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103405250200 = 23527599123307
BaseRepresentation
bin110000001001101101…
…1101110011010011000
3100212220111012222100111
41200103123232122120
53143233221001300
6115300445214104
710320323060440
oct1402333563230
9325814188314
10103405250200
113a943627a6a
121805a261334
13999c1531a5
14500d3d7120
152a5317c9ba
hex18136ee698

103405250200 has 96 divisors (see below), whose sum is σ = 275223456000. Its totient is φ = 35393754240.

The previous prime is 103405250183. The next prime is 103405250231. The reversal of 103405250200 is 2052504301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 776947 + ... + 900253.

It is an arithmetic number, because the mean of its divisors is an integer number (2866911000).

Almost surely, 2103405250200 is an apocalyptic number.

103405250200 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 103405250200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137611728000).

103405250200 is an abundant number, since it is smaller than the sum of its proper divisors (171818205800).

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

103405250200 is a wasteful number, since it uses less digits than its factorization.

103405250200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123929 (or 123920 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 103405250200 its reverse (2052504301), we get a palindrome (105457754501).

The spelling of 103405250200 in words is "one hundred three billion, four hundred five million, two hundred fifty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 599 700 1198 1400 2396 2995 4193 4792 5990 8386 11980 14975 16772 20965 23960 29950 33544 41930 59900 83860 104825 119800 123307 167720 209650 246614 419300 493228 616535 838600 863149 986456 1233070 1726298 2466140 3082675 3452596 4315745 4932280 6165350 6905192 8631490 12330700 17262980 21578725 24661400 34525960 43157450 73860893 86314900 147721786 172629800 295443572 369304465 517026251 590887144 738608930 1034052502 1477217860 1846522325 2068105004 2585131255 2954435720 3693044650 4136210008 5170262510 7386089300 10340525020 12925656275 14772178600 20681050040 25851312550 51702625100 103405250200