Search a number
-
+
101213232220 = 225411032295233
BaseRepresentation
bin101111001000011000…
…1110101110001011100
3100200020201112220222101
41132100301311301130
53124241041412340
6114255142454444
710212105164452
oct1362061656134
9320221486871
10101213232220
1139a1925a461
1217748134424
13970cc87a29
144c822369d2
1529759dac9a
hex1790c75c5c

101213232220 has 96 divisors (see below), whose sum is σ = 220848001920. Its totient is φ = 38936125440.

The previous prime is 101213232217. The next prime is 101213232247. The reversal of 101213232220 is 22232312101.

It is a super-2 number, since 2×1012132322202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19338724 + ... + 19343956.

It is an arithmetic number, because the mean of its divisors is an integer number (2300500020).

Almost surely, 2101213232220 is an apocalyptic number.

101213232220 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 101213232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110424000960).

101213232220 is an abundant number, since it is smaller than the sum of its proper divisors (119634769700).

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

101213232220 is a wasteful number, since it uses less digits than its factorization.

101213232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5615 (or 5613 counting only the distinct ones).

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

Adding to 101213232220 its reverse (22232312101), we get a palindrome (123445544321).

The spelling of 101213232220 in words is "one hundred one billion, two hundred thirteen million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 103 164 205 206 229 410 412 458 515 820 916 1030 1145 2060 2290 4223 4580 5233 8446 9389 10466 16892 18778 20932 21115 23587 26165 37556 42230 46945 47174 52330 84460 93890 94348 104660 117935 187780 214553 235870 429106 471740 538999 858212 967067 1072765 1077998 1198357 1934134 2145530 2155996 2396714 2694995 3868268 4291060 4793428 4835335 5389990 5991785 9670670 10779980 11983570 19341340 22098959 23967140 44197918 49132637 88395836 98265274 110494795 123430771 196530548 220989590 245663185 246861542 441979180 491326370 493723084 617153855 982652740 1234307710 2468615420 5060661611 10121323222 20242646444 25303308055 50606616110 101213232220