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103301123100 = 223527431143977
BaseRepresentation
bin110000000110100111…
…0100000110000011100
3100212122020021202211020
41200031032200300130
53143030041414400
6115242245324140
710314620026050
oct1401516406034
9325566252736
10103301123100
113a89a87780a
121802b406650
1399836c6016
144ddd64dc60
152a48e602a0
hex180d3a0c1c

103301123100 has 144 divisors (see below), whose sum is σ = 349526462208. Its totient is φ = 23062556160.

The previous prime is 103301123089. The next prime is 103301123111. The reversal of 103301123100 is 1321103301.

It is an interprime number because it is at equal distance from previous prime (103301123089) and next prime (103301123111).

It is a super-2 number, since 2×1033011231002 (a number of 23 digits) 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 103301123100.

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, 481689 + ... + 662288.

Almost surely, 2103301123100 is an apocalyptic number.

103301123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103301123100 is an abundant number, since it is smaller than the sum of its proper divisors (246225339108).

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

103301123100 is a wasteful number, since it uses less digits than its factorization.

103301123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144044 (or 1144037 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103301123100 its reverse (1321103301), we get a palindrome (104622226401).

The spelling of 103301123100 in words is "one hundred three billion, three hundred one million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 43 50 60 70 75 84 86 100 105 129 140 150 172 175 210 215 258 300 301 350 420 430 516 525 602 645 700 860 903 1050 1075 1204 1290 1505 1806 2100 2150 2580 3010 3225 3612 4300 4515 6020 6450 7525 9030 12900 15050 18060 22575 30100 45150 90300 1143977 2287954 3431931 4575908 5719885 6863862 8007839 11439770 13727724 16015678 17159655 22879540 24023517 28599425 32031356 34319310 40039195 48047034 49191011 57198850 68638620 80078390 85798275 96094068 98382022 114397700 120117585 147573033 160156780 171596550 196764044 200195975 240235170 245955055 295146066 343193100 344337077 400391950 480470340 491910110 590292132 600587925 688674154 737865165 800783900 983820220 1033011231 1201175850 1229775275 1377348308 1475730330 1721685385 2066022462 2402351700 2459550550 2951460660 3443370770 3689325825 4132044924 4919101100 5165056155 6886741540 7378651650 8608426925 10330112310 14757303300 17216853850 20660224620 25825280775 34433707700 51650561550 103301123100