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331113001320321 = 311103202948011251
BaseRepresentation
bin100101101001001010100000…
…0110100101111111110000001
31121102101002112100222121200020
41023102111000310233332001
5321344423411314222241
63132115113552244053
7126513060562250643
oct11322250064577601
91542332470877606
10331113001320321
11965592651689a0
1231177b02240629
131129aa8c063c7c
145ba9d51c7a893
1528430206ebb66
hex12d2540d2ff81

331113001320321 has 32 divisors (see below), whose sum is σ = 486534505067520. Its totient is φ = 198628302600000.

The previous prime is 331113001320247. The next prime is 331113001320323. The reversal of 331113001320321 is 123023100311133.

It is not a de Polignac number, because 331113001320321 - 213 = 331113001312129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331113001320291 and 331113001320300.

It is not an unprimeable number, because it can be changed into a prime (331113001320323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17109055 + ... + 30902196.

It is an arithmetic number, because the mean of its divisors is an integer number (15204203283360).

Almost surely, 2331113001320321 is an apocalyptic number.

It is an amenable number.

331113001320321 is a deficient number, since it is larger than the sum of its proper divisors (155421503747199).

331113001320321 is a wasteful number, since it uses less digits than its factorization.

331113001320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48013397.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 331113001320321 its reverse (123023100311133), we get a palindrome (454136101631454).

The spelling of 331113001320321 in words is "three hundred thirty-one trillion, one hundred thirteen billion, one million, three hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 11 33 103 309 1133 2029 3399 6087 22319 66957 208987 626961 2298857 6896571 48011251 144033753 528123761 1584371283 4945158853 14835476559 54396747383 97414828279 163190242149 292244484837 1071563111069 3214689333207 10033727312737 30101181938211 110371000440107 331113001320321