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13131123000 = 2335317257473
BaseRepresentation
bin11000011101010110…
…10000100100111000
31020220010112011101220
430032223100210320
5203343031414000
610010553312040
7643254463302
oct141653204470
936803464356
1013131123000
1156291a4076
122665705620
1313135c1688
148c7d3c972
1551cc031a0
hex30ead0938

13131123000 has 128 divisors (see below), whose sum is σ = 43379219520. Its totient is φ = 3295641600.

The previous prime is 13131122987. The next prime is 13131123001. The reversal of 13131123000 is 32113131.

It is a super-2 number, since 2×131311230002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131123001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77737 + ... + 179736.

Almost surely, 213131123000 is an apocalyptic number.

13131123000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131123000 is an abundant number, since it is smaller than the sum of its proper divisors (30248096520).

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

13131123000 is a wasteful number, since it uses less digits than its factorization.

13131123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257514 (or 257500 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13131123000 its reverse (32113131), we get a palindrome (13163236131).

The spelling of 13131123000 in words is "thirteen billion, one hundred thirty-one million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 1000 1020 1275 1500 1700 2040 2125 2550 3000 3400 4250 5100 6375 8500 10200 12750 17000 25500 51000 257473 514946 772419 1029892 1287365 1544838 2059784 2574730 3089676 3862095 4377041 5149460 6179352 6436825 7724190 8754082 10298920 12873650 13131123 15448380 17508164 19310475 21885205 25747300 26262246 30896760 32184125 35016328 38620950 43770410 51494600 52524492 64368250 65655615 77241900 87540820 96552375 105048984 109426025 128736500 131311230 154483800 175081640 193104750 218852050 257473000 262622460 328278075 386209500 437704100 525244920 547130125 656556150 772419000 875408200 1094260250 1313112300 1641390375 2188520500 2626224600 3282780750 4377041000 6565561500 13131123000