Search a number
-
+
201233133252 = 223221141536379
BaseRepresentation
bin1011101101101001101…
…1011110111011000100
3201020102021122100022100
42323122123132323010
511244111140231002
6232240100232100
720352513260454
oct2733233367304
9636367570270
10201233133252
1178384948498
123300069b630
1315c8c944818
149a4db97d64
15537b85711c
hex2eda6deec4

201233133252 has 72 divisors (see below), whose sum is σ = 511286615840. Its totient is φ = 66733269120.

The previous prime is 201233133239. The next prime is 201233133253. The reversal of 201233133252 is 252331332102.

It is a happy number.

201233133252 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 331 + 3 + 325 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (201233133253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31542999 + ... + 31549377.

Almost surely, 2201233133252 is an apocalyptic number.

It is an amenable number.

201233133252 is an abundant number, since it is smaller than the sum of its proper divisors (310053482588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201233133252 is a wasteful number, since it uses less digits than its factorization.

201233133252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10753 (or 10748 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 201233133252 its reverse (252331332102), we get a palindrome (453564465354).

The spelling of 201233133252 in words is "two hundred one billion, two hundred thirty-three million, one hundred thirty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 211 422 633 844 1266 1899 2532 3798 4153 6379 7596 8306 12459 12758 16612 19137 24918 25516 37377 38274 49836 57411 74754 76548 114822 149508 229644 876283 1345969 1752566 2628849 2691938 3505132 4037907 5257698 5383876 7886547 8075814 10515396 12113721 15773094 16151628 24227442 26491987 31546188 48454884 52983974 79475961 105967948 158951922 238427883 317903844 476855766 953711532 5589809257 11179618514 16769427771 22359237028 33538855542 50308283313 67077711084 100616566626 201233133252