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13220212110 = 2357374014243
BaseRepresentation
bin11000100111111110…
…00110110110001110
31021010100011100200120
430103333012312032
5204033333241420
610023455005410
7645415643310
oct142377066616
937110140616
1013220212110
115674513036
12268b509866
131328bb4b21
148d5acd7b0
1552594ed40
hex313fc6d8e

13220212110 has 128 divisors (see below), whose sum is σ = 37342854144. Its totient is φ = 2932070400.

The previous prime is 13220212079. The next prime is 13220212121. The reversal of 13220212110 is 1121202231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13220212110.

It is a congruent number.

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, 3113649 + ... + 3117891.

It is an arithmetic number, because the mean of its divisors is an integer number (291741048).

Almost surely, 213220212110 is an apocalyptic number.

13220212110 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 13220212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18671427072).

13220212110 is an abundant number, since it is smaller than the sum of its proper divisors (24122642034).

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

13220212110 is a wasteful number, since it uses less digits than its factorization.

13220212110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13220212110 its reverse (1121202231), we get a palindrome (14341414341).

The spelling of 13220212110 in words is "thirteen billion, two hundred twenty million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 401 518 555 777 802 1110 1203 1295 1554 2005 2406 2590 2807 3885 4010 4243 5614 6015 7770 8421 8486 12030 12729 14035 14837 16842 21215 25458 28070 29674 29701 42105 42430 44511 59402 63645 74185 84210 89022 89103 103859 127290 148370 148505 156991 178206 207718 222555 297010 311577 313982 445110 445515 470973 519295 623154 784955 891030 941946 1038590 1098937 1557885 1569910 1701443 2197874 2354865 3115770 3296811 3402886 4709730 5104329 5494685 6593622 8507215 10208658 10989370 11910101 16484055 17014430 23820202 25521645 32968110 35730303 51043290 59550505 62953391 71460606 119101010 125906782 178651515 188860173 314766955 357303030 377720346 440673737 629533910 881347474 944300865 1322021211 1888601730 2203368685 2644042422 4406737370 6610106055 13220212110