Search a number
-
+
3351445020330 = 235112941981151
BaseRepresentation
bin110000110001010001101…
…100001001111010101010
3102212101122222002010001120
4300301101230021322222
5414402224411122310
611043344350000110
7464063634432441
oct60612154117252
912771588063046
103351445020330
111082381384200
124616481a6036
131b40698b0934
14b82d4639d58
155c2a3581b70
hex30c51b09eaa

3351445020330 has 96 divisors (see below), whose sum is σ = 8850571881984. Its totient is φ = 811607280000.

The previous prime is 3351445020277. The next prime is 3351445020353. The reversal of 3351445020330 is 330205441533.

It is a super-2 number, since 2×33514450203302 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3351445020291 and 3351445020300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2925255 + ... + 3906405.

It is an arithmetic number, because the mean of its divisors is an integer number (92193457104).

Almost surely, 23351445020330 is an apocalyptic number.

3351445020330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3351445020330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425285940992).

3351445020330 is an abundant number, since it is smaller than the sum of its proper divisors (5499126861654).

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

3351445020330 is a wasteful number, since it uses less digits than its factorization.

3351445020330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982124 (or 982113 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 33.

The spelling of 3351445020330 in words is "three trillion, three hundred fifty-one billion, four hundred forty-five million, twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 941 1210 1815 1882 2823 3630 4705 5646 9410 10351 14115 20702 28230 31053 51755 62106 103510 113861 155265 227722 310530 341583 569305 683166 981151 1138610 1707915 1962302 2943453 3415830 4905755 5886906 9811510 10792661 14717265 21585322 29434530 32377983 53963305 64755966 107926610 118719271 161889915 237438542 323779830 356157813 593596355 712315626 923263091 1187192710 1780789065 1846526182 2769789273 3561578130 4616315455 5539578546 9232630910 10155894001 13848946365 20311788002 27697892730 30467682003 50779470005 60935364006 101558940010 111714834011 152338410015 223429668022 304676820030 335144502033 558574170055 670289004066 1117148340110 1675722510165 3351445020330