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130011012110322 = 232731281119399289
BaseRepresentation
bin11101100011111010001100…
…001100011001011111110010
3122001022221010222020110020200
4131203322030030121133302
5114020100023100012242
61140302122345420030
736245662036123410
oct3543721414313762
9561287128213220
10130011012110322
11384753a6a57752
12126b9008a9a616
135770ca7b5cab5
1424167d09022b0
151006d4122b04c
hex763e8c3197f2

130011012110322 has 192 divisors, whose sum is σ = 333782465402880. Its totient is φ = 35789431910400.

The previous prime is 130011012110321. The next prime is 130011012110333. The reversal of 130011012110322 is 223011210110031.

130011012110322 is a `hidden beast` number, since 1 + 30 + 0 + 1 + 101 + 211 + 0 + 322 = 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 = 130011012110295 and 130011012110304.

It is not an unprimeable number, because it can be changed into a prime (130011012110321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1309370454 + ... + 1309469742.

It is an arithmetic number, because the mean of its divisors is an integer number (1738450340640).

Almost surely, 2130011012110322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130011012110322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166891232701440).

130011012110322 is an abundant number, since it is smaller than the sum of its proper divisors (203771453292558).

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

130011012110322 is a wasteful number, since it uses less digits than its factorization.

130011012110322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100809 (or 100806 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 130011012110322 its reverse (223011210110031), we get a palindrome (353022222220353).

The spelling of 130011012110322 in words is "one hundred thirty trillion, eleven billion, twelve million, one hundred ten thousand, three hundred twenty-two".