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332001332022031 = 71719236384272677
BaseRepresentation
bin100101101111101000001010…
…1011101011100101100001111
31121112112000110122220221000121
41023133100111131130230033
5322004002211444201111
63134035150102205411
7126634206335524450
oct11337202535345417
91545460418827017
10332001332022031
1196870a79740211
12312a00ba423867
131133378c045839
145bdad4352b127
15285b1b352d871
hex12df41575cb0f

332001332022031 has 32 divisors (see below), whose sum is σ = 441280927503360. Its totient is φ = 242704510050816.

The previous prime is 332001332022013. The next prime is 332001332022083. The reversal of 332001332022031 is 130220233100233.

It is a cyclic number.

It is not a de Polignac number, because 332001332022031 - 27 = 332001332021903 is a prime.

It is a super-2 number, since 2×3320013320220312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332001332021987 and 332001332022005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332001332022331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3192084336 + ... + 3192188341.

It is an arithmetic number, because the mean of its divisors is an integer number (13790028984480).

Almost surely, 2332001332022031 is an apocalyptic number.

332001332022031 is a deficient number, since it is larger than the sum of its proper divisors (109279595481329).

332001332022031 is a wasteful number, since it uses less digits than its factorization.

332001332022031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6384272743.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 332001332022031 its reverse (130220233100233), we get a palindrome (462221565122264).

The spelling of 332001332022031 in words is "three hundred thirty-two trillion, one billion, three hundred thirty-two million, twenty-two thousand, thirty-one".

Divisors: 1 7 17 19 23 119 133 161 323 391 437 2261 2737 3059 7429 52003 6384272677 44689908739 108532635509 121301180863 146838271571 759728448563 849108266041 1027867900997 2062120074671 2496250616707 2789927159849 14434840522697 17473754316949 19529490118943 47428761717433 332001332022031