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13341002024 = 2373114815189
BaseRepresentation
bin11000110110010111…
…11000100100101000
31021102202110010022002
430123023320210220
5204310244031044
610043451550132
7651413434430
oct143313704450
937382403262
1013341002024
115726714309
122703a5b348
131347c2744c
14907b732c0
1553135e74e
hex31b2f8928

13341002024 has 64 divisors (see below), whose sum is σ = 29535667200. Its totient is φ = 5528332800.

The previous prime is 13341001969. The next prime is 13341002033. The reversal of 13341002024 is 42020014331.

It is a junction number, because it is equal to n+sod(n) for n = 13341001987 and 13341002005.

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, 2568422 + ... + 2573610.

It is an arithmetic number, because the mean of its divisors is an integer number (461494800).

Almost surely, 213341002024 is an apocalyptic number.

13341002024 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 13341002024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14767833600).

13341002024 is an abundant number, since it is smaller than the sum of its proper divisors (16194665176).

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

13341002024 is a wasteful number, since it uses less digits than its factorization.

13341002024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6714 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13341002024 its reverse (42020014331), we get a palindrome (55361016355).

The spelling of 13341002024 in words is "thirteen billion, three hundred forty-one million, two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1481 1736 2962 5189 5924 10367 10378 11848 20734 20756 36323 41468 41512 45911 72646 82936 91822 145292 160859 183644 290584 321377 321718 367288 642754 643436 1126013 1285508 1286872 2252026 2571016 4504052 7684909 9008104 15369818 30739636 53794363 61479272 107588726 215177452 238232179 430354904 476464358 952928716 1667625253 1905857432 3335250506 6670501012 13341002024