Search a number
-
+
220101133302 = 23471157912119
BaseRepresentation
bin1100110011111100001…
…1001100001111110110
3210001010020010001120000
43030333003030033312
512101231342231202
6245040231052130
721621211523121
oct3147703141766
9701106101500
10220101133302
1185387396166
12367a7511046
13179a89463ab
14a91d9b13b8
155ad301a91c
hex333f0cc3f6

220101133302 has 80 divisors (see below), whose sum is σ = 500493945600. Its totient is φ = 72281931120.

The previous prime is 220101133283. The next prime is 220101133303. The reversal of 220101133302 is 203331101022.

220101133302 is a `hidden beast` number, since 220 + 1 + 0 + 113 + 330 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220101133303) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18155599 + ... + 18167717.

It is an arithmetic number, because the mean of its divisors is an integer number (6256174320).

Almost surely, 2220101133302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220101133302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250246972800).

220101133302 is an abundant number, since it is smaller than the sum of its proper divisors (280392812298).

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

220101133302 is a wasteful number, since it uses less digits than its factorization.

220101133302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13783 (or 13774 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 220101133302 its reverse (203331101022), we get a palindrome (423432234324).

The spelling of 220101133302 in words is "two hundred twenty billion, one hundred one million, one hundred thirty-three thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 426 639 1278 1579 1917 3158 3834 4737 5751 9474 11502 12119 14211 24238 28422 36357 42633 72714 85266 109071 112109 127899 218142 224218 255798 327213 336327 654426 672654 860449 981639 1008981 1720898 1963278 2017962 2581347 3026943 5162694 6053886 7744041 9080829 15488082 18161658 19135901 23232123 38271802 46464246 57407703 69696369 114815406 139392738 172223109 344446218 516669327 1033338654 1358648971 1550007981 2717297942 3100015962 4075946913 8151893826 12227840739 24455681478 36683522217 73367044434 110050566651 220101133302