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300012223100 = 2252231734991511
BaseRepresentation
bin1000101110110100001…
…11110011101001111100
31001200101100221000200112
410113122013303221330
514403411112114400
6345453531045152
730450403551242
oct4273207635174
91050340830615
10300012223100
11106264095737
124a1895a07b8
13223a251b305
1410740a04792
157c0d7c5835
hex45da1f3a7c

300012223100 has 144 divisors (see below), whose sum is σ = 685081152000. Its totient is φ = 113819692800.

The previous prime is 300012223079. The next prime is 300012223103. The reversal of 300012223100 is 1322210003.

It is a happy number.

It is a super-2 number, since 2×3000122231002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300012223103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198551345 + ... + 198552855.

It is an arithmetic number, because the mean of its divisors is an integer number (4757508000).

Almost surely, 2300012223100 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 300012223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342540576000).

300012223100 is an abundant number, since it is smaller than the sum of its proper divisors (385068928900).

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

300012223100 is a wasteful number, since it uses less digits than its factorization.

300012223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 300012223100 its reverse (1322210003), we get a palindrome (301334433103).

The spelling of 300012223100 in words is "three hundred billion, twelve million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 173 230 346 460 499 575 692 865 998 1150 1511 1730 1996 2300 2495 3022 3460 3979 4325 4990 6044 7555 7958 8650 9980 11477 12475 15110 15916 17300 19895 22954 24950 30220 34753 37775 39790 45908 49900 57385 69506 75550 79580 86327 99475 114770 139012 151100 172654 173765 198950 229540 261403 286925 345308 347530 397900 431635 522806 573850 695060 753989 863270 868825 1045612 1147700 1307015 1507978 1726540 1737650 1985521 2158175 2614030 3015956 3475300 3769945 3971042 4316350 5228060 6012269 6535075 7539890 7942084 8632700 9927605 12024538 13070150 15079780 17341747 18849725 19855210 24049076 26140300 30061345 34683494 37699450 39710420 49638025 60122690 69366988 75398900 86708735 99276050 120245380 130440097 150306725 173417470 198552100 260880194 300613450 346834940 433543675 521760388 601226900 652200485 867087350 1304400970 1734174700 2608801940 3000122231 3261002425 6000244462 6522004850 12000488924 13044009700 15000611155 30001222310 60002444620 75003055775 150006111550 300012223100