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12213110320 = 2451923933619
BaseRepresentation
bin10110101111111010…
…10100011000110000
31011112011010021202021
423113331110120300
5200003024012240
65335521201224
7611436503425
oct132775243060
934464107667
1012213110320
1151a7a89604
12244a190214
1311c835c2c8
1483c053d4c
154b731954a
hex2d7f54630

12213110320 has 80 divisors (see below), whose sum is σ = 30015936000. Its totient is φ = 4608624384.

The previous prime is 12213110311. The next prime is 12213110323. The reversal of 12213110320 is 2301131221.

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

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 = 12213110294 and 12213110303.

It is not an unprimeable number, because it can be changed into a prime (12213110323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346471 + ... + 380089.

It is an arithmetic number, because the mean of its divisors is an integer number (375199200).

Almost surely, 212213110320 is an apocalyptic number.

12213110320 is a gapful number since it is divisible by the number (10) 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 12213110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15007968000).

12213110320 is an abundant number, since it is smaller than the sum of its proper divisors (17802825680).

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

12213110320 is a wasteful number, since it uses less digits than its factorization.

12213110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33890 (or 33884 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12213110320 its reverse (2301131221), we get a palindrome (14514241541).

The spelling of 12213110320 in words is "twelve billion, two hundred thirteen million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 239 304 380 478 760 956 1195 1520 1912 2390 3824 4541 4780 9082 9560 18164 19120 22705 33619 36328 45410 67238 72656 90820 134476 168095 181640 268952 336190 363280 537904 638761 672380 1277522 1344760 2555044 2689520 3193805 5110088 6387610 8034941 10220176 12775220 16069882 25550440 32139764 40174705 51100880 64279528 80349410 128559056 152663879 160698820 305327758 321397640 610655516 642795280 763319395 1221311032 1526638790 2442622064 3053277580 6106555160 12213110320