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4120763130 = 23251119733001
BaseRepresentation
bin1111010110011101…
…1101101011111010
3101122011221110022200
43311213131223322
531414403410010
61520522131030
7204054623451
oct36547355372
911564843280
104120763130
111825077370
12970050a76
13508954aa3
142b13cbb98
15191b7bcc0
hexf59ddafa

4120763130 has 192 divisors, whose sum is σ = 12475831680. Its totient is φ = 933120000.

The previous prime is 4120763081. The next prime is 4120763159. The reversal of 4120763130 is 313670214.

4120763130 is a `hidden beast` number, since 4 + 1 + 20 + 7 + 631 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4120763094 and 4120763103.

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, 1371630 + ... + 1374630.

It is an arithmetic number, because the mean of its divisors is an integer number (64978290).

Almost surely, 24120763130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120763130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237915840).

4120763130 is an abundant number, since it is smaller than the sum of its proper divisors (8355068550).

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

4120763130 is a wasteful number, since it uses less digits than its factorization.

4120763130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4120763130 is about 64193.1704311292. The cubic root of 4120763130 is about 1603.2178897876.

The spelling of 4120763130 in words is "four billion, one hundred twenty million, seven hundred sixty-three thousand, one hundred thirty".