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10224410130 = 23251117976263
BaseRepresentation
bin10011000010110110…
…00001111000010010
3222101120000211221200
421201123001320102
5131414422111010
64410320332030
7511241023614
oct114133017022
928346024850
1010224410130
11437745a730
121b94174016
13c6c34032c
146cdc9adb4
153ec939cc0
hex2616c1e12

10224410130 has 192 divisors, whose sum is σ = 31027546368. Its totient is φ = 2308423680.

The previous prime is 10224410099. The next prime is 10224410159. The reversal of 10224410130 is 3101442201.

10224410130 is a `hidden beast` number, since 1 + 0 + 224 + 410 + 1 + 30 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1629379 + ... + 1635641.

It is an arithmetic number, because the mean of its divisors is an integer number (161601804).

Almost surely, 210224410130 is an apocalyptic number.

10224410130 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 10224410130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513773184).

10224410130 is an abundant number, since it is smaller than the sum of its proper divisors (20803136238).

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

10224410130 is a wasteful number, since it uses less digits than its factorization.

10224410130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6401 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10224410130 its reverse (3101442201), we get a palindrome (13325852331).

The spelling of 10224410130 in words is "ten billion, two hundred twenty-four million, four hundred ten thousand, one hundred thirty".