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130022322120000 = 2633542322723059
BaseRepresentation
bin11101100100000100101110…
…010100101010010101000000
3122001101000100012000110211000
4131210010232110222111000
5114020241203430320000
61140311232530252000
736246542231455512
oct3544045624522500
9561330305013730
10130022322120000
113847a180186392
12126bb244727000
13577208b07b30b
142417184a2dbb2
1510072a4105000
hex76412e52a540

130022322120000 has 1120 divisors, whose sum is σ = 500633765913600. Its totient is φ = 33017580288000.

The previous prime is 130022322119983. The next prime is 130022322120017. The reversal of 130022322120000 is 21223220031.

130022322120000 is a `hidden beast` number, since 1 + 300 + 22 + 322 + 1 + 20 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130022322119983) and next prime (130022322120017).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5638668471 + ... + 5638691529.

Almost surely, 2130022322120000 is an apocalyptic number.

130022322120000 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 130022322120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250316882956800).

130022322120000 is an abundant number, since it is smaller than the sum of its proper divisors (370611443793600).

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

130022322120000 is a wasteful number, since it uses less digits than its factorization.

130022322120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23350 (or 23319 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130022322120000 its reverse (21223220031), we get a palindrome (130043545340031).

The spelling of 130022322120000 in words is "one hundred thirty trillion, twenty-two billion, three hundred twenty-two million, one hundred twenty thousand".