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3420223430130 = 23251329791275979
BaseRepresentation
bin110001110001010101001…
…100111101110111110010
3110002222012020210100012200
4301301111030331313302
5422014104144231010
611135121242004030
7502050216322563
oct61612514756762
913088166710180
103420223430130
1110a9565a634a1
12472a41aa6616
131ba6aac14940
14bb77ad0216a
155de7b7decc0
hex31c5533ddf2

3420223430130 has 192 divisors, whose sum is σ = 10032265152000. Its totient is φ = 802579954176.

The previous prime is 3420223430119. The next prime is 3420223430179. The reversal of 3420223430130 is 310343220243.

3420223430130 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 223 + 430 + 1 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3420223430094 and 3420223430103.

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, 2042481 + ... + 3318459.

It is an arithmetic number, because the mean of its divisors is an integer number (52251381000).

Almost surely, 23420223430130 is an apocalyptic number.

3420223430130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420223430130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016132576000).

3420223430130 is an abundant number, since it is smaller than the sum of its proper divisors (6612041721870).

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

3420223430130 is a wasteful number, since it uses less digits than its factorization.

3420223430130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276113 (or 1276110 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 3420223430130 its reverse (310343220243), we get a palindrome (3730566650373).

The spelling of 3420223430130 in words is "three trillion, four hundred twenty billion, two hundred twenty-three million, four hundred thirty thousand, one hundred thirty".