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13402131400 = 235279572951
BaseRepresentation
bin11000111101101010…
…00100101111001000
31021121000110211001001
430132311010233020
5204421421201100
610053514104344
7653055144250
oct143665045710
937530424031
1013402131400
115758176759
12272041b0b4
1313577ab488
14911d26960
155368d6d6a
hex31ed44bc8

13402131400 has 48 divisors (see below), whose sum is σ = 35611381440. Its totient is φ = 4595016000.

The previous prime is 13402131383. The next prime is 13402131401. The reversal of 13402131400 is 413120431.

13402131400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13402131401) 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, 4785076 + ... + 4787875.

It is an arithmetic number, because the mean of its divisors is an integer number (741903780).

Almost surely, 213402131400 is an apocalyptic number.

13402131400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13402131400 is an abundant number, since it is smaller than the sum of its proper divisors (22209250040).

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

13402131400 is a wasteful number, since it uses less digits than its factorization.

13402131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9572974 (or 9572965 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13402131400 its reverse (413120431), we get a palindrome (13815251831).

The spelling of 13402131400 in words is "thirteen billion, four hundred two million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 9572951 19145902 38291804 47864755 67010657 76583608 95729510 134021314 191459020 239323775 268042628 335053285 382918040 478647550 536085256 670106570 957295100 1340213140 1675266425 1914590200 2680426280 3350532850 6701065700 13402131400