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210103301320 = 23511318121803
BaseRepresentation
bin1100001110101100100…
…0011111010011001000
3202002022110102120101121
43003223020133103020
511420242421120240
6240304202525024
721115361410663
oct3035310372310
9662273376347
10210103301320
1181116922000
1234877206774
1316a74537993
14a251c546da
1556ea43a04a
hex30eb21f4c8

210103301320 has 128 divisors (see below), whose sum is σ = 522866897280. Its totient is φ = 75975609600.

The previous prime is 210103301293. The next prime is 210103301327. The reversal of 210103301320 is 23103301012.

210103301320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 210103301294 and 210103301303.

It is not an unprimeable number, because it can be changed into a prime (210103301327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9625539 + ... + 9647341.

It is an arithmetic number, because the mean of its divisors is an integer number (4084897635).

Almost surely, 2210103301320 is an apocalyptic number.

210103301320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210103301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261433448640).

210103301320 is an abundant number, since it is smaller than the sum of its proper divisors (312763595960).

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

210103301320 is a wasteful number, since it uses less digits than its factorization.

210103301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22028 (or 22002 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 210103301320 its reverse (23103301012), we get a palindrome (233206602332).

The spelling of 210103301320 in words is "two hundred ten billion, one hundred three million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 181 220 242 362 440 484 605 724 905 968 1210 1331 1448 1810 1991 2420 2662 3620 3982 4840 5324 6655 7240 7964 9955 10648 13310 15928 19910 21803 21901 26620 39820 43606 43802 53240 79640 87212 87604 109015 109505 174424 175208 218030 219010 239833 240911 436060 438020 479666 481822 872120 876040 959332 963644 1199165 1204555 1918664 1927288 2398330 2409110 2638163 3946343 4796660 4818220 5276326 7892686 9593320 9636440 10552652 13190815 15785372 19731715 21105304 26381630 29019793 31570744 39463430 43409773 52763260 58039586 78926860 86819546 105526520 116079172 145098965 157853720 173639092 217048865 232158344 290197930 347278184 434097730 477507503 580395860 868195460 955015006 1160791720 1736390920 1910030012 2387537515 3820060024 4775075030 5252582533 9550150060 10505165066 19100300120 21010330132 26262912665 42020660264 52525825330 105051650660 210103301320