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332042240233 = 11101846135323
BaseRepresentation
bin1001101010011110100…
…00101000000011101001
31011202001121001111001101
410311033100220003221
520420010303141413
6412312121321401
732663213321344
oct4651720500351
91152047044041
10332042240233
11118900208680
1254428336261
132540833a482
14120dc8bd45b
158985740edd
hex4d4f4280e9

332042240233 has 16 divisors (see below), whose sum is σ = 365867906112. Its totient is φ = 298824120000.

The previous prime is 332042240227. The next prime is 332042240251.

332042240233 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-332042240233 is a prime.

It is a super-2 number, since 2×3320422402332 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332042240273) 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 15 ways as a sum of consecutive naturals, for example, 9382510 + ... + 9417832.

It is an arithmetic number, because the mean of its divisors is an integer number (22866744132).

Almost surely, 2332042240233 is an apocalyptic number.

It is an amenable number.

332042240233 is a deficient number, since it is larger than the sum of its proper divisors (33825665879).

332042240233 is a wasteful number, since it uses less digits than its factorization.

332042240233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43896.

The product of its (nonzero) digits is 20736, while the sum is 28.

It can be divided in two parts, 332042 and 240233, that added together give a palindrome (572275).

The spelling of 332042240233 in words is "three hundred thirty-two billion, forty-two million, two hundred forty thousand, two hundred thirty-three".

Divisors: 1 11 101 1111 8461 35323 93071 388553 854561 3567623 9400171 39243853 298867903 3287546933 30185658203 332042240233