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205103514140 = 22573773542401
BaseRepresentation
bin1011111100000100011…
…1110100001000011100
3201121102000110001202122
42333001013310020130
511330022444423030
6234120120042112
720550441050660
oct2770107641034
9647360401678
10205103514140
1179a9064a988
1233900903338
1316458751c25
149cd9c0a8a0
1555065268e5
hex2fc11f421c

205103514140 has 96 divisors (see below), whose sum is σ = 512478766464. Its totient is φ = 67483238400.

The previous prime is 205103514127. The next prime is 205103514221. The reversal of 205103514140 is 41415301502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106940 + ... + 649340.

It is an arithmetic number, because the mean of its divisors is an integer number (5338320484).

Almost surely, 2205103514140 is an apocalyptic number.

205103514140 is a gapful number since it is divisible by the number (20) 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 205103514140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256239383232).

205103514140 is an abundant number, since it is smaller than the sum of its proper divisors (307375252324).

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

205103514140 is a wasteful number, since it uses less digits than its factorization.

205103514140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542527 (or 542525 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 205103514140 its reverse (41415301502), we get a palindrome (246518815642).

The spelling of 205103514140 in words is "two hundred five billion, one hundred three million, five hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 73 74 140 146 148 185 259 292 365 370 511 518 730 740 1022 1036 1295 1460 2044 2555 2590 2701 5110 5180 5402 10220 10804 13505 18907 27010 37814 54020 75628 94535 189070 378140 542401 1084802 2169604 2712005 3796807 5424010 7593614 10848020 15187228 18984035 20068837 37968070 39595273 40137674 75936140 79190546 80275348 100344185 140481859 158381092 197976365 200688370 277166911 280963718 395952730 401376740 554333822 561927436 702409295 791905460 1108667644 1385834555 1404818590 1465025101 2771669110 2809637180 2930050202 5543338220 5860100404 7325125505 10255175707 14650251010 20510351414 29300502020 41020702828 51275878535 102551757070 205103514140