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30323322101300 = 22521972775556877
BaseRepresentation
bin1101110010100001100101…
…10101111001111000110100
310222100212210110021021201212
412321100302311321320310
512433304130424220200
6144254201501540552
76246534122041154
oct671206265717064
9128325713237655
1030323322101300
119731059887238
123498a43274758
1313bc627c957a7
1476b929aa4764
15378ba4bc0035
hex1b9432d79e34

30323322101300 has 72 divisors (see below), whose sum is σ = 66374396001144. Its totient is φ = 12024190563840.

The previous prime is 30323322101213. The next prime is 30323322101323. The reversal of 30323322101300 is 310122332303.

It can be written as a sum of positive squares in 12 ways, for example, as 9570596075044 + 20752726026256 = 3093638^2 + 4555516^2 .

It is a congruent number.

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, 2678462 + ... + 8235338.

It is an arithmetic number, because the mean of its divisors is an integer number (921866611127).

Almost surely, 230323322101300 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 30323322101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33187198000572).

30323322101300 is an abundant number, since it is smaller than the sum of its proper divisors (36051073899844).

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

30323322101300 is a wasteful number, since it uses less digits than its factorization.

30323322101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5557365 (or 5557358 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 30323322101300 its reverse (310122332303), we get a palindrome (30633444433603).

The spelling of 30323322101300 in words is "thirty trillion, three hundred twenty-three billion, three hundred twenty-two million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 197 277 394 554 788 985 1108 1385 1970 2770 3940 4925 5540 6925 9850 13850 19700 27700 54569 109138 218276 272845 545690 1091380 1364225 2728450 5456900 5556877 11113754 22227508 27784385 55568770 111137540 138921925 277843850 555687700 1094704769 1539254929 2189409538 3078509858 4378819076 5473523845 6157019716 7696274645 10947047690 15392549290 21894095380 27367619225 30785098580 38481373225 54735238450 76962746450 109470476900 153925492900 303233221013 606466442026 1212932884052 1516166105065 3032332210130 6064664420260 7580830525325 15161661050650 30323322101300