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103301003300 = 225211210518123
BaseRepresentation
bin110000000110100111…
…0000011100000100100
3100212122020001200111012
41200031032003200210
53143030024101200
6115242243001352
710314616016555
oct1401516034044
9325566050435
10103301003300
113a89a7a5800
121802b369258
139983683631
144ddd61c32c
152a48e39a35
hex180d383824

103301003300 has 108 divisors (see below), whose sum is σ = 246659035728. Its totient is φ = 37523640000.

The previous prime is 103301003297. The next prime is 103301003303. The reversal of 103301003300 is 3300103301.

It is an interprime number because it is at equal distance from previous prime (103301003297) and next prime (103301003303).

It is a super-2 number, since 2×1033010033002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103301003303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12713039 + ... + 12721161.

Almost surely, 2103301003300 is an apocalyptic number.

103301003300 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 103301003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123329517864).

103301003300 is an abundant number, since it is smaller than the sum of its proper divisors (143358032428).

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

103301003300 is a wasteful number, since it uses less digits than its factorization.

103301003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9210 (or 9192 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 103301003300 its reverse (3300103301), we get a palindrome (106601106601).

The spelling of 103301003300 in words is "one hundred three billion, three hundred one million, three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1051 1100 1210 2102 2420 3025 4204 5255 6050 8123 10510 11561 12100 16246 21020 23122 26275 32492 40615 46244 52550 57805 81230 89353 105100 115610 127171 162460 178706 203075 231220 254342 289025 357412 406150 446765 508684 578050 635855 812300 893530 982883 1156100 1271710 1787060 1965766 2233825 2543420 3179275 3931532 4467650 4914415 6358550 8537273 8935300 9828830 12717100 17074546 19657660 24572075 34149092 42686365 49144150 85372730 93910003 98288300 170745460 187820006 213431825 375640012 426863650 469550015 853727300 939100030 1033010033 1878200060 2066020066 2347750075 4132040132 4695500150 5165050165 9391000300 10330100330 20660200660 25825250825 51650501650 103301003300