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122100112010 = 25172924766757
BaseRepresentation
bin111000110110110111…
…0111101101010001010
3102200011100220100120202
41301231232331222022
54000030112041020
6132031513052202
711551516553642
oct1615556755212
9380140810522
10122100112010
114786736a388
121b7b70b7062
13b68b3141b6
145ca4221522
153299540e75
hex1c6dbbda8a

122100112010 has 32 divisors (see below), whose sum is σ = 240732887760. Its totient is φ = 44382026752.

The previous prime is 122100112009. The next prime is 122100112067. The reversal of 122100112010 is 10211001221.

It can be written as a sum of positive squares in 8 ways, for example, as 105049236769 + 17050875241 = 324113^2 + 130579^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122100111982 and 122100112000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12378449 + ... + 12388308.

Almost surely, 2122100112010 is an apocalyptic number.

122100112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122100112010 is a deficient number, since it is larger than the sum of its proper divisors (118632775750).

122100112010 is a wasteful number, since it uses less digits than its factorization.

122100112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24766810.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122100112010 its reverse (10211001221), we get a palindrome (132311113231).

The spelling of 122100112010 in words is "one hundred twenty-two billion, one hundred million, one hundred twelve thousand, ten".

Divisors: 1 2 5 10 17 29 34 58 85 145 170 290 493 986 2465 4930 24766757 49533514 123833785 247667570 421034869 718235953 842069738 1436471906 2105174345 3591179765 4210348690 7182359530 12210011201 24420022402 61050056005 122100112010