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153213201 = 36210169
BaseRepresentation
bin10010010000111…
…01100100010001
3101200022001000000
421020131210101
5303210310301
623111520213
73540201501
oct1110354421
9350261000
10153213201
1179537389
1243389069
13259855cb
14164c3a01
15d6b6786
hex921d911

153213201 has 14 divisors (see below), whose sum is σ = 229715810. Its totient is φ = 102141648.

The previous prime is 153213127. The next prime is 153213209. The reversal of 153213201 is 102312351.

153213201 is a `hidden beast` number, since 1 + 532 + 132 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96059601 + 57153600 = 9801^2 + 7560^2 .

It is not a de Polignac number, because 153213201 - 213 = 153205009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (153213209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 104356 + ... + 105813.

Almost surely, 2153213201 is an apocalyptic number.

It is an amenable number.

153213201 is a deficient number, since it is larger than the sum of its proper divisors (76502609).

153213201 is an frugal number, since it uses more digits than its factorization.

153213201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210187 (or 210172 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 153213201 is about 12377.9320162942. The cubic root of 153213201 is about 535.0964405291.

Adding to 153213201 its reverse (102312351), we get a palindrome (255525552).

The spelling of 153213201 in words is "one hundred fifty-three million, two hundred thirteen thousand, two hundred one".

Divisors: 1 3 9 27 81 243 729 210169 630507 1891521 5674563 17023689 51071067 153213201