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2113420001220 = 22335112328155051
BaseRepresentation
bin11110110000010001101…
…001011111111111000100
321111001002212120220001000
4132300101221133333010
5234111241010014340
64254520341133300
7305455342415403
oct36602151377704
97431085526030
102113420001220
11745329548490
122a17180ba230
131243aa46ac28
147440bd6963a
1539e9547dd30
hex1ec11a5ffc4

2113420001220 has 384 divisors, whose sum is σ = 7511453429760. Its totient is φ = 488315520000.

The previous prime is 2113420001159. The next prime is 2113420001221. The reversal of 2113420001220 is 221000243112.

It is a happy number.

2113420001220 is a `hidden beast` number, since 21 + 1 + 3 + 420 + 0 + 0 + 1 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2113420001193 and 2113420001202.

It is not an unprimeable number, because it can be changed into a prime (2113420001221) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 38362695 + ... + 38417745.

It is an arithmetic number, because the mean of its divisors is an integer number (19561076640).

Almost surely, 22113420001220 is an apocalyptic number.

2113420001220 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 2113420001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755726714880).

2113420001220 is an abundant number, since it is smaller than the sum of its proper divisors (5398033428540).

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

2113420001220 is a wasteful number, since it uses less digits than its factorization.

2113420001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55384 (or 55376 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2113420001220 its reverse (221000243112), we get a palindrome (2334420244332).

The spelling of 2113420001220 in words is "two trillion, one hundred thirteen billion, four hundred twenty million, one thousand, two hundred twenty".