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5300216100 = 2233527326891
BaseRepresentation
bin1001110111110101…
…01110000100100100
3111200101021212122000
410323322232010210
541323323403400
62233534005300
7245226044034
oct47372560444
914611255560
105300216100
11227a919893
12103b046830
13666103b5a
14383ccd8c4
152104a9600
hex13beae124

5300216100 has 144 divisors (see below), whose sum is σ = 17273269440. Its totient is φ = 1393977600.

The previous prime is 5300216063. The next prime is 5300216111. The reversal of 5300216100 is 16120035.

5300216100 is a `hidden beast` number, since 5 + 30 + 0 + 21 + 610 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183655 + ... + 210545.

It is an arithmetic number, because the mean of its divisors is an integer number (119953260).

Almost surely, 25300216100 is an apocalyptic number.

5300216100 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 5300216100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8636634720).

5300216100 is an abundant number, since it is smaller than the sum of its proper divisors (11973053340).

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

5300216100 is a wasteful number, since it uses less digits than its factorization.

5300216100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26987 (or 26974 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5300216100 is about 72802.5830585701. The cubic root of 5300216100 is about 1743.5370973736.

Adding to 5300216100 its reverse (16120035), we get a palindrome (5316336135).

The spelling of 5300216100 in words is "five billion, three hundred million, two hundred sixteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 73 75 90 100 108 135 146 150 180 219 225 270 292 300 365 438 450 540 657 675 730 876 900 1095 1314 1350 1460 1825 1971 2190 2628 2700 3285 3650 3942 4380 5475 6570 7300 7884 9855 10950 13140 16425 19710 21900 26891 32850 39420 49275 53782 65700 80673 98550 107564 134455 161346 197100 242019 268910 322692 403365 484038 537820 672275 726057 806730 968076 1210095 1344550 1452114 1613460 1963043 2016825 2420190 2689100 2904228 3630285 3926086 4033650 4840380 5889129 6050475 7260570 7852172 8067300 9815215 11778258 12100950 14521140 17667387 18151425 19630430 23556516 24201900 29445645 35334774 36302850 39260860 49076075 53002161 58891290 70669548 72605700 88336935 98152150 106004322 117782580 147228225 176673870 196304300 212008644 265010805 294456450 353347740 441684675 530021610 588912900 883369350 1060043220 1325054025 1766738700 2650108050 5300216100