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3300202020132 = 22321753101745037
BaseRepresentation
bin110000000001100011010…
…111100111110100100100
3102200111101202022222201100
4300001203113213310210
5413032303204121012
611004031502400100
7460301040216423
oct60014327476444
912614352288640
103300202020132
111062676005766
12453726b90030
131ac291472444
14b5a32bc52ba
155aca4a0a8dc
hex300635e7d24

3300202020132 has 72 divisors (see below), whose sum is σ = 8999552101176. Its totient is φ = 1015822439424.

The previous prime is 3300202020109. The next prime is 3300202020139. The reversal of 3300202020132 is 2310202020033.

It is a happy number.

3300202020132 is a `hidden beast` number, since 330 + 0 + 2 + 0 + 202 + 0 + 132 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 392986056996 + 2907215963136 = 626886^2 + 1705056^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3300202020139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50840083 + ... + 50904954.

It is an arithmetic number, because the mean of its divisors is an integer number (124993779183).

Almost surely, 23300202020132 is an apocalyptic number.

It is an amenable number.

3300202020132 is an abundant number, since it is smaller than the sum of its proper divisors (5699350081044).

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

3300202020132 is a wasteful number, since it uses less digits than its factorization.

3300202020132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101745117 (or 101745112 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3300202020132 its reverse (2310202020033), we get a palindrome (5610404040165).

Subtracting from 3300202020132 its reverse (2310202020033), we obtain a palindrome (990000000099).

The spelling of 3300202020132 in words is "three trillion, three hundred billion, two hundred two million, twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 306 318 477 612 636 901 954 1802 1908 2703 3604 5406 8109 10812 16218 32436 101745037 203490074 305235111 406980148 610470222 915705333 1220940444 1729665629 1831410666 3459331258 3662821332 5188996887 5392486961 6918662516 10377993774 10784973922 15566990661 16177460883 20755987548 21569947844 31133981322 32354921766 48532382649 62267962644 64709843532 91672278337 97064765298 183344556674 194129530596 275016835011 366689113348 550033670022 825050505033 1100067340044 1650101010066 3300202020132