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102221211330 = 23357231475303
BaseRepresentation
bin101111100110011011…
…0111110011011000010
3100202211222020120101000
41133030312332123002
53133322112230310
6114543151152430
710246064650200
oct1371466763302
9322758216330
10102221211330
113a396233047
1217989815716
139840a59984
144d3a060070
1529d42464c0
hex17ccdbe6c2

102221211330 has 384 divisors, whose sum is σ = 334350581760. Its totient is φ = 22125882240.

The previous prime is 102221211329. The next prime is 102221211331. The reversal of 102221211330 is 33112122201.

102221211330 is a `hidden beast` number, since 102 + 2 + 21 + 211 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (102221211329) and next prime (102221211331).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102221211331) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19273459 + ... + 19278761.

It is an arithmetic number, because the mean of its divisors is an integer number (870704640).

Almost surely, 2102221211330 is an apocalyptic number.

102221211330 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 102221211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167175290880).

102221211330 is an abundant number, since it is smaller than the sum of its proper divisors (232129370430).

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

102221211330 is a wasteful number, since it uses less digits than its factorization.

102221211330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5411 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102221211330 its reverse (33112122201), we get a palindrome (135333333531).

The spelling of 102221211330 in words is "one hundred two billion, two hundred twenty-one million, two hundred eleven thousand, three hundred thirty".