Search a number
-
+
201220111222020 = 22325111954761915797
BaseRepresentation
bin101101110000001000110101…
…010000000100010100000100
3222101110110021112011002201200
4231300020311100010110010
5202333242241433101040
61551543124251222500
760245446636506102
oct5560106520042404
9871413245132650
10201220111222020
1159129a73a95190
121a699980147a30
138837c8a2c3b57
143799169106c72
15183e2e4665630
hexb70235404504

201220111222020 has 576 divisors, whose sum is σ = 703360932019200. Its totient is φ = 46051309624320.

The previous prime is 201220111221991. The next prime is 201220111222027. The reversal of 201220111222020 is 20222111022102.

It is a happy number.

201220111222020 is a `hidden beast` number, since 201 + 220 + 1 + 1 + 1 + 2 + 220 + 20 = 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 = 201220111221984 and 201220111222002.

It is not an unprimeable number, because it can be changed into a prime (201220111222027) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12737860762 + ... + 12737876558.

It is an arithmetic number, because the mean of its divisors is an integer number (1221112729200).

Almost surely, 2201220111222020 is an apocalyptic number.

201220111222020 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 201220111222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351680466009600).

201220111222020 is an abundant number, since it is smaller than the sum of its proper divisors (502140820797180).

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

201220111222020 is a wasteful number, since it uses less digits than its factorization.

201220111222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17008 (or 17003 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201220111222020 its reverse (20222111022102), we get a palindrome (221442222244122).

The spelling of 201220111222020 in words is "two hundred one trillion, two hundred twenty billion, one hundred eleven million, two hundred twenty-two thousand, twenty".