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13214821060 = 2257436133581
BaseRepresentation
bin11000100111010101…
…00010101011000100
31021002222000110120001
430103222202223010
5204030443233220
610023143251044
7645322061050
oct142352425304
937088013501
1013214821060
115671470721
122689749a84
131327a4805c
148d50c8c60
1552523780a
hex313aa2ac4

13214821060 has 96 divisors (see below), whose sum is σ = 32515160832. Its totient is φ = 4416975360.

The previous prime is 13214820991. The next prime is 13214821079. The reversal of 13214821060 is 6012841231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3688470 + ... + 3692050.

It is an arithmetic number, because the mean of its divisors is an integer number (338699592).

Almost surely, 213214821060 is an apocalyptic number.

13214821060 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 13214821060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257580416).

13214821060 is an abundant number, since it is smaller than the sum of its proper divisors (19300339772).

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

13214821060 is a wasteful number, since it uses less digits than its factorization.

13214821060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 13214821060 in words is "thirteen billion, two hundred fourteen million, eight hundred twenty-one thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 613 860 1204 1226 1505 2452 3010 3065 3581 4291 6020 6130 7162 8582 12260 14324 17164 17905 21455 25067 26359 35810 42910 50134 52718 71620 85820 100268 105436 125335 131795 153983 184513 250670 263590 307966 369026 501340 527180 615932 738052 769915 922565 1077881 1539830 1845130 2155762 2195153 3079660 3690260 4311524 4390306 5389405 8780612 10778810 10975765 15366071 21557620 21951530 30732142 43903060 61464284 76830355 94391579 153660710 188783158 307321420 377566316 471957895 660741053 943915790 1321482106 1887831580 2642964212 3303705265 6607410530 13214821060