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5001105000 = 23354379011
BaseRepresentation
bin1001010100001011…
…01100111001101000
3110220112110110100010
410222011230321220
540220240330000
62144131011520
7234634456023
oct45205547150
913815413303
105001105000
112136aa2231
12b76a39ba0
13619157838
143562ac1ba
151e40c3d50
hex12a16ce68

5001105000 has 160 divisors (see below), whose sum is σ = 16047488160. Its totient is φ = 1297440000.

The previous prime is 5001104989. The next prime is 5001105017. The reversal of 5001105000 is 5011005.

It is a super-2 number, since 2×50011050002 = 50022102442050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 550495 + ... + 559505.

It is an arithmetic number, because the mean of its divisors is an integer number (100296801).

Almost surely, 25001105000 is an apocalyptic number.

5001105000 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 5001105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023744080).

5001105000 is an abundant number, since it is smaller than the sum of its proper divisors (11046383160).

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

5001105000 is a wasteful number, since it uses less digits than its factorization.

5001105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9077 (or 9058 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 5001105000 is about 70718.4912169370. The cubic root of 5001105000 is about 1710.1019056262.

Adding to 5001105000 its reverse (5011005), we get a palindrome (5006116005).

The spelling of 5001105000 in words is "five billion, one million, one hundred five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 625 740 750 888 925 1000 1110 1250 1480 1500 1850 1875 2220 2500 2775 3000 3700 3750 4440 4625 5000 5550 7400 7500 9011 9250 11100 13875 15000 18022 18500 22200 23125 27033 27750 36044 37000 45055 46250 54066 55500 69375 72088 90110 92500 108132 111000 135165 138750 180220 185000 216264 225275 270330 277500 333407 360440 450550 540660 555000 666814 675825 901100 1000221 1081320 1126375 1333628 1351650 1667035 1802200 2000442 2252750 2667256 2703300 3334070 3379125 4000884 4505500 5001105 5406600 5631875 6668140 6758250 8001768 8335175 9011000 10002210 11263750 13336280 13516500 16670350 16895625 20004420 22527500 25005525 27033000 33340700 33791250 40008840 41675875 45055000 50011050 66681400 67582500 83351750 100022100 125027625 135165000 166703500 200044200 208379375 250055250 333407000 416758750 500110500 625138125 833517500 1000221000 1250276250 1667035000 2500552500 5001105000