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102122202012 = 22393720994327
BaseRepresentation
bin101111100011011110…
…1010010001110011100
3100202121001221101010020
41133012331102032130
53133121240431022
6114525253112140
710243453252245
oct1370675221634
9322531841106
10102122202012
113a345358966
1217960628650
1398263a208c
144d2ac49ccc
1529ca6da35c
hex17c6f5239c

102122202012 has 48 divisors (see below), whose sum is σ = 238708243200. Its totient is φ = 33980349312.

The previous prime is 102122201969. The next prime is 102122202019. The reversal of 102122202012 is 210202221201.

It is a junction number, because it is equal to n+sod(n) for n = 102122201982 and 102122202000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122202019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23598993 + ... + 23603319.

It is an arithmetic number, because the mean of its divisors is an integer number (4973088400).

Almost surely, 2102122202012 is an apocalyptic number.

102122202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102122202012 is an abundant number, since it is smaller than the sum of its proper divisors (136586041188).

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

102122202012 is a wasteful number, since it uses less digits than its factorization.

102122202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7370 (or 7368 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102122202012 its reverse (210202221201), we get a palindrome (312324423213).

The spelling of 102122202012 in words is "one hundred two billion, one hundred twenty-two million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 937 1874 2099 2811 3748 4198 4327 5622 6297 8396 8654 11244 12594 12981 17308 25188 25962 51924 1966763 3933526 4054399 5900289 7867052 8108798 9082373 11800578 12163197 16217596 18164746 23601156 24326394 27247119 36329492 48652788 54494238 108988476 8510183501 17020367002 25530550503 34040734004 51061101006 102122202012