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13102003420 = 2251125414051
BaseRepresentation
bin11000011001111000…
…01011010011011100
31020211002201201211221
430030330023103130
5203313103102140
610004033223124
7642452122462
oct141474132334
936732651757
1013102003420
115613815100
122657a01aa4
13130a56735c
148c411c832
1551a3a014a
hex30cf0b4dc

13102003420 has 36 divisors (see below), whose sum is σ = 30242894472. Its totient is φ = 4764364000.

The previous prime is 13102003417. The next prime is 13102003423. The reversal of 13102003420 is 2430020131.

It is a happy number.

13102003420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13102003417) and next prime (13102003423).

It is a junction number, because it is equal to n+sod(n) for n = 13102003394 and 13102003403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102003423) 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 11 ways as a sum of consecutive naturals, for example, 2704606 + ... + 2709445.

It is an arithmetic number, because the mean of its divisors is an integer number (840080402).

Almost surely, 213102003420 is an apocalyptic number.

13102003420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13102003420 is an abundant number, since it is smaller than the sum of its proper divisors (17140891052).

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

13102003420 is a wasteful number, since it uses less digits than its factorization.

13102003420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414082 (or 5414069 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13102003420 its reverse (2430020131), we get a palindrome (15532023551).

The spelling of 13102003420 in words is "thirteen billion, one hundred two million, three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 5414051 10828102 21656204 27070255 54140510 59554561 108281020 119109122 238218244 297772805 595545610 655100171 1191091220 1310200342 2620400684 3275500855 6551001710 13102003420