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10204234000 = 245367271281
BaseRepresentation
bin10011000000011100…
…00100000100010000
3222100011001210111121
421200032010010100
5131344240442000
64404320052024
7510604362232
oct114016040420
928304053447
1010204234000
11436702a044
121b89464014
13c680c79ac
146cb328252
153eaca1b1a
hex260384110

10204234000 has 160 divisors (see below), whose sum is σ = 25223956992. Its totient is φ = 3991680000.

The previous prime is 10204233961. The next prime is 10204234043. The reversal of 10204234000 is 43240201.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 36313860 + ... + 36314140.

Almost surely, 210204234000 is an apocalyptic number.

10204234000 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 10204234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12611978496).

10204234000 is an abundant number, since it is smaller than the sum of its proper divisors (15019722992).

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

10204234000 is a wasteful number, since it uses less digits than its factorization.

10204234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10204234000 its reverse (43240201), we get a palindrome (10247474201).

The spelling of 10204234000 in words is "ten billion, two hundred four million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 271 281 335 400 500 536 542 562 670 1000 1072 1084 1124 1340 1355 1405 1675 2000 2168 2248 2680 2710 2810 3350 4336 4496 5360 5420 5620 6700 6775 7025 8375 10840 11240 13400 13550 14050 16750 18157 18827 21680 22480 26800 27100 28100 33500 33875 35125 36314 37654 54200 56200 67000 67750 70250 72628 75308 76151 90785 94135 108400 112400 134000 135500 140500 145256 150616 152302 181570 188270 271000 281000 290512 301232 304604 363140 376540 380755 453925 470675 542000 562000 609208 726280 753080 761510 907850 941350 1218416 1452560 1506160 1523020 1815700 1882700 1903775 2269625 2353375 3046040 3631400 3765400 3807550 4539250 4706750 5102117 6092080 7262800 7530800 7615100 9078500 9413500 9518875 10204234 15230200 18157000 18827000 19037750 20408468 25510585 30460400 36314000 37654000 38075500 40816936 51021170 76151000 81633872 102042340 127552925 152302000 204084680 255105850 408169360 510211700 637764625 1020423400 1275529250 2040846800 2551058500 5102117000 10204234000