Search a number
-
+
2120000020020 = 2233531376733619
BaseRepresentation
bin11110110110011001110…
…110010001111000110100
321111200002110001110221000
4132312121312101320310
5234213230001120040
64301525313523300
7306110401562601
oct36663166217064
97450073043830
102120000020020
117480a5819a53
122a2a53873530
13124bb875788c
1474873bdd6a8
153a22ce89130
hex1ed99d91e34

2120000020020 has 192 divisors, whose sum is σ = 6810325401600. Its totient is φ = 546935276160.

The previous prime is 2120000020013. The next prime is 2120000020031. The reversal of 2120000020020 is 200200000212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2120000019984 and 2120000020011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63042771 + ... + 63076389.

It is an arithmetic number, because the mean of its divisors is an integer number (35470444800).

Almost surely, 22120000020020 is an apocalyptic number.

2120000020020 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 2120000020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405162700800).

2120000020020 is an abundant number, since it is smaller than the sum of its proper divisors (4690325381580).

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

2120000020020 is a wasteful number, since it uses less digits than its factorization.

2120000020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37435 (or 37427 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2120000020020 its reverse (200200000212), we get a palindrome (2320200020232).

The spelling of 2120000020020 in words is "two trillion, one hundred twenty billion, twenty thousand, twenty".