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102122221110 = 2357132337113389
BaseRepresentation
bin101111100011011110…
…1010110111000110110
3100202121001222100022120
41133012331112320312
53133121242033420
6114525253340410
710243453362030
oct1370675267066
9322531870276
10102122221110
113a345371248
1217960637706
1398263aa990
144d2ac52c50
1529ca6e0d40
hex17c6f56e36

102122221110 has 512 divisors, whose sum is σ = 326975201280. Its totient is φ = 19824279552.

The previous prime is 102122221093. The next prime is 102122221163. The reversal of 102122221110 is 11122221201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102122221110.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 262524796 + ... + 262525184.

It is an arithmetic number, because the mean of its divisors is an integer number (638623440).

Almost surely, 2102122221110 is an apocalyptic number.

102122221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163487600640).

102122221110 is an abundant number, since it is smaller than the sum of its proper divisors (224852980170).

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

102122221110 is a wasteful number, since it uses less digits than its factorization.

102122221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102122221110 its reverse (11122221201), we get a palindrome (113244442311).

Subtracting from 102122221110 its reverse (11122221201), we obtain a palindrome (90999999909).

It can be divided in two parts, 10212 and 2221110, that added together give a palindrome (2231322).

The spelling of 102122221110 in words is "one hundred two billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred ten".