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204101102240 = 25571777102551
BaseRepresentation
bin1011111000010101011…
…1111010101010100000
3201111211011020021010222
42332011113322222200
511320444340232430
6233432430542212
720513546513210
oct2760527725240
9644734207128
10204101102240
1179616829aa2
1233681067968
1316328b7bca9
149c42a32240
15549851a9e5
hex2f855faaa0

204101102240 has 96 divisors (see below), whose sum is σ = 551388466944. Its totient is φ = 69937459200.

The previous prime is 204101102203. The next prime is 204101102243. The reversal of 204101102240 is 42201101402.

It is not an unprimeable number, because it can be changed into a prime (204101102243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1938965 + ... + 2041515.

It is an arithmetic number, because the mean of its divisors is an integer number (5743629864).

Almost surely, 2204101102240 is an apocalyptic number.

204101102240 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 204101102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275694233472).

204101102240 is an abundant number, since it is smaller than the sum of its proper divisors (347287364704).

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

204101102240 is a wasteful number, since it uses less digits than its factorization.

204101102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104350 (or 104342 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 204101102240 its reverse (42201101402), we get a palindrome (246302203642).

The spelling of 204101102240 in words is "two hundred four billion, one hundred one million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1777 3554 7108 8885 12439 14216 17770 24878 28432 35540 49756 56864 62195 71080 99512 102551 124390 142160 199024 205102 248780 284320 398048 410204 497560 512755 717857 820408 995120 1025510 1435714 1640816 1990240 2051020 2871428 3281632 3589285 4102040 5742856 7178570 8204080 11485712 14357140 16408160 22971424 28714280 57428560 114857120 182233127 364466254 728932508 911165635 1275631889 1457865016 1822331270 2551263778 2915730032 3644662540 5102527556 5831460064 6378159445 7289325080 10205055112 12756318890 14578650160 20410110224 25512637780 29157300320 40820220448 51025275560 102050551120 204101102240