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330310021110132 = 223710975474780151
BaseRepresentation
bin100101100011010100100101…
…1011110010101100101110100
31121022112022220022001111212110
41023012221023132111211310
5321243244410401011012
63130302155011451020
7126401053150135320
oct11306511336254564
91538468808044773
10330310021110132
1196279769830178
12310683658b6a70
131124014184191b
145b7d139bc0980
15282c1c597473c
hex12c6a4b795974

330310021110132 has 96 divisors (see below), whose sum is σ = 889025670973440. Its totient is φ = 93496062844800.

The previous prime is 330310021110127. The next prime is 330310021110151. The reversal of 330310021110132 is 231011120013033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 330310021110099 and 330310021110108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66710257 + ... + 71490407.

It is an arithmetic number, because the mean of its divisors is an integer number (9260684072640).

Almost surely, 2330310021110132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330310021110132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444512835486720).

330310021110132 is an abundant number, since it is smaller than the sum of its proper divisors (558715649863308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330310021110132 is a wasteful number, since it uses less digits than its factorization.

330310021110132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787821 (or 4787819 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 330310021110132 its reverse (231011120013033), we get a palindrome (561321141123165).

The spelling of 330310021110132 in words is "three hundred thirty trillion, three hundred ten billion, twenty-one million, one hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 109 218 327 436 654 763 1308 1526 2289 3052 4578 7547 9156 15094 22641 30188 45282 52829 90564 105658 158487 211316 316974 633948 822623 1645246 2467869 3290492 4780151 4935738 5758361 9560302 9871476 11516722 14340453 17275083 19120604 23033444 28680906 33461057 34550166 57361812 66922114 69100332 100383171 133844228 200766342 401532684 521036459 1042072918 1563109377 2084145836 3126218754 3647255213 6252437508 7294510426 10941765639 14589020852 21883531278 36075799597 43767062556 72151599194 108227398791 144303198388 216454797582 252530597179 432909595164 505061194358 757591791537 1010122388716 1515183583074 3030367166148 3932262156073 7864524312146 11796786468219 15729048624292 23593572936438 27525835092511 47187145872876 55051670185022 82577505277533 110103340370044 165155010555066 330310021110132