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32434532130 = 235711133134841
BaseRepresentation
bin11110001101001111…
…111010111100100010
310002201102021221121210
4132031033322330202
51012411220012010
622522240330550
72225520655110
oct361517727442
9102642257553
1032434532130
11128344a2060
126352313a56
13309b881860
1417d98d6ab0
15c9c721b20
hex78d3faf22

32434532130 has 256 divisors, whose sum is σ = 107890900992. Its totient is φ = 6020352000.

The previous prime is 32434532111. The next prime is 32434532153. The reversal of 32434532130 is 3123543423.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 913510 + ... + 948350.

It is an arithmetic number, because the mean of its divisors is an integer number (421448832).

Almost surely, 232434532130 is an apocalyptic number.

32434532130 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 32434532130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53945450496).

32434532130 is an abundant number, since it is smaller than the sum of its proper divisors (75456368862).

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

32434532130 is a wasteful number, since it uses less digits than its factorization.

32434532130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34913.

The product of its (nonzero) digits is 25920, while the sum is 30.

The spelling of 32434532130 in words is "thirty-two billion, four hundred thirty-four million, five hundred thirty-two thousand, one hundred thirty".