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233003000133 = 32181143034377
BaseRepresentation
bin1101100100000000001…
…1111010000101000101
3211021102101020210121200
43121000003322011011
512304142232001013
6255012354533113
722556013552201
oct3310003720505
9737371223550
10233003000133
118a8a8134722
12391a8297199
1318c838a9217
14b3c52b3b01
1560daa35e73
hex36400fa145

233003000133 has 12 divisors (see below), whose sum is σ = 338419338348. Its totient is φ = 154477126080.

The previous prime is 233003000117. The next prime is 233003000149. The reversal of 233003000133 is 331000300332.

233003000133 is a `hidden beast` number, since 2 + 330 + 0 + 300 + 0 + 1 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (233003000117) and next prime (233003000149).

It can be written as a sum of positive squares in 2 ways, for example, as 7447344804 + 225555655329 = 86298^2 + 474927^2 .

It is not a de Polignac number, because 233003000133 - 24 = 233003000117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233003005133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71515560 + ... + 71518817.

It is an arithmetic number, because the mean of its divisors is an integer number (28201611529).

Almost surely, 2233003000133 is an apocalyptic number.

It is an amenable number.

233003000133 is a deficient number, since it is larger than the sum of its proper divisors (105416338215).

233003000133 is a wasteful number, since it uses less digits than its factorization.

233003000133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143034564 (or 143034561 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 233003000133 its reverse (331000300332), we get a palindrome (564003300465).

The spelling of 233003000133 in words is "two hundred thirty-three billion, three million, one hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 9 181 543 1629 143034377 429103131 1287309393 25889222237 77667666711 233003000133