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103534300200 = 23352547315461
BaseRepresentation
bin110000001101100100…
…0000000110000101000
3100220020111001101200010
41200123020000300220
53144014240101300
6115321335211520
710323451013502
oct1403310006050
9326214041603
10103534300200
113a9aa460161
1218095516ba0
1399bcac8436
1450225cad72
152a5e66ea50
hex181b200c28

103534300200 has 96 divisors (see below), whose sum is σ = 321544107360. Its totient is φ = 27558585600.

The previous prime is 103534300183. The next prime is 103534300217. The reversal of 103534300200 is 2003435301.

It is an interprime number because it is at equal distance from previous prime (103534300183) and next prime (103534300217).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170470 + ... + 485930.

It is an arithmetic number, because the mean of its divisors is an integer number (3349417785).

Almost surely, 2103534300200 is an apocalyptic number.

103534300200 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 103534300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160772053680).

103534300200 is an abundant number, since it is smaller than the sum of its proper divisors (218009807160).

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

103534300200 is a wasteful number, since it uses less digits than its factorization.

103534300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316027 (or 316018 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 103534300200 its reverse (2003435301), we get a palindrome (105537735501).

The spelling of 103534300200 in words is "one hundred three billion, five hundred thirty-four million, three hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 547 600 1094 1641 2188 2735 3282 4376 5470 6564 8205 10940 13128 13675 16410 21880 27350 32820 41025 54700 65640 82050 109400 164100 315461 328200 630922 946383 1261844 1577305 1892766 2523688 3154610 3785532 4731915 6309220 7571064 7886525 9463830 12618440 15773050 18927660 23659575 31546100 37855320 47319150 63092200 94638300 172557167 189276600 345114334 517671501 690228668 862785835 1035343002 1380457336 1725571670 2070686004 2588357505 3451143340 4141372008 4313929175 5176715010 6902286680 8627858350 10353430020 12941787525 17255716700 20706860040 25883575050 34511433400 51767150100 103534300200