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5210051100 = 2235283892351
BaseRepresentation
bin1001101101000101…
…10001001000011100
3111110002122000111120
410312202301020130
541132233113400
62220553250540
7243052463232
oct46642611034
914402560446
105210051100
112233a35561
121014a03a50
13650524a97
14375d3c952
152075e8ca0
hex1368b121c

5210051100 has 144 divisors (see below), whose sum is σ = 15434012160. Its totient is φ = 1356608000.

The previous prime is 5210051089. The next prime is 5210051101. The reversal of 5210051100 is 11500125.

It is a super-2 number, since 2×52100511002 = 54289264929222420000, 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 5210051100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5210051101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2214925 + ... + 2217275.

It is an arithmetic number, because the mean of its divisors is an integer number (107180640).

Almost surely, 25210051100 is an apocalyptic number.

5210051100 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 5210051100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7717006080).

5210051100 is an abundant number, since it is smaller than the sum of its proper divisors (10223961060).

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

5210051100 is a wasteful number, since it uses less digits than its factorization.

5210051100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 5210051100 is about 72180.6837041601. The cubic root of 5210051100 is about 1733.5937301918.

Adding to 5210051100 its reverse (11500125), we get a palindrome (5221551225).

The spelling of 5210051100 in words is "five billion, two hundred ten million, fifty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 89 100 150 166 178 249 267 300 332 356 415 445 498 534 830 890 996 1068 1245 1335 1660 1780 2075 2225 2351 2490 2670 4150 4450 4702 4980 5340 6225 6675 7053 7387 8300 8900 9404 11755 12450 13350 14106 14774 22161 23510 24900 26700 28212 29548 35265 36935 44322 47020 58775 70530 73870 88644 110805 117550 141060 147740 176325 184675 195133 209239 221610 235100 352650 369350 390266 418478 443220 554025 585399 627717 705300 738700 780532 836956 975665 1046195 1108050 1170798 1255434 1951330 2092390 2216100 2341596 2510868 2926995 3138585 3902660 4184780 4878325 5230975 5853990 6277170 9756650 10461950 11707980 12554340 14634975 15692925 17366837 19513300 20923900 29269950 31385850 34733674 52100511 58539900 62771700 69467348 86834185 104201022 173668370 208402044 260502555 347336740 434170925 521005110 868341850 1042010220 1302512775 1736683700 2605025550 5210051100