Search a number
-
+
13012135024 = 2472103161137
BaseRepresentation
bin11000001111001010…
…10110110001110000
31020120211121221120211
430013211112301300
5203122101310044
65551103113504
7640311215500
oct140745266160
936524557524
1013012135024
1155780136a9
1226318a2894
1312c4a602a5
148b6207a00
1551254c634
hex307956c70

13012135024 has 60 divisors (see below), whose sum is σ = 29612007984. Its totient is φ = 5522452992.

The previous prime is 13012135001. The next prime is 13012135033. The reversal of 13012135024 is 42053121031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13012134986 and 13012135004.

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, 184 + ... + 161320.

Almost surely, 213012135024 is an apocalyptic number.

13012135024 is a gapful number since it is divisible by the number (14) 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 13012135024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14806003992).

13012135024 is an abundant number, since it is smaller than the sum of its proper divisors (16599872960).

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

13012135024 is a wasteful number, since it uses less digits than its factorization.

13012135024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161262 (or 161249 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 13012135024 its reverse (42053121031), we get a palindrome (55065256055).

The spelling of 13012135024 in words is "thirteen billion, twelve million, one hundred thirty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 103 112 196 206 392 412 721 784 824 1442 1648 2884 5047 5768 10094 11536 20188 40376 80752 161137 322274 644548 1127959 1289096 2255918 2578192 4511836 7895713 9023672 15791426 16597111 18047344 31582852 33194222 63165704 66388444 116179777 126331408 132776888 232359554 265553776 464719108 813258439 929438216 1626516878 1858876432 3253033756 6506067512 13012135024