is φ = 142684899840.

The previous prime is 231132322181. The next prime is 231132322237. The reversal of 231132322233 is 332223231132.

231132322233 is a `hidden beast` number, since 2 + 311 + 3 + 2 + 322 + 23 + 3 = 666.

It is not a de Polignac number, because 231132322233 - 217 = 231132191161 is a prime.

It is a super-2 number, since 2×2311323222332 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 231132322197 and 231132322206.

It is not an unprimeable number, because it can be changed into a prime (231132322237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1833063 + ... + 1955091.

It is an arithmetic number, because the mean of its divisors is an integer number (5765917500).

Almost surely, 2231132322233 is an apocalyptic number.

It is an amenable number.

231132322233 is a deficient number, since it is larger than the sum of its proper divisors (137886397767).

231132322233 is a wasteful number, since it uses less digits than its factorization.

231132322233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122167 (or 122161 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 231132322233 its reverse (332223231132), we get a palindrome (563355553365).

The spelling of 231132322233 in words is "two hundred thirty-one billion, one hundred thirty-two million, three hundred twenty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 27 29 41 59 87 123 177 261 369 531 783 1107 1189 1593 1711 2419 3567 5133 7257 10701 15399 21771 32103 46197 65313 70151 122029 210453 366087 631359 1098261 1894077 3294783 3538841 5003189 7199711 10616523 15009567 21599133 31849569 45028701 64797399 95548707 135086103 145092481 194392197 208791619 295188151 435277443 626374857 885564453 1305832329 1879124571 2656693359 3917496987 5637373713 7970080077 8560456379 25681369137 77044107411 231132322233