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4023010013220 = 223351117325715233
BaseRepresentation
bin111010100010101110000…
…101010011000000100100
3112020121002111002111002000
4322202232011103000210
51011403111030410340
612320051214245300
7563436636615552
oct72425605230044
915217074074060
104023010013220
111311170300120
1254b829ab6830
132324a2c82483
14dca012b6bd2
156e9ab0e6d30
hex3a8ae153024

4023010013220 has 384 divisors, whose sum is σ = 13787116116480. Its totient is φ = 965801410560.

The previous prime is 4023010013189. The next prime is 4023010013227. The reversal of 4023010013220 is 223100103204.

4023010013220 is a `hidden beast` number, since 40 + 2 + 301 + 0 + 0 + 1 + 322 + 0 = 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 = 4023010013193 and 4023010013202.

It is not an unprimeable number, because it can be changed into a prime (4023010013227) 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 127 ways as a sum of consecutive naturals, for example, 264090724 + ... + 264105956.

It is an arithmetic number, because the mean of its divisors is an integer number (35903948220).

Almost surely, 24023010013220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023010013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6893558058240).

4023010013220 is an abundant number, since it is smaller than the sum of its proper divisors (9764106103260).

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

4023010013220 is a wasteful number, since it uses less digits than its factorization.

4023010013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15692 (or 15684 counting only the distinct ones).

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

Adding to 4023010013220 its reverse (223100103204), we get a palindrome (4246110116424).

The spelling of 4023010013220 in words is "four trillion, twenty-three billion, ten million, thirteen thousand, two hundred twenty".