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100001220220 = 225112333015987
BaseRepresentation
bin101110100100010001…
…0011000011001111100
3100120010020221100002001
41131020202120121330
53114300303021340
6113535005112044
710140060226666
oct1351042303174
9316106840061
10100001220220
1139457099950
121746a258624
139578b48c75
144ba929b536
1529043cb29a
hex174889867c

100001220220 has 96 divisors (see below), whose sum is σ = 239166660096. Its totient is φ = 34766688000.

The previous prime is 100001220181. The next prime is 100001220233. The reversal of 100001220220 is 22022100001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100001220197 and 100001220206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16700067 + ... + 16706053.

It is an arithmetic number, because the mean of its divisors is an integer number (2491319376).

Almost surely, 2100001220220 is an apocalyptic number.

100001220220 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 100001220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119583330048).

100001220220 is an abundant number, since it is smaller than the sum of its proper divisors (139165439876).

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

100001220220 is a wasteful number, since it uses less digits than its factorization.

100001220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9331 (or 9329 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100001220220 its reverse (22022100001), we get a palindrome (122023320221).

The spelling of 100001220220 in words is "one hundred billion, one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 3301 5060 5987 6602 11974 13204 16505 23948 29935 33010 36311 59870 65857 66020 72622 75923 119740 131714 137701 145244 151846 181555 263428 275402 303692 329285 363110 379615 550804 658570 688505 726220 759230 835153 1317140 1377010 1514711 1518460 1670306 2754020 3029422 3340612 4175765 6058844 7573555 8351530 15147110 16703060 19763087 30294220 39526174 79052348 98815435 197630870 217393957 395261740 434787914 454551001 869575828 909102002 1086969785 1818204004 2173939570 2272755005 4347879140 4545510010 5000061011 9091020020 10000122022 20000244044 25000305055 50000610110 100001220220