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133201122232221 = 3297187381462149
BaseRepresentation
bin11110010010010101001101…
…100100110000011110011101
3122110121220101020020112220200
4132102111031210300132131
5114424331344242412341
61151143430100534113
740025314660552611
oct3622251544603635
9573556336215820
10133201122232221
1139495307a5484a
1212b3332a3b1339
135942a72a6a394
1424c6d7c221341
15105ed00a39db6
hex79254d93079d

133201122232221 has 24 divisors (see below), whose sum is σ = 194488928033400. Its totient is φ = 87838353248256.

The previous prime is 133201122232207. The next prime is 133201122232229. The reversal of 133201122232221 is 122232221102331.

133201122232221 is a `hidden beast` number, since 1 + 3 + 3 + 201 + 1 + 2 + 2 + 232 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1585045748196 + 131616076484025 = 1258986^2 + 11472405^2 .

It is not a de Polignac number, because 133201122232221 - 219 = 133201121707933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133201122232229) 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, 39095946 + ... + 42366203.

It is an arithmetic number, because the mean of its divisors is an integer number (8103705334725).

Almost surely, 2133201122232221 is an apocalyptic number.

It is an amenable number.

133201122232221 is a deficient number, since it is larger than the sum of its proper divisors (61287805801179).

133201122232221 is a wasteful number, since it uses less digits than its factorization.

133201122232221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81464125 (or 81464122 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 133201122232221 its reverse (122232221102331), we get a palindrome (255433343334552).

The spelling of 133201122232221 in words is "one hundred thirty-three trillion, two hundred one billion, one hundred twenty-two million, two hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 97 291 873 1873 5619 16857 181681 545043 1635129 81462149 244386447 733159341 7901828453 23705485359 71116456077 152578605077 457735815231 1373207445693 14800124692469 44400374077407 133201122232221