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13000143156 = 22373111321699
BaseRepresentation
bin11000001101101111…
…00111000100110100
31020120000001200211120
430012313213010310
5203111014040111
65545554103540
7640104252000
oct140667470464
936500050746
1013000143156
115571272a70
12262987abb0
1312c2421c00
148b47a5700
1551147e406
hex306de7134

13000143156 has 288 divisors, whose sum is σ = 41811840000. Its totient is φ = 3115082880.

The previous prime is 13000143133. The next prime is 13000143157. The reversal of 13000143156 is 65134100031.

13000143156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000143157) 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 95 ways as a sum of consecutive naturals, for example, 7650795 + ... + 7652493.

It is an arithmetic number, because the mean of its divisors is an integer number (145180000).

Almost surely, 213000143156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13000143156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20905920000).

13000143156 is an abundant number, since it is smaller than the sum of its proper divisors (28811696844).

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

13000143156 is a wasteful number, since it uses less digits than its factorization.

13000143156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 13000143156 its reverse (65134100031), we get a palindrome (78134243187).

The spelling of 13000143156 in words is "thirteen billion, one hundred forty-three thousand, one hundred fifty-six".