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100100110121220 = 2235111011501651817
BaseRepresentation
bin10110110000101001011111…
…100000010111100100000100
3111010102110212210011121110010
4112300221133200113210010
5101110020011142334340
6552521204502030220
730040665021135666
oct2660513740274404
9433373783147403
10100100110121220
1129993244616a50
12b2880a4418370
1343b1527700c71
141aa0c2a73a536
15b88c7850cb80
hex5b0a5f817904

100100110121220 has 96 divisors (see below), whose sum is σ = 308787666638976. Its totient is φ = 24026429056000.

The previous prime is 100100110121131. The next prime is 100100110121233. The reversal of 100100110121220 is 22121011001001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100100110121196 and 100100110121205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750759249 + ... + 750892568.

It is an arithmetic number, because the mean of its divisors is an integer number (3216538194156).

Almost surely, 2100100110121220 is an apocalyptic number.

100100110121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100110121220 is an abundant number, since it is smaller than the sum of its proper divisors (208687556517756).

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

100100110121220 is a wasteful number, since it uses less digits than its factorization.

100100110121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501651941 (or 1501651939 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100100110121220 its reverse (22121011001001), we get a palindrome (122221121122221).

The spelling of 100100110121220 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 66660 1501651817 3003303634 4504955451 6006607268 7508259085 9009910902 15016518170 16518169987 18019821804 22524777255 30033036340 33036339974 45049554510 49554509961 66072679948 82590849935 90099109020 99109019922 151666833517 165181699870 198218039844 247772549805 303333667034 330363399740 455000500551 495545099610 606667334068 758334167585 910001001102 991090199220 1516668335170 1668335168687 1820002002204 2275002502755 3033336670340 3336670337374 4550005005510 5005005506061 6673340674748 8341675843435 9100010011020 10010011012122 16683351686870 20020022024244 25025027530305 33366703373740 50050055060610 100100110121220