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13221341370 = 23351011313701
BaseRepresentation
bin11000101000000110…
…11010100010111010
31021010102021201202000
430110003122202322
5204034130410440
610023535121430
7645431355516
oct142403324272
937112251660
1013221341370
115675114506
12268b973276
1313291bbb23
148d5d05146
15525ac4730
hex3140da8ba

13221341370 has 128 divisors (see below), whose sum is σ = 35887484160. Its totient is φ = 3463200000.

The previous prime is 13221341369. The next prime is 13221341389. The reversal of 13221341370 is 7314312231.

It is a happy number.

13221341370 is a `hidden beast` number, since 1 + 32 + 213 + 413 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3570520 + ... + 3574220.

It is an arithmetic number, because the mean of its divisors is an integer number (280370970).

Almost surely, 213221341370 is an apocalyptic number.

13221341370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221341370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17943742080).

13221341370 is an abundant number, since it is smaller than the sum of its proper divisors (22666142790).

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

13221341370 is a wasteful number, since it uses less digits than its factorization.

13221341370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 13221341370 in words is "thirteen billion, two hundred twenty-one million, three hundred forty-one thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 131 135 202 262 270 303 393 505 606 655 786 909 1010 1179 1310 1515 1818 1965 2358 2727 3030 3537 3701 3930 4545 5454 5895 7074 7402 9090 11103 11790 13231 13635 17685 18505 22206 26462 27270 33309 35370 37010 39693 55515 66155 66618 79386 99927 111030 119079 132310 166545 198465 199854 238158 333090 357237 373801 396930 484831 499635 595395 714474 747602 969662 999270 1121403 1190790 1454493 1786185 1869005 2242806 2424155 2908986 3364209 3572370 3738010 4363479 4848310 5607015 6728418 7272465 8726958 10092627 11214030 13090437 14544930 16821045 20185254 21817395 26180874 33642090 43634790 48967931 50463135 65452185 97935862 100926270 130904370 146903793 244839655 293807586 440711379 489679310 734518965 881422758 1322134137 1469037930 2203556895 2644268274 4407113790 6610670685 13221341370