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204000140100 = 223523719979203
BaseRepresentation
bin1011110111111101011…
…0110001101101000100
3201111120010020212010110
42331333112301231010
511320243013440400
6233414422553020
720511212403021
oct2757726615504
9644503225113
10204000140100
1179574840709
1233653298770
1316310c8c593
149c33470548
15548e725e50
hex2f7f5b1b44

204000140100 has 144 divisors (see below), whose sum is σ = 606562302528. Its totient is φ = 52897512960.

The previous prime is 204000140083. The next prime is 204000140117. The reversal of 204000140100 is 1041000402.

It is an interprime number because it is at equal distance from previous prime (204000140083) and next prime (204000140117).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22162099 + ... + 22171301.

It is an arithmetic number, because the mean of its divisors is an integer number (4212238212).

Almost surely, 2204000140100 is an apocalyptic number.

204000140100 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 204000140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303281151264).

204000140100 is an abundant number, since it is smaller than the sum of its proper divisors (402562162428).

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

204000140100 is a wasteful number, since it uses less digits than its factorization.

204000140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11254 (or 11247 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 204000140100 its reverse (1041000402), we get a palindrome (205041140502).

The spelling of 204000140100 in words is "two hundred four billion, one hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 1997 2220 2775 3700 3994 5550 5991 7988 9203 9985 11100 11982 18406 19970 23964 27609 29955 36812 39940 46015 49925 55218 59910 73889 92030 99850 110436 119820 138045 147778 149775 184060 199700 221667 230075 276090 295556 299550 340511 369445 443334 460150 552180 599100 681022 690225 738890 886668 920300 1021533 1108335 1362044 1380450 1477780 1702555 1847225 2043066 2216670 2760900 3405110 3694450 4086132 4433340 5107665 5541675 6810220 7388900 8512775 10215330 11083350 17025550 18378391 20430660 22166700 25538325 34051100 36756782 51076650 55135173 73513564 91891955 102153300 110270346 183783910 220540692 275675865 367567820 459459775 551351730 680000467 918919550 1102703460 1360000934 1378379325 1837839100 2040001401 2720001868 2756758650 3400002335 4080002802 5513517300 6800004670 8160005604 10200007005 13600009340 17000011675 20400014010 34000023350 40800028020 51000035025 68000046700 102000070050 204000140100