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101212212200 = 235211397115883
BaseRepresentation
bin101111001000010110…
…1111100101111101000
3100200020122122002202212
41132100231330233220
53124240311242300
6114255104544252
710212063415601
oct1362055745750
9320218562685
10101212212200
1139a18723070
1217747922088
13970c9bb678
144c8204cda8
152975888935
hex1790b7cbe8

101212212200 has 96 divisors (see below), whose sum is σ = 257359822560. Its totient is φ = 36711417600.

The previous prime is 101212212191. The next prime is 101212212221. The reversal of 101212212200 is 2212212101.

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, 815459 + ... + 931341.

It is an arithmetic number, because the mean of its divisors is an integer number (2680831485).

Almost surely, 2101212212200 is an apocalyptic number.

101212212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101212212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128679911280).

101212212200 is an abundant number, since it is smaller than the sum of its proper divisors (156147610360).

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

101212212200 is a wasteful number, since it uses less digits than its factorization.

101212212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116307 (or 116298 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101212212200 its reverse (2212212101), we get a palindrome (103424424301).

Subtracting from 101212212200 its reverse (2212212101), we obtain a palindrome (99000000099).

The spelling of 101212212200 in words is "one hundred one billion, two hundred twelve million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 397 440 550 794 1100 1588 1985 2200 3176 3970 4367 7940 8734 9925 15880 17468 19850 21835 34936 39700 43670 79400 87340 109175 115883 174680 218350 231766 436700 463532 579415 873400 927064 1158830 1274713 2317660 2549426 2897075 4635320 5098852 5794150 6373565 10197704 11588300 12747130 23176600 25494260 31867825 46005551 50988520 63735650 92011102 127471300 184022204 230027755 254942600 368044408 460055510 506061061 920111020 1012122122 1150138775 1840222040 2024244244 2300277550 2530305305 4048488488 4600555100 5060610610 9201110200 10121221220 12651526525 20242442440 25303053050 50606106100 101212212200