Search a number
-
+
13101435024 = 2431263721599
BaseRepresentation
bin11000011001110100…
…00000100010010000
31020211001122212011020
430030322000202100
5203312431410044
610004013115440
7642444234366
oct141472004220
936731585136
1013101435024
115613467057
122657788b80
13130a3c8722
148c4011636
1551a2dba19
hex30ce80890

13101435024 has 40 divisors (see below), whose sum is σ = 33849619200. Its totient is φ = 4366597248.

The previous prime is 13101435023. The next prime is 13101435029. The reversal of 13101435024 is 42053410131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13101434985 and 13101435003.

It is not an unprimeable number, because it can be changed into a prime (13101435023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595777 + ... + 617375.

It is an arithmetic number, because the mean of its divisors is an integer number (846240480).

Almost surely, 213101435024 is an apocalyptic number.

It is an amenable number.

13101435024 is an abundant number, since it is smaller than the sum of its proper divisors (20748184176).

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

13101435024 is a wasteful number, since it uses less digits than its factorization.

13101435024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34247 (or 34241 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13101435024 its reverse (42053410131), we get a palindrome (55154845155).

The spelling of 13101435024 in words is "thirteen billion, one hundred one million, four hundred thirty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 12637 21599 25274 37911 43198 50548 64797 75822 86396 101096 129594 151644 172792 202192 259188 303288 345584 518376 606576 1036752 272946563 545893126 818839689 1091786252 1637679378 2183572504 3275358756 4367145008 6550717512 13101435024