Search a number
-
+
13362103020 = 223572171914071
BaseRepresentation
bin11000111000111000…
…11000001011101100
31021111020011011102110
430130130120023230
5204331144244040
610045524124020
7652061000400
oct143434301354
937436134373
1013362103020
115737616852
12270ab36610
13134c404a46
1490a8a7100
1553312b980
hex31c7182ec

13362103020 has 288 divisors, whose sum is σ = 48511249920. Its totient is φ = 2723051520.

The previous prime is 13362102973. The next prime is 13362103087. The reversal of 13362103020 is 2030126331.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 942585 + ... + 956655.

It is an arithmetic number, because the mean of its divisors is an integer number (168441840).

Almost surely, 213362103020 is an apocalyptic number.

13362103020 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 13362103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24255624960).

13362103020 is an abundant number, since it is smaller than the sum of its proper divisors (35149146900).

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

13362103020 is a wasteful number, since it uses less digits than its factorization.

13362103020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14133 (or 14124 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13362103020 its reverse (2030126331), we get a palindrome (15392229351).

The spelling of 13362103020 in words is "thirteen billion, three hundred sixty-two million, one hundred three thousand, twenty".