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13120440500 = 22531937163229
BaseRepresentation
bin11000011100000101…
…00000100010110100
31020212101102102202202
430032002200202310
5203332313044000
610005532324032
7643064622056
oct141602404264
936771372682
1013120440500
115623168162
122662013618
13131132127b
148c675b8d6
1551bce2dd5
hex30e0a08b4

13120440500 has 192 divisors, whose sum is σ = 31304582400. Its totient is φ = 4786905600.

The previous prime is 13120440497. The next prime is 13120440511. The reversal of 13120440500 is 504402131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57294386 + ... + 57294614.

It is an arithmetic number, because the mean of its divisors is an integer number (163044700).

Almost surely, 213120440500 is an apocalyptic number.

13120440500 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 13120440500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15652291200).

13120440500 is an abundant number, since it is smaller than the sum of its proper divisors (18184141900).

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

13120440500 is a wasteful number, since it uses less digits than its factorization.

13120440500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 13120440500 its reverse (504402131), we get a palindrome (13624842631).

The spelling of 13120440500 in words is "thirteen billion, one hundred twenty million, four hundred forty thousand, five hundred".