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330132401032 = 23719811382583
BaseRepresentation
bin1001100110111010110…
…11001010101110001000
31011120010111100121012011
410303131123022232020
520402102343313112
6411354415025304
732564663052130
oct4633533125610
91146114317164
10330132401032
11118010152175
1253b9480b234
13251927702c5
1411d9adb3ac0
1588c2c3caa7
hex4cdd6cab88

330132401032 has 64 divisors (see below), whose sum is σ = 745579699200. Its totient is φ = 133873093440.

The previous prime is 330132400999. The next prime is 330132401041. The reversal of 330132401032 is 230104231033.

It is a super-2 number, since 2×3301324010322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330132400994 and 330132401012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671613 + ... + 1054195.

It is an arithmetic number, because the mean of its divisors is an integer number (11649682800).

Almost surely, 2330132401032 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 330132401032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372789849600).

330132401032 is an abundant number, since it is smaller than the sum of its proper divisors (415447298168).

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

330132401032 is a wasteful number, since it uses less digits than its factorization.

330132401032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383426 (or 383422 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 330132401032 its reverse (230104231033), we get a palindrome (560236632065).

The spelling of 330132401032 in words is "three hundred thirty billion, one hundred thirty-two million, four hundred one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 811 1064 1622 3244 5677 6488 11354 15409 22708 30818 45416 61636 107863 123272 215726 382583 431452 765166 862904 1530332 2678081 3060664 5356162 7269077 10712324 14538154 21424648 29076308 50883539 58152616 101767078 203534156 310274813 407068312 620549626 1241099252 2171923691 2482198504 4343847382 5895221447 8687694764 11790442894 17375389528 23580885788 41266550129 47161771576 82533100258 165066200516 330132401032