Search a number
-
+
13123410101550 = 2325273536132617
BaseRepresentation
bin1011111011111000100000…
…1100101000010100101110
31201110120211000101020200100
42332332020030220110232
53210003220441222200
643524451131211530
72523064223223000
oct276761014502456
951416730336610
1013123410101550
1141aa67496a661
12157b4a35a6ba6
137426bc4c4448
14335268208370
1517b583bdcd00
hexbef8832852e

13123410101550 has 576 divisors, whose sum is σ = 41977644508800. Its totient is φ = 2937115883520.

The previous prime is 13123410101449. The next prime is 13123410101567. The reversal of 13123410101550 is 5510101432131.

13123410101550 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 4 + 1 + 0 + 101 + 550 = 666.

13123410101550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5014675842 + ... + 5014678458.

It is an arithmetic number, because the mean of its divisors is an integer number (72877855050).

Almost surely, 213123410101550 is an apocalyptic number.

13123410101550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123410101550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20988822254400).

13123410101550 is an abundant number, since it is smaller than the sum of its proper divisors (28854234407250).

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

13123410101550 is a wasteful number, since it uses less digits than its factorization.

13123410101550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 13123410101550 its reverse (5510101432131), we get a palindrome (18633511533681).

The spelling of 13123410101550 in words is "thirteen trillion, one hundred twenty-three billion, four hundred ten million, one hundred one thousand, five hundred fifty".