Search a number
-
+
33300210132 = 22337291518893
BaseRepresentation
bin11111000000110110…
…001110000111010100
310011221202012221121000
4133000312032013110
51021144323211012
623144203023300
72256132054510
oct370066160724
9104852187530
1033300210132
1113139111822
12655420ab30
1331a901bc67
14187c87b140
15ced71dddc
hex7c0d8e1d4

33300210132 has 96 divisors (see below), whose sum is σ = 102069676800. Its totient is φ = 9186258816.

The previous prime is 33300210131. The next prime is 33300210149. The reversal of 33300210132 is 23101200333.

It is a super-2 number, since 2×333002101322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33300210131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737523 + ... + 781370.

It is an arithmetic number, because the mean of its divisors is an integer number (1063225800).

Almost surely, 233300210132 is an apocalyptic number.

It is an amenable number.

33300210132 is an abundant number, since it is smaller than the sum of its proper divisors (68769466668).

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

33300210132 is a wasteful number, since it uses less digits than its factorization.

33300210132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518942 (or 1518934 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 33300210132 its reverse (23101200333), we get a palindrome (56401410465).

The spelling of 33300210132 in words is "thirty-three billion, three hundred million, two hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 261 348 378 406 522 609 756 783 812 1044 1218 1566 1827 2436 3132 3654 5481 7308 10962 21924 1518893 3037786 4556679 6075572 9113358 10632251 13670037 18226716 21264502 27340074 31896753 41010111 42529004 44047897 54680148 63793506 82020222 88095794 95690259 127587012 132143691 164040444 176191588 191380518 264287382 287070777 308335279 382761036 396431073 528574764 574141554 616670558 792862146 925005837 1148283108 1189293219 1233341116 1585724292 1850011674 2378586438 2775017511 3700023348 4757172876 5550035022 8325052533 11100070044 16650105066 33300210132