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331100321000331 = 31792938612098183
BaseRepresentation
bin100101101001000100100110…
…1000001001010101110001011
31121102022212210122201121202010
41023102021031001022232023
5321344221424134002311
63132105215421111003
7126512131420310001
oct11322111501125613
91542285718647663
10331100321000331
11965539484898a3
12311755636b8463
131129981ac9094c
145ba94abb68a71
152842a2c394da6
hex12d224d04ab8b

331100321000331 has 16 divisors (see below), whose sum is σ = 443935113557760. Its totient is φ = 219499547457120.

The previous prime is 331100321000311. The next prime is 331100321000417. The reversal of 331100321000331 is 133000123001133.

It is not a de Polignac number, because 331100321000331 - 210 = 331100320999307 is a prime.

It is a super-2 number, since 2×3311003210003312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331100321000298 and 331100321000307.

It is not an unprimeable number, because it can be changed into a prime (331100321000311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156754266 + ... + 158852448.

It is an arithmetic number, because the mean of its divisors is an integer number (27745944597360).

Almost surely, 2331100321000331 is an apocalyptic number.

331100321000331 is a deficient number, since it is larger than the sum of its proper divisors (112834792557429).

331100321000331 is a wasteful number, since it uses less digits than its factorization.

331100321000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392226.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 331100321000331 its reverse (133000123001133), we get a palindrome (464100444001464).

The spelling of 331100321000331 in words is "three hundred thirty-one trillion, one hundred billion, three hundred twenty-one million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 179 537 293861 881583 2098183 6294549 52601119 157803357 375574757 1126724271 616574154563 1849722463689 110366773666777 331100321000331