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102210121220 = 22515133844411
BaseRepresentation
bin101111100110000110…
…0101010111000000100
3100202211012101010121012
41133030030222320010
53133311242334340
6114542113341352
710245601460414
oct1371414527004
9322735333535
10102210121220
113a38aa48969
1217985b67858
13983b675b8c
144d387b4644
1529d32a5565
hex17cc32ae04

102210121220 has 24 divisors (see below), whose sum is σ = 216062726208. Its totient is φ = 40613292000.

The previous prime is 102210121201. The next prime is 102210121259. The reversal of 102210121220 is 22121012201.

It is a super-3 number, since 3×1022101212203 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102210121195 and 102210121204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16919186 + ... + 16925225.

It is an arithmetic number, because the mean of its divisors is an integer number (9002613592).

Almost surely, 2102210121220 is an apocalyptic number.

102210121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210121220 is an abundant number, since it is smaller than the sum of its proper divisors (113852604988).

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

102210121220 is a wasteful number, since it uses less digits than its factorization.

102210121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33844571 (or 33844569 counting only the distinct ones).

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

Adding to 102210121220 its reverse (22121012201), we get a palindrome (124331133421).

The spelling of 102210121220 in words is "one hundred two billion, two hundred ten million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 151 302 604 755 1510 3020 33844411 67688822 135377644 169222055 338444110 676888220 5110506061 10221012122 20442024244 25552530305 51105060610 102210121220