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13243151000 = 235337359997
BaseRepresentation
bin11000101010101101…
…00111001010011000
31021011221022202221002
430111112213022120
5204110221313000
610030034404132
7646114632452
oct142526471230
937157282832
1013243151000
1156864603a2
122697130648
131330886b31
148d8b812d2
155279818d5
hex3155a7298

13243151000 has 128 divisors (see below), whose sum is σ = 31947177600. Its totient is φ = 5134579200.

The previous prime is 13243150997. The next prime is 13243151041. The reversal of 13243151000 is 15134231.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13282502 + ... + 13283498.

It is an arithmetic number, because the mean of its divisors is an integer number (249587325).

Almost surely, 213243151000 is an apocalyptic number.

13243151000 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 13243151000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15973588800).

13243151000 is an abundant number, since it is smaller than the sum of its proper divisors (18704026600).

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

13243151000 is a wasteful number, since it uses less digits than its factorization.

13243151000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 13243151000 its reverse (15134231), we get a palindrome (13258285231).

The spelling of 13243151000 in words is "thirteen billion, two hundred forty-three million, one hundred fifty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 359 370 500 718 740 925 997 1000 1436 1480 1795 1850 1994 2872 3590 3700 3988 4625 4985 7180 7400 7976 8975 9250 9970 13283 14360 17950 18500 19940 24925 26566 35900 36889 37000 39880 44875 49850 53132 66415 71800 73778 89750 99700 106264 124625 132830 147556 179500 184445 199400 249250 265660 295112 332075 357923 359000 368890 498500 531320 664150 715846 737780 922225 997000 1328300 1431692 1475560 1660375 1789615 1844450 2656600 2863384 3320750 3579230 3688900 4611125 6641500 7158460 7377800 8948075 9222250 13243151 13283000 14316920 17896150 18444500 26486302 35792300 36889000 44740375 52972604 66215755 71584600 89480750 105945208 132431510 178961500 264863020 331078775 357923000 529726040 662157550 1324315100 1655393875 2648630200 3310787750 6621575500 13243151000