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103341300 = 223521723881
BaseRepresentation
bin1100010100011…
…01110011110100
321012110021121120
412022031303310
5202423410200
614130543540
72363246406
oct612156364
9235407546
10103341300
1153373937
122a737bb0
13185435ca
14da20b76
1591149a0
hex628dcf4

103341300 has 144 divisors (see below), whose sum is σ = 330728832. Its totient is φ = 24780800.

The previous prime is 103341289. The next prime is 103341311. The reversal of 103341300 is 3143301.

It is an interprime number because it is at equal distance from previous prime (103341289) and next prime (103341311).

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 103341300.

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, 116860 + ... + 117740.

It is an arithmetic number, because the mean of its divisors is an integer number (2296728).

Almost surely, 2103341300 is an apocalyptic number.

103341300 is a gapful number since it is divisible by the number (10) 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 103341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165364416).

103341300 is an abundant number, since it is smaller than the sum of its proper divisors (227387532).

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

103341300 is a wasteful number, since it uses less digits than its factorization.

103341300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 103341300 is about 10165.6923030357. The cubic root of 103341300 is about 469.2719980449.

Adding to 103341300 its reverse (3143301), we get a palindrome (106484601).

The spelling of 103341300 in words is "one hundred three million, three hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 25 30 34 46 50 51 60 68 69 75 85 92 100 102 115 138 150 170 204 230 255 276 300 340 345 391 425 460 510 575 690 782 850 881 1020 1150 1173 1275 1380 1564 1700 1725 1762 1955 2300 2346 2550 2643 3450 3524 3910 4405 4692 5100 5286 5865 6900 7820 8810 9775 10572 11730 13215 14977 17620 19550 20263 22025 23460 26430 29325 29954 39100 40526 44050 44931 52860 58650 59908 60789 66075 74885 81052 88100 89862 101315 117300 121578 132150 149770 179724 202630 224655 243156 264300 299540 303945 344471 374425 405260 449310 506575 607890 688942 748850 898620 1013150 1033413 1123275 1215780 1377884 1497700 1519725 1722355 2026300 2066826 2246550 3039450 3444710 4133652 4493100 5167065 6078900 6889420 8611775 10334130 17223550 20668260 25835325 34447100 51670650 103341300