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13120433000 = 2353129110163
BaseRepresentation
bin11000011100000100…
…11110101101101000
31020212101102001110222
430032002132231220
5203332312324000
610005532225212
7643064561153
oct141602365550
936771361428
1013120433000
115623162564
12266200b208
13131131aa2c
148c6758c9a
1551bce0a85
hex30e09eb68

13120433000 has 64 divisors (see below), whose sum is σ = 30728617920. Its totient is φ = 5243592000.

The previous prime is 13120432993. The next prime is 13120433041. The reversal of 13120433000 is 33402131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13120433000.

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, 1285919 + ... + 1296081.

It is an arithmetic number, because the mean of its divisors is an integer number (480134655).

Almost surely, 213120433000 is an apocalyptic number.

13120433000 is a gapful number since it is divisible by the number (10) 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 13120433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15364308960).

13120433000 is an abundant number, since it is smaller than the sum of its proper divisors (17608184920).

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

13120433000 is a wasteful number, since it uses less digits than its factorization.

13120433000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11475 (or 11461 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13120433000 its reverse (33402131), we get a palindrome (13153835131).

The spelling of 13120433000 in words is "thirteen billion, one hundred twenty million, four hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1291 2582 5164 6455 10163 10328 12910 20326 25820 32275 40652 50815 51640 64550 81304 101630 129100 161375 203260 254075 258200 322750 406520 508150 645500 1016300 1270375 1291000 2032600 2540750 5081500 10163000 13120433 26240866 52481732 65602165 104963464 131204330 262408660 328010825 524817320 656021650 1312043300 1640054125 2624086600 3280108250 6560216500 13120433000