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130022322011000 = 235317105120993467
BaseRepresentation
bin11101100100000100101110…
…010100001111101101111000
3122001101000100011210221021222
4131210010232110033231320
5114020241203413323000
61140311232524051212
736246542230522646
oct3544045624175570
9561330304727258
10130022322011000
113847a180111501
12126bb244693b08
13577208b040813
142417184a02196
1510072a40d2a85
hex76412e50fb78

130022322011000 has 256 divisors, whose sum is σ = 322702615872000. Its totient is φ = 48865608960000.

The previous prime is 130022322010937. The next prime is 130022322011009. The reversal of 130022322011000 is 110223220031.

It is a super-2 number, since 2×1300223220110002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 130022322011000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130022322011009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37502831267 + ... + 37502834733.

It is an arithmetic number, because the mean of its divisors is an integer number (1260557093250).

Almost surely, 2130022322011000 is an apocalyptic number.

130022322011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130022322011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161351307936000).

130022322011000 is an abundant number, since it is smaller than the sum of its proper divisors (192680293861000).

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

130022322011000 is a wasteful number, since it uses less digits than its factorization.

130022322011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6655 (or 6641 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 130022322011000 its reverse (110223220031), we get a palindrome (130132545231031).

The spelling of 130022322011000 in words is "one hundred thirty trillion, twenty-two billion, three hundred twenty-two million, eleven thousand".