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104082222300 = 223527192608577
BaseRepresentation
bin110000011101111001…
…0001010110011011100
3100221122200001201111020
41200323302022303130
53201130022103200
6115451551124140
710343153202150
oct1407362126334
9327580051436
10104082222300
1140160779141
1218208b13650
139a7948bbb4
145075299060
152a92801ea0
hex183bc8acdc

104082222300 has 144 divisors (see below), whose sum is σ = 362279312640. Its totient is φ = 22538096640.

The previous prime is 104082222197. The next prime is 104082222313. The reversal of 104082222300 is 3222280401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1264389 + ... + 1344188.

It is an arithmetic number, because the mean of its divisors is an integer number (2515828560).

Almost surely, 2104082222300 is an apocalyptic number.

104082222300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104082222300 is an abundant number, since it is smaller than the sum of its proper divisors (258197090340).

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

104082222300 is a wasteful number, since it uses less digits than its factorization.

104082222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608620 (or 2608613 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 104082222300 in words is "one hundred four billion, eighty-two million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1050 1140 1330 1425 1596 1900 1995 2100 2660 2850 3325 3990 5700 6650 7980 9975 13300 19950 39900 2608577 5217154 7825731 10434308 13042885 15651462 18260039 26085770 31302924 36520078 39128655 49562963 52171540 54780117 65214425 73040156 78257310 91300195 99125926 109560234 130428850 148688889 156514620 182600390 195643275 198251852 219120468 247814815 260857700 273900585 297377778 346940741 365200780 391286550 456500975 495629630 547801170 594755556 693881482 743444445 782573100 913001950 991259260 1040822223 1095602340 1239074075 1369502925 1387762964 1486888890 1734703705 1826003900 2081644446 2478148150 2739005850 2973777780 3469407410 3717222225 4163288892 4956296300 5204111115 5478011700 6938814820 7434444450 8673518525 10408222230 14868888900 17347037050 20816444460 26020555575 34694074100 52041111150 104082222300