Search a number
-
+
20001266120 = 23511237671667
BaseRepresentation
bin10010101000001010…
…110001100111001000
31220121220220121001002
4102220022301213020
5311430311003440
613104412314132
71305435646133
oct225012614710
956556817032
1020001266120
118534214300
123a62472948
131b69a2c014
14d7a53521a
157c0e1b115
hex4a82b19c8

20001266120 has 192 divisors, whose sum is σ = 51592040640. Its totient is φ = 6966812160.

The previous prime is 20001266111. The next prime is 20001266179. The reversal of 20001266120 is 2166210002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20001266092 and 20001266101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11997527 + ... + 11999193.

It is an arithmetic number, because the mean of its divisors is an integer number (268708545).

Almost surely, 220001266120 is an apocalyptic number.

20001266120 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 20001266120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25796020320).

20001266120 is an abundant number, since it is smaller than the sum of its proper divisors (31590774520).

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

20001266120 is a wasteful number, since it uses less digits than its factorization.

20001266120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 20001266120 its reverse (2166210002), we get a palindrome (22167476122).

The spelling of 20001266120 in words is "twenty billion, one million, two hundred sixty-six thousand, one hundred twenty".