Search a number
-
+
11331302110020 = 223251912730784979
BaseRepresentation
bin1010010011100100011000…
…1111001011001101000100
31111010021001221000122120200
42210321012033023031010
52441123001320010040
640033310041330500
72246442141513654
oct244710617131504
944107057018520
1011331302110020
11367963a6a8822
1213300ba196a30
136426ca311249
142b261ba32364
15149b46e4c630
hexa4e463cb344

11331302110020 has 288 divisors, whose sum is σ = 36584746598400. Its totient is φ = 2830819767552.

The previous prime is 11331302109991. The next prime is 11331302110043. The reversal of 11331302110020 is 2001120313311.

11331302110020 is a `hidden beast` number, since 1 + 1 + 331 + 302 + 1 + 10 + 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 = 11331302109975 and 11331302110002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133299891 + ... + 133384869.

Almost surely, 211331302110020 is an apocalyptic number.

11331302110020 is a gapful number since it is divisible by the number (10) 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 11331302110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18292373299200).

11331302110020 is an abundant number, since it is smaller than the sum of its proper divisors (25253444488380).

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

11331302110020 is a wasteful number, since it uses less digits than its factorization.

11331302110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85447 (or 85442 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11331302110020 its reverse (2001120313311), we get a palindrome (13332422423331).

The spelling of 11331302110020 in words is "eleven trillion, three hundred thirty-one billion, three hundred two million, one hundred ten thousand, twenty".