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13210121320 = 23511173535003
BaseRepresentation
bin11000100110110001…
…00111010001101000
31021002122011200201121
430103120213101220
5204023242340240
610022454425024
7645234115144
oct142330472150
937078150647
1013210121320
115669850740
122688062174
131326a90b46
148d4624224
15524b0a04a
hex313627468

13210121320 has 128 divisors (see below), whose sum is σ = 34436327040. Its totient is φ = 4507402240.

The previous prime is 13210121293. The next prime is 13210121329. The reversal of 13210121320 is 2312101231.

It is a junction number, because it is equal to n+sod(n) for n = 13210121294 and 13210121303.

It is not an unprimeable number, because it can be changed into a prime (13210121329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2637939 + ... + 2642941.

It is an arithmetic number, because the mean of its divisors is an integer number (269033805).

Almost surely, 213210121320 is an apocalyptic number.

13210121320 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 13210121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17218163520).

13210121320 is an abundant number, since it is smaller than the sum of its proper divisors (21226205720).

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

13210121320 is a wasteful number, since it uses less digits than its factorization.

13210121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5395 (or 5391 counting only the distinct ones).

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

Adding to 13210121320 its reverse (2312101231), we get a palindrome (15522222551).

The spelling of 13210121320 in words is "thirteen billion, two hundred ten million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 353 374 440 680 706 748 935 1412 1496 1765 1870 2824 3530 3740 3883 5003 6001 7060 7480 7766 10006 12002 14120 15532 19415 20012 24004 25015 30005 31064 38830 40024 48008 50030 55033 60010 66011 77660 85051 100060 110066 120020 132022 155320 170102 200120 220132 240040 264044 275165 330055 340204 425255 440264 528088 550330 660110 680408 850510 935561 1100660 1320220 1701020 1766059 1871122 2201320 2640440 3402040 3532118 3742244 4677805 7064236 7484488 8830295 9355610 14128472 17660590 18711220 19426649 30023003 35321180 37422440 38853298 60046006 70642360 77706596 97133245 120092012 150115015 155413192 194266490 240184024 300230030 330253033 388532980 600460060 660506066 777065960 1200920120 1321012132 1651265165 2642024264 3302530330 6605060660 13210121320