Search a number
-
+
3311032300020 = 22325371019914967
BaseRepresentation
bin110000001011101000111…
…001110111000111110100
3102201112100112102012201200
4300023220321313013310
5413221443232100040
611013022305052500
7461133316120434
oct60135071670764
912645315365650
103311032300020
1110672234622a5
1245584a027130
131b02c9184c93
14b637d3162c4
155b1da722630
hex302e8e771f4

3311032300020 has 288 divisors, whose sum is σ = 10429648459776. Its totient is φ = 849543552000.

The previous prime is 3311032300007. The next prime is 3311032300027. The reversal of 3311032300020 is 200032301133.

3311032300020 is a `hidden beast` number, since 3 + 311 + 0 + 32 + 300 + 0 + 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 = 3311032299966 and 3311032300002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311032300027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 666603577 + ... + 666608543.

It is an arithmetic number, because the mean of its divisors is an integer number (36214057152).

Almost surely, 23311032300020 is an apocalyptic number.

3311032300020 is a gapful number since it is divisible by the number (30) 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 3311032300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214824229888).

3311032300020 is an abundant number, since it is smaller than the sum of its proper divisors (7118616159756).

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

3311032300020 is a wasteful number, since it uses less digits than its factorization.

3311032300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6111 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3311032300020 its reverse (200032301133), we get a palindrome (3511064601153).

The spelling of 3311032300020 in words is "three trillion, three hundred eleven billion, thirty-two million, three hundred thousand, twenty".