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13021202180 = 2257231538087
BaseRepresentation
bin11000010000001111…
…11100011100000100
31020121110200121101102
430020013330130010
5203131411432210
65552025315232
7640451251400
oct141007743404
936543617342
1013021202180
115582146a18
122634935b18
1312c68b637c
148b74c8100
1551323dea5
hex3081fc704

13021202180 has 144 divisors (see below), whose sum is σ = 33458697216. Its totient is φ = 4238357760.

The previous prime is 13021202147. The next prime is 13021202263. The reversal of 13021202180 is 8120212031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1606097 + ... + 1614183.

It is an arithmetic number, because the mean of its divisors is an integer number (232352064).

Almost surely, 213021202180 is an apocalyptic number.

13021202180 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 13021202180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16729348608).

13021202180 is an abundant number, since it is smaller than the sum of its proper divisors (20437495036).

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

13021202180 is a wasteful number, since it uses less digits than its factorization.

13021202180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8194 (or 8185 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The spelling of 13021202180 in words is "thirteen billion, twenty-one million, two hundred two thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 53 62 70 98 106 124 140 155 196 212 217 245 265 310 371 434 490 530 620 742 868 980 1060 1085 1484 1519 1643 1855 2170 2597 3038 3286 3710 4340 5194 6076 6572 7420 7595 8087 8215 10388 11501 12985 15190 16174 16430 23002 25970 30380 32348 32860 40435 46004 51940 56609 57505 80507 80870 113218 115010 161014 161740 226436 230020 250697 283045 322028 396263 402535 428611 501394 566090 792526 805070 857222 1002788 1132180 1253485 1585052 1610140 1714444 1754879 1981315 2143055 2506970 3000277 3509758 3962630 4286110 5013940 6000554 7019516 7925260 8572220 8774395 12001108 12284153 13286941 15001385 17548790 21001939 24568306 26573882 30002770 35097580 42003878 49136612 53147764 60005540 61420765 66434705 84007756 93008587 105009695 122841530 132869410 186017174 210019390 245683060 265738820 372034348 420038780 465042935 651060109 930085870 1302120218 1860171740 2604240436 3255300545 6510601090 13021202180