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3100201003300 = 2252179411937989
BaseRepresentation
bin101101000111010010011…
…000010010100100100100
3101222101011100010122101111
4231013102120102210210
5401243202424101200
610332113534434404
7436660604506042
oct55072230224444
911871140118344
103100201003300
11a9587370a605
12420a0b062a04
13196469b884bb
14aa09c91b392
155599b4350ba
hex2d1d2612924

3100201003300 has 72 divisors (see below), whose sum is σ = 7130741181480. Its totient is φ = 1165893580800.

The previous prime is 3100201003279. The next prime is 3100201003331. The reversal of 3100201003300 is 33001020013.

It can be written as a sum of positive squares in 12 ways, for example, as 1215956111616 + 1884244891684 = 1102704^2 + 1372678^2 .

It is a super-2 number, since 2×31002010033002 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630706 + ... + 2568694.

It is an arithmetic number, because the mean of its divisors is an integer number (99038071965).

Almost surely, 23100201003300 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 3100201003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565370590740).

3100201003300 is an abundant number, since it is smaller than the sum of its proper divisors (4030540178180).

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

3100201003300 is a wasteful number, since it uses less digits than its factorization.

3100201003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938961 (or 1938954 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 3100201003300 its reverse (33001020013), we get a palindrome (3133202023313).

The spelling of 3100201003300 in words is "three trillion, one hundred billion, two hundred one million, three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 941 1700 1882 3764 4705 9410 15997 18820 23525 31994 47050 63988 79985 94100 159970 319940 399925 799850 1599700 1937989 3875978 7751956 9689945 19379890 32945813 38759780 48449725 65891626 96899450 131783252 164729065 193798900 329458130 658916260 823645325 1647290650 1823647649 3294581300 3647295298 7294590596 9118238245 18236476490 31002010033 36472952980 45591191225 62004020066 91182382450 124008040132 155010050165 182364764900 310020100330 620040200660 775050250825 1550100501650 3100201003300