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103330030102020 = 22325896450064301
BaseRepresentation
bin10111011111101001100101…
…101111010010011000000100
3111112212020212110110002001200
4113133221211233102120010
5102020424400201231040
61003433054400422500
730523230321032601
oct2737514557223004
9445766773402050
10103330030102020
112aa19024203287
12b70a076017a30
134586c98179087
141b732b328d6a8
15be2cb7c95630
hex5dfa65bd2604

103330030102020 has 72 divisors (see below), whose sum is σ = 316956159800280. Its totient is φ = 27245071603200.

The previous prime is 103330030101989. The next prime is 103330030102081. The reversal of 103330030102020 is 20201030033301.

103330030102020 is a `hidden beast` number, since 10 + 3 + 330 + 0 + 301 + 0 + 2 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3226643393796 + 100103386708224 = 1796286^2 + 10005168^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103330030101984 and 103330030102002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3225016131 + ... + 3225048170.

It is an arithmetic number, because the mean of its divisors is an integer number (4402168886115).

Almost surely, 2103330030102020 is an apocalyptic number.

103330030102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103330030102020 is an abundant number, since it is smaller than the sum of its proper divisors (213626129698260).

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

103330030102020 is a wasteful number, since it uses less digits than its factorization.

103330030102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6450064405 (or 6450064400 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103330030102020 its reverse (20201030033301), we get a palindrome (123531060135321).

The spelling of 103330030102020 in words is "one hundred three trillion, three hundred thirty billion, thirty million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1335 1602 1780 2670 3204 4005 5340 8010 16020 6450064301 12900128602 19350192903 25800257204 32250321505 38700385806 58050578709 64500643010 77400771612 96750964515 116101157418 129001286020 193501929030 232202314836 290252893545 387003858060 574055722789 580505787090 1148111445578 1161011574180 1722167168367 2296222891156 2870278613945 3444334336734 5166501505101 5740557227890 6888668673468 8610835841835 10333003010202 11481114455780 17221671683670 20666006020404 25832507525505 34443343367340 51665015051010 103330030102020