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13122110300 = 22521314896779
BaseRepresentation
bin11000011100010001…
…11000001101011100
31020212111120021022012
430032020320031130
5203333230012200
610010032210352
7643115045225
oct141610701534
936774507265
1013122110300
1156240a8762
1226626999b8
131311787310
148c6a7424c
1551c022a35
hex30e23835c

13122110300 has 72 divisors (see below), whose sum is σ = 30690483600. Its totient is φ = 4841118720.

The previous prime is 13122110293. The next prime is 13122110303. The reversal of 13122110300 is 301122131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122110303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1932311 + ... + 1939089.

Almost surely, 213122110300 is an apocalyptic number.

13122110300 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 13122110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15345241800).

13122110300 is an abundant number, since it is smaller than the sum of its proper divisors (17568373300).

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

13122110300 is a wasteful number, since it uses less digits than its factorization.

13122110300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8295 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13122110300 its reverse (301122131), we get a palindrome (13423232431).

The spelling of 13122110300 in words is "thirteen billion, one hundred twenty-two million, one hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1489 2978 5956 6779 7445 13558 14890 19357 27116 29780 33895 37225 38714 67790 74450 77428 88127 96785 135580 148900 169475 176254 193570 338950 352508 387140 440635 483925 677900 881270 967850 1762540 1935700 2203175 4406350 8812700 10093931 20187862 40375724 50469655 100939310 131221103 201878620 252348275 262442206 504696550 524884412 656105515 1009393100 1312211030 2624422060 3280527575 6561055150 13122110300