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13311101010420 = 2232573950561169
BaseRepresentation
bin1100000110110011101101…
…1100101000000111110100
31202010112021111221022111200
43001230323130220013310
53221042113324313140
644151011350532500
72542460330510643
oct301547334500764
952115244838450
1013311101010420
11427222a556474
1215ab944967130
1375730161a035
1434039160d35a
151813bb6d9030
hexc1b3b7281f4

13311101010420 has 36 divisors (see below), whose sum is σ = 40377006398820. Its totient is φ = 3549626936064.

The previous prime is 13311101010419. The next prime is 13311101010437. The reversal of 13311101010420 is 2401010111331.

It is a happy number.

13311101010420 is a `hidden beast` number, since 1 + 3 + 31 + 110 + 101 + 0 + 420 = 666.

13311101010420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8977226424804 + 4333874585616 = 2996202^2 + 2081796^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 13311101010393 and 13311101010402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36975280405 + ... + 36975280764.

Almost surely, 213311101010420 is an apocalyptic number.

13311101010420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311101010420 is an abundant number, since it is smaller than the sum of its proper divisors (27065905388400).

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

13311101010420 is a wasteful number, since it uses less digits than its factorization.

13311101010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73950561184 (or 73950561179 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13311101010420 its reverse (2401010111331), we get a palindrome (15712111121751).

The spelling of 13311101010420 in words is "thirteen trillion, three hundred eleven billion, one hundred one million, ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 73950561169 147901122338 221851683507 295802244676 369752805845 443703367014 665555050521 739505611690 887406734028 1109258417535 1331110101042 1479011223380 2218516835070 2662220202084 3327775252605 4437033670140 6655550505210 13311101010420