Search a number
-
+
13220122020 = 22357130724083
BaseRepresentation
bin11000100111111101…
…10000110110100100
31021010022222210002220
430103332300312210
5204033322401040
610023453032340
7645415116540
oct142376606644
937108883086
1013220122020
115674461386
12268b4856b0
131328b82b11
148d5aa8a20
155259332d0
hex313fb0da4

13220122020 has 96 divisors (see below), whose sum is σ = 42338515968. Its totient is φ = 3019304832.

The previous prime is 13220122001. The next prime is 13220122031. The reversal of 13220122020 is 2022102231.

It is a happy number.

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

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, 536899 + ... + 560981.

It is an arithmetic number, because the mean of its divisors is an integer number (441026208).

Almost surely, 213220122020 is an apocalyptic number.

13220122020 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 13220122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21169257984).

13220122020 is an abundant number, since it is smaller than the sum of its proper divisors (29118393948).

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

13220122020 is a wasteful number, since it uses less digits than its factorization.

13220122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25409 (or 25407 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 13220122020 its reverse (2022102231), we get a palindrome (15242224251).

The spelling of 13220122020 in words is "thirteen billion, two hundred twenty million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1307 2614 3921 5228 6535 7842 9149 13070 15684 18298 19605 24083 26140 27447 36596 39210 45745 48166 54894 72249 78420 91490 96332 109788 120415 137235 144498 168581 182980 240830 274470 288996 337162 361245 481660 505743 548940 674324 722490 842905 1011486 1444980 1685810 2022972 2528715 3371620 5057430 10114860 31476481 62952962 94429443 125905924 157382405 188858886 220335367 314764810 377717772 440670734 472147215 629529620 661006101 881341468 944294430 1101676835 1322012202 1888588860 2203353670 2644024404 3305030505 4406707340 6610061010 13220122020