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100000120000 = 2654111729461
BaseRepresentation
bin101110100100001111…
…0001011110011000000
3100120010011212102212011
41131020132023303000
53114300012320000
6113534525342304
710140044665234
oct1351036136300
9316104772764
10100000120000
1139456508280
1217469a07994
139578852251
144ba90925c4
1529042602ba
hex174878bcc0

100000120000 has 560 divisors, whose sum is σ = 296942073120. Its totient is φ = 32972800000.

The previous prime is 100000119979. The next prime is 100000120007. The reversal of 100000120000 is 21000001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (100000120007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 216919770 + ... + 216920230.

It is an arithmetic number, because the mean of its divisors is an integer number (530253702).

Almost surely, 2100000120000 is an apocalyptic number.

100000120000 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 100000120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148471036560).

100000120000 is an abundant number, since it is smaller than the sum of its proper divisors (196941953120).

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

100000120000 is a wasteful number, since it uses less digits than its factorization.

100000120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 100000120000 its reverse (21000001), we get a palindrome (100021120001).

The spelling of 100000120000 in words is "one hundred billion, one hundred twenty thousand".