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5271201300 = 2235237587809
BaseRepresentation
bin1001110100011000…
…00010011000010100
3111121100200202210210
410322030002120110
541243411420200
62231020045420
7244424320551
oct47214023024
914540622723
105271201300
112265501612
121031393870
136600b5431
143800d9a28
1520cb77650
hex13a302614

5271201300 has 144 divisors (see below), whose sum is σ = 15709619520. Its totient is φ = 1363645440.

The previous prime is 5271201289. The next prime is 5271201317. The reversal of 5271201300 is 31021725.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6515296 + ... + 6516104.

It is an arithmetic number, because the mean of its divisors is an integer number (109094580).

Almost surely, 25271201300 is an apocalyptic number.

5271201300 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 5271201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7854809760).

5271201300 is an abundant number, since it is smaller than the sum of its proper divisors (10438418220).

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

5271201300 is a wasteful number, since it uses less digits than its factorization.

5271201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 5271201300 is about 72603.0391925848. The cubic root of 5271201300 is about 1740.3497447307.

The spelling of 5271201300 in words is "five billion, two hundred seventy-one million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 587 740 809 925 1110 1174 1618 1761 1850 2220 2348 2427 2775 2935 3236 3522 3700 4045 4854 5550 5870 7044 8090 8805 9708 11100 11740 12135 14675 16180 17610 20225 21719 24270 29350 29933 35220 40450 43438 44025 48540 58700 59866 60675 65157 80900 86876 88050 89799 108595 119732 121350 130314 149665 176100 179598 217190 242700 260628 299330 325785 359196 434380 448995 474883 542975 598660 651570 748325 897990 949766 1085950 1303140 1424649 1496650 1628925 1795980 1899532 2171900 2244975 2374415 2849298 2993300 3257850 4489950 4748830 5698596 6515700 7123245 8979900 9497660 11872075 14246490 17570671 23744150 28492980 35141342 35616225 47488300 52712013 70282684 71232450 87853355 105424026 142464900 175706710 210848052 263560065 351413420 439266775 527120130 878533550 1054240260 1317800325 1757067100 2635600650 5271201300