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13243142000 = 245311601961
BaseRepresentation
bin11000101010101101…
…00100111101110000
31021011221022022120202
430111112210331300
5204110221021000
610030034254332
7646114564304
oct142526447560
937157268522
1013243142000
115686454660
1226971273a8
1313308829ca
148d8b7bd04
1552797ddd5
hex3155a4f70

13243142000 has 80 divisors (see below), whose sum is σ = 34933058784. Its totient is φ = 4815680000.

The previous prime is 13243141973. The next prime is 13243142039. The reversal of 13243142000 is 24134231.

13243142000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 278981 + ... + 322980.

Almost surely, 213243142000 is an apocalyptic number.

13243142000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13243142000 is an abundant number, since it is smaller than the sum of its proper divisors (21689916784).

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

13243142000 is a wasteful number, since it uses less digits than its factorization.

13243142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601995 (or 601979 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13243142000 its reverse (24134231), we get a palindrome (13267276231).

The spelling of 13243142000 in words is "thirteen billion, two hundred forty-three million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 601961 1203922 2407844 3009805 4815688 6019610 6621571 9631376 12039220 13243142 15049025 24078440 26486284 30098050 33107855 48156880 52972568 60196100 66215710 75245125 105945136 120392200 132431420 150490250 165539275 240784400 264862840 300980500 331078550 529725680 601961000 662157100 827696375 1203922000 1324314200 1655392750 2648628400 3310785500 6621571000 13243142000