Search a number
-
+
3100222010320 = 245761177728657
BaseRepresentation
bin101101000111010011101…
…000011011001111010000
3101222101012210122220121021
4231013103220123033100
5401243223313312240
610332120005005224
7436661251201021
oct55072350331720
911871183586537
103100222010320
11a95884558486
12420a160b3814
131964713320a6
14aa0a1628c48
155599d1d454a
hex2d1d3a1b3d0

3100222010320 has 80 divisors (see below), whose sum is σ = 7221801556368. Its totient is φ = 1237719121920.

The previous prime is 3100222010317. The next prime is 3100222010377. The reversal of 3100222010320 is 230102220013.

3100222010320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 975495979584 + 2124726030736 = 987672^2 + 1457644^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×31002220103202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3100222010294 and 3100222010303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108169432 + ... + 108198088.

Almost surely, 23100222010320 is an apocalyptic number.

It is an amenable number.

3100222010320 is an abundant number, since it is smaller than the sum of its proper divisors (4121579546048).

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

3100222010320 is a wasteful number, since it uses less digits than its factorization.

3100222010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31208 (or 31202 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 3100222010320 its reverse (230102220013), we get a palindrome (3330324230333).

The spelling of 3100222010320 in words is "three trillion, one hundred billion, two hundred twenty-two million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 761 1522 1777 3044 3554 3805 6088 7108 7610 8885 12176 14216 15220 17770 28432 28657 30440 35540 57314 60880 71080 114628 142160 143285 229256 286570 458512 573140 1146280 1352297 2292560 2704594 5409188 6761485 10818376 13522970 21636752 21807977 27045940 43615954 50923489 54091880 87231908 101846978 108183760 109039885 174463816 203693956 218079770 254617445 348927632 407387912 436159540 509234890 814775824 872319080 1018469780 1744638160 2036939560 4073879120 38752775129 77505550258 155011100516 193763875645 310022201032 387527751290 620044402064 775055502580 1550111005160 3100222010320