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13013332420 = 2251159151511
BaseRepresentation
bin11000001111010011…
…11011000111000100
31020120220212210002211
430013221323013010
5203122403114140
65551144513204
7640324333444
oct140751730704
936526783084
1013013332420
115578761290
12263217b804
1312c508c2ca
148b643a124
155126d72ea
hex307a7b1c4

13013332420 has 24 divisors (see below), whose sum is σ = 29812362048. Its totient is φ = 4732120800.

The previous prime is 13013332331. The next prime is 13013332421. The reversal of 13013332420 is 2423331031.

13013332420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13013332391 and 13013332400.

It is not an unprimeable number, because it can be changed into a prime (13013332421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29575536 + ... + 29575975.

It is an arithmetic number, because the mean of its divisors is an integer number (1242181752).

Almost surely, 213013332420 is an apocalyptic number.

13013332420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13013332420 is an abundant number, since it is smaller than the sum of its proper divisors (16799029628).

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

13013332420 is a wasteful number, since it uses less digits than its factorization.

13013332420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59151531 (or 59151529 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13013332420 its reverse (2423331031), we get a palindrome (15436663451).

The spelling of 13013332420 in words is "thirteen billion, thirteen million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 59151511 118303022 236606044 295757555 591515110 650666621 1183030220 1301333242 2602666484 3253333105 6506666210 13013332420