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122102200010 = 2572961986047
BaseRepresentation
bin111000110110111011…
…0111011011011001010
3102200011111211102210002
41301231312323123022
54000031130400020
6132032025523002
711551543401260
oct1615566733312
9380144742702
10122102200010
11478685660aa
121b7b7943462
13b68b8956bb
145ca4606430
153299804975
hex1c6ddbb6ca

122102200010 has 64 divisors (see below), whose sum is σ = 264103096320. Its totient is φ = 39757374720.

The previous prime is 122102200007. The next prime is 122102200013. The reversal of 122102200010 is 10002201221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122102200007) and next prime (122102200013).

It is a junction number, because it is equal to n+sod(n) for n = 122102199964 and 122102200000.

It is not an unprimeable number, because it can be changed into a prime (122102200013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369194 + ... + 616853.

It is an arithmetic number, because the mean of its divisors is an integer number (4126610880).

Almost surely, 2122102200010 is an apocalyptic number.

122102200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122102200010 is an abundant number, since it is smaller than the sum of its proper divisors (142000896310).

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

122102200010 is a wasteful number, since it uses less digits than its factorization.

122102200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986151.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122102200010 its reverse (10002201221), we get a palindrome (132104401231).

The spelling of 122102200010 in words is "one hundred twenty-two billion, one hundred two million, two hundred thousand, ten".

Divisors: 1 2 5 7 10 14 29 35 58 61 70 122 145 203 290 305 406 427 610 854 1015 1769 2030 2135 3538 4270 8845 12383 17690 24766 61915 123830 986047 1972094 4930235 6902329 9860470 13804658 28595363 34511645 57190726 60148867 69023290 120297734 142976815 200167541 285953630 300744335 400335082 421042069 601488670 842084138 1000837705 1744317143 2001675410 2105210345 3488634286 4210420690 8721585715 12210220001 17443171430 24420440002 61051100005 122102200010