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5110321200 = 243527358337
BaseRepresentation
bin1001100001001100…
…10101000000110000
3111012010222012210120
410300212111000300
540431220234300
62203031530240
7240432004425
oct46046250060
914163865716
105110321200
112192708a56
12ba7529980
136359771ca
143669bbd4c
151ed9993a0
hex130995030

5110321200 has 120 divisors (see below), whose sum is σ = 16594594128. Its totient is φ = 1344061440.

The previous prime is 5110321169. The next prime is 5110321213. The reversal of 5110321200 is 21230115.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×51103212002 = 52230765534338880000, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5110321200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58432 + ... + 116768.

Almost surely, 25110321200 is an apocalyptic number.

5110321200 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 5110321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8297297064).

5110321200 is an abundant number, since it is smaller than the sum of its proper divisors (11484272928).

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

5110321200 is a wasteful number, since it uses less digits than its factorization.

5110321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58431 (or 58420 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 5110321200 is about 71486.5106156399. The cubic root of 5110321200 is about 1722.4610074429.

Adding to 5110321200 its reverse (21230115), we get a palindrome (5131551315).

The spelling of 5110321200 in words is "five billion, one hundred ten million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 73 75 80 100 120 146 150 200 219 240 292 300 365 400 438 584 600 730 876 1095 1168 1200 1460 1752 1825 2190 2920 3504 3650 4380 5475 5840 7300 8760 10950 14600 17520 21900 29200 43800 58337 87600 116674 175011 233348 291685 350022 466696 583370 700044 875055 933392 1166740 1400088 1458425 1750110 2333480 2800176 2916850 3500220 4258601 4375275 4666960 5833700 7000440 8517202 8750550 11667400 12775803 14000880 17034404 17501100 21293005 23334800 25551606 34068808 35002200 42586010 51103212 63879015 68137616 70004400 85172020 102206424 106465025 127758030 170344040 204412848 212930050 255516060 319395075 340688080 425860100 511032120 638790150 851720200 1022064240 1277580300 1703440400 2555160600 5110321200