Search a number
-
+
32011013202220 = 22513149947872549
BaseRepresentation
bin1110100011101001001010…
…00100100010000100101100
311012100020000112211020201201
413101310211010202010230
513143432023334432340
6152025353443215244
76512501514514453
oct721644504420454
9135306015736651
1032011013202220
11a221881477758
12370bb47677524
1314b2819571210
147c94ac785b9a
153a7a2eaa279a
hex1d1d2512212c

32011013202220 has 96 divisors (see below), whose sum is σ = 72957046680000. Its totient is φ = 11727715236864.

The previous prime is 32011013202173. The next prime is 32011013202229. The reversal of 32011013202220 is 2220231011023.

It is a super-2 number, since 2×320110132022202 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32011013202229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36250506 + ... + 37123054.

It is an arithmetic number, because the mean of its divisors is an integer number (759969236250).

Almost surely, 232011013202220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32011013202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36478523340000).

32011013202220 is an abundant number, since it is smaller than the sum of its proper divisors (40946033477780).

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

32011013202220 is a wasteful number, since it uses less digits than its factorization.

32011013202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873667 (or 873665 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 32011013202220 its reverse (2220231011023), we get a palindrome (34231244213243).

The spelling of 32011013202220 in words is "thirty-two trillion, eleven billion, thirteen million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 149 260 298 596 745 947 1490 1894 1937 2980 3788 3874 4735 7748 9470 9685 12311 18940 19370 24622 38740 49244 61555 123110 141103 246220 282206 564412 705515 872549 1411030 1745098 1834339 2822060 3490196 3668678 4362745 7337356 8725490 9171695 11343137 17450980 18343390 22686274 36686780 45372548 56715685 113431370 130009801 226862740 260019602 520039204 650049005 826303903 1300098010 1652607806 1690127413 2600196020 3305215612 3380254826 4131519515 6760509652 8263039030 8450637065 10741950739 16526078060 16901274130 21483901478 33802548260 42967802956 53709753695 107419507390 123119281547 214839014780 246238563094 492477126188 615596407735 1231192815470 1600550660111 2462385630940 3201101320222 6402202640444 8002753300555 16005506601110 32011013202220