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13124140100 = 2252131241401
BaseRepresentation
bin11000011100100001…
…00111110001000100
31020212122101101122222
430032100213301010
5203334234440400
610010143511512
7643141231061
oct141620476104
936778341588
1013124140100
115625264785
1226632b8598
131312018196
148c7041c68
1551c2c4185
hex30e427c44

13124140100 has 18 divisors (see below), whose sum is σ = 28479384234. Its totient is φ = 5249656000.

The previous prime is 13124140087. The next prime is 13124140103. The reversal of 13124140100 is 104142131.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 49589764 + 13074550336 = 7042^2 + 114344^2 .

It is not an unprimeable number, because it can be changed into a prime (13124140103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65620601 + ... + 65620800.

It is an arithmetic number, because the mean of its divisors is an integer number (1582188013).

Almost surely, 213124140100 is an apocalyptic number.

13124140100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13124140100 is an abundant number, since it is smaller than the sum of its proper divisors (15355244134).

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

13124140100 is a wasteful number, since it uses less digits than its factorization.

13124140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131241415 (or 131241408 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 13124140100 its reverse (104142131), we get a palindrome (13228282231).

The spelling of 13124140100 in words is "thirteen billion, one hundred twenty-four million, one hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131241401 262482802 524965604 656207005 1312414010 2624828020 3281035025 6562070050 13124140100