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13102423000 = 235335936497
BaseRepresentation
bin11000011001111011…
…10001101111011000
31020211010112001101221
430030331301233120
5203313210014000
610004050221424
7642455520652
oct141475615730
936733461357
1013102423000
115613a81367
122657b84874
13130a683324
148c41cb6d2
1551a43461a
hex30cf71bd8

13102423000 has 64 divisors (see below), whose sum is σ = 30745915200. Its totient is φ = 5226227200.

The previous prime is 13102422997. The next prime is 13102423003. The reversal of 13102423000 is 32420131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13102422997) and next prime (13102423003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102423003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340752 + ... + 377248.

It is an arithmetic number, because the mean of its divisors is an integer number (480404925).

Almost surely, 213102423000 is an apocalyptic number.

13102423000 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 13102423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15372957600).

13102423000 is an abundant number, since it is smaller than the sum of its proper divisors (17643492200).

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

13102423000 is a wasteful number, since it uses less digits than its factorization.

13102423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36877 (or 36863 counting only the distinct ones).

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

Adding to 13102423000 its reverse (32420131), we get a palindrome (13134843131).

The spelling of 13102423000 in words is "thirteen billion, one hundred two million, four hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 359 500 718 1000 1436 1795 2872 3590 7180 8975 14360 17950 35900 36497 44875 71800 72994 89750 145988 179500 182485 291976 359000 364970 729940 912425 1459880 1824850 3649700 4562125 7299400 9124250 13102423 18248500 26204846 36497000 52409692 65512115 104819384 131024230 262048460 327560575 524096920 655121150 1310242300 1637802875 2620484600 3275605750 6551211500 13102423000