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333042121325 = 5252972514949
BaseRepresentation
bin1001101100010101101…
…10110111101001101101
31011211122021111201001102
410312022312313221231
520424032240340300
6412555240252445
733030044215514
oct4661266675155
91154567451042
10333042121325
11119273660091
1254667171125
13255375354a4
14121955d967b
1589e33ec0d5
hex4d8adb7a6d

333042121325 has 12 divisors (see below), whose sum is σ = 413050358100. Its totient is φ = 266383292160.

The previous prime is 333042121283. The next prime is 333042121351. The reversal of 333042121325 is 523121240333.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1741726756 + 331300394569 = 41734^2 + 575587^2 .

It is not a de Polignac number, because 333042121325 - 26 = 333042121261 is a prime.

It is a super-3 number, since 3×3330421213253 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1125050 + ... + 1389899.

It is an arithmetic number, because the mean of its divisors is an integer number (34420863175).

Almost surely, 2333042121325 is an apocalyptic number.

It is an amenable number.

333042121325 is a deficient number, since it is larger than the sum of its proper divisors (80008236775).

333042121325 is a wasteful number, since it uses less digits than its factorization.

333042121325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520256 (or 2520251 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 333042121325 its reverse (523121240333), we get a palindrome (856163361658).

The spelling of 333042121325 in words is "three hundred thirty-three billion, forty-two million, one hundred twenty-one thousand, three hundred twenty-five".

Divisors: 1 5 25 5297 26485 132425 2514949 12574745 62873725 13321684853 66608424265 333042121325