Search a number
-
+
13220120130 = 2357225033593
BaseRepresentation
bin11000100111111101…
…10000011001000010
31021010022222200111220
430103332300121002
5204033322321010
610023453015510
7645415111200
oct142376603102
937108880456
1013220120130
11567445aa18
12268b484596
131328b81cb9
148d5aa8070
15525932970
hex313fb0642

13220120130 has 96 divisors (see below), whose sum is σ = 36933439104. Its totient is φ = 3019693824.

The previous prime is 13220120107. The next prime is 13220120131. The reversal of 13220120130 is 3102102231.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13220120131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3677614 + ... + 3681206.

It is an arithmetic number, because the mean of its divisors is an integer number (384723324).

Almost surely, 213220120130 is an apocalyptic number.

13220120130 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 13220120130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18466719552).

13220120130 is an abundant number, since it is smaller than the sum of its proper divisors (23713318974).

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

13220120130 is a wasteful number, since it uses less digits than its factorization.

13220120130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120 (or 6113 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13220120130 its reverse (3102102231), we get a palindrome (16322222361).

The spelling of 13220120130 in words is "thirteen billion, two hundred twenty million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 2503 3593 5006 7186 7509 10779 12515 15018 17521 17965 21558 25030 25151 35042 35930 37545 50302 52563 53895 75090 75453 87605 105126 107790 122647 125755 150906 175210 176057 245294 251510 262815 352114 367941 377265 525630 528171 613235 735882 754530 880285 1056342 1226470 1760570 1839705 2640855 3679410 5281710 8993279 17986558 26979837 44966395 53959674 62952953 89932790 125905906 134899185 188858859 269798370 314764765 377717718 440670671 629529530 881341342 944294295 1322012013 1888588590 2203353355 2644024026 4406706710 6610060065 13220120130