Search a number
-
+
32030320122 = 23223379204137
BaseRepresentation
bin11101110101001001…
…111110010111111010
310001200020200211222200
4131311021332113322
51011044230220442
622414200531030
72212512141333
oct356511762772
9101606624880
1032030320122
111264730a649
12625aa80a76
133035bc7058
14179bd5728a
15c76eca34c
hex77527e5fa

32030320122 has 48 divisors (see below), whose sum is σ = 72607803840. Its totient is φ = 10185569856.

The previous prime is 32030320111. The next prime is 32030320141. The reversal of 32030320122 is 22102303023.

It is a happy number.

32030320122 is a `hidden beast` number, since 320 + 3 + 0 + 320 + 1 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 32030320095 and 32030320104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54838 + ... + 258974.

It is an arithmetic number, because the mean of its divisors is an integer number (1512662580).

Almost surely, 232030320122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32030320122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36303901920).

32030320122 is an abundant number, since it is smaller than the sum of its proper divisors (40577483718).

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

32030320122 is a wasteful number, since it uses less digits than its factorization.

32030320122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204547 (or 204544 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 32030320122 its reverse (22102303023), we get a palindrome (54132623145).

The spelling of 32030320122 in words is "thirty-two billion, thirty million, three hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 379 414 758 1137 2274 3411 6822 8717 17434 26151 52302 78453 156906 204137 408274 612411 1224822 1837233 3674466 4695151 9390302 14085453 28170906 42256359 77367923 84512718 154735846 232103769 464207538 696311307 1392622614 1779462229 3558924458 5338386687 10676773374 16015160061 32030320122