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2120320020 = 22357133112527
BaseRepresentation
bin111111001100001…
…1000010000010100
312110202202102021010
41332120120100110
513320300220040
6550221452220
7103354265010
oct17630302024
95422672233
102120320020
119989578a5
124b2111070
1327a383b40
14161859540
15c622ce80
hex7e618414

2120320020 has 192 divisors, whose sum is σ = 7543259136. Its totient is φ = 432898560.

The previous prime is 2120320003. The next prime is 2120320031. The reversal of 2120320020 is 200230212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2120319978 and 2120320005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162997 + ... + 175523.

It is an arithmetic number, because the mean of its divisors is an integer number (39287808).

Almost surely, 22120320020 is an apocalyptic number.

2120320020 is a gapful number since it is divisible by the number (20) 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 2120320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771629568).

2120320020 is an abundant number, since it is smaller than the sum of its proper divisors (5422939116).

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

2120320020 is a wasteful number, since it uses less digits than its factorization.

2120320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12590 (or 12588 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2120320020 is about 46046.9327968758. The cubic root of 2120320020 is about 1284.6962940551.

Adding to 2120320020 its reverse (200230212), we get a palindrome (2320550232).

The spelling of 2120320020 in words is "two billion, one hundred twenty million, three hundred twenty thousand, twenty".