Search a number
-
+
13131410032 = 2413315094001
BaseRepresentation
bin11000011101011000…
…10110101001110000
31020220011001202010201
430032230112221300
5203343120110112
610011003404544
7643260100156
oct141654265160
936804052121
1013131410032
11562937a794
122665823754
131313692210
148c7db53d6
1551cc5d257
hex30eb16a70

13131410032 has 80 divisors (see below), whose sum is σ = 28345685760. Its totient is φ = 5852160000.

The previous prime is 13131410023. The next prime is 13131410051. The reversal of 13131410032 is 23001413131.

It is a junction number, because it is equal to n+sod(n) for n = 13131409991 and 13131410009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3280032 + ... + 3284032.

It is an arithmetic number, because the mean of its divisors is an integer number (354321072).

Almost surely, 213131410032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131410032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14172842880).

13131410032 is an abundant number, since it is smaller than the sum of its proper divisors (15214275728).

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

13131410032 is a wasteful number, since it uses less digits than its factorization.

13131410032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4562 (or 4556 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13131410032 its reverse (23001413131), we get a palindrome (36132823163).

The spelling of 13131410032 in words is "thirteen billion, one hundred thirty-one million, four hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 509 806 1018 1612 2036 3224 4001 4072 6448 6617 8002 8144 13234 15779 16004 26468 31558 32008 52013 52936 63116 64016 104026 105872 124031 126232 205127 208052 248062 252464 410254 416104 496124 820508 832208 992248 1612403 1641016 1984496 2036509 3224806 3282032 4073018 6449612 8146036 12899224 16292072 25798448 26474617 32584144 52949234 63131779 105898468 126263558 211796936 252527116 423593872 505054232 820713127 1010108464 1641426254 3282852508 6565705016 13131410032