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122100110020 = 22572196557471
BaseRepresentation
bin111000110110110111…
…0111101001011000100
3102200011100220020212001
41301231232331023010
54000030112010040
6132031513035044
711551516545100
oct1615556751304
9380140806761
10122100110020
1147867368939
121b7b70b5a84
13b68b313315
145ca4220900
15329954059a
hex1c6dbbd2c4

122100110020 has 72 divisors (see below), whose sum is σ = 313971759360. Its totient is φ = 39659578560.

The previous prime is 122100109981. The next prime is 122100110063. The reversal of 122100110020 is 20011001221.

It is a super-2 number, since 2×1221001100202 (a number of 23 digits) contains 22 as substring.

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 = 122100109979 and 122100110006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3260116 + ... + 3297355.

It is an arithmetic number, because the mean of its divisors is an integer number (4360718880).

Almost surely, 2122100110020 is an apocalyptic number.

122100110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100110020 is an abundant number, since it is smaller than the sum of its proper divisors (191871649340).

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

122100110020 is a wasteful number, since it uses less digits than its factorization.

122100110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6557513 (or 6557504 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122100110020 its reverse (20011001221), we get a palindrome (142111111241).

The spelling of 122100110020 in words is "one hundred twenty-two billion, one hundred million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 665 931 980 1330 1862 2660 3724 4655 9310 18620 6557471 13114942 26229884 32787355 45902297 65574710 91804594 124591949 131149420 183609188 229511485 249183898 321316079 459022970 498367796 622959745 642632158 872143643 918045940 1245919490 1285264316 1606580395 1744287286 2491838980 3213160790 3488574572 4360718215 6105005501 6426321580 8721436430 12210011002 17442872860 24420022004 30525027505 61050055010 122100110020