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5201300405000 = 235471259118037
BaseRepresentation
bin100101110110000010110…
…1010011011101100001000
3200102020110120100020012202
41023230011222123230020
51140204230400430000
615021235554455332
71044532033654310
oct113540552335410
920366416306182
105201300405000
11172594a532237
12700068b94548
132b963293084b
1413da5c452440
159046ee15dd5
hex4bb05a9bb08

5201300405000 has 160 divisors (see below), whose sum is σ = 13938776913600. Its totient is φ = 1781871456000.

The previous prime is 5201300404999. The next prime is 5201300405003. The reversal of 5201300405000 is 5040031025.

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

It is not an unprimeable number, because it can be changed into a prime (5201300405003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44005982 + ... + 44124018.

It is an arithmetic number, because the mean of its divisors is an integer number (87117355710).

Almost surely, 25201300405000 is an apocalyptic number.

5201300405000 is a gapful number since it is divisible by the number (50) 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 5201300405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6969388456800).

5201300405000 is an abundant number, since it is smaller than the sum of its proper divisors (8737476508600).

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

5201300405000 is a wasteful number, since it uses less digits than its factorization.

5201300405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119329 (or 119310 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 5201300405000 its reverse (5040031025), we get a palindrome (5206340436025).

The spelling of 5201300405000 in words is "five trillion, two hundred one billion, three hundred million, four hundred five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 875 1000 1250 1259 1400 1750 2500 2518 3500 4375 5000 5036 6295 7000 8750 8813 10072 12590 17500 17626 25180 31475 35000 35252 44065 50360 62950 70504 88130 118037 125900 157375 176260 220325 236074 251800 314750 352520 440650 472148 590185 629500 786875 826259 881300 944296 1101625 1180370 1259000 1573750 1652518 1762600 2203250 2360740 2950925 3147500 3305036 4131295 4406500 4721480 5508125 5901850 6295000 6610072 8262590 8813000 11016250 11803700 14754625 16525180 20656475 22032500 23607400 29509250 33050360 41312950 44065000 59018500 73773125 82625900 103282375 118037000 147546250 148608583 165251800 206564750 295092500 297217166 413129500 516411875 590185000 594434332 743042915 826259000 1032823750 1040260081 1188868664 1486085830 2065647500 2080520162 2972171660 3715214575 4131295000 4161040324 5201300405 5944343320 7430429150 8322080648 10402600810 14860858300 18576072875 20805201620 26006502025 29721716600 37152145750 41610403240 52013004050 74304291500 92880364375 104026008100 130032510125 148608583000 185760728750 208052016200 260065020250 371521457500 520130040500 650162550625 743042915000 1040260081000 1300325101250 2600650202500 5201300405000