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10212323000 = 2353115771609
BaseRepresentation
bin10011000001011001…
…11010111010111000
3222100201021202112012
421200230322322320
5131403323314000
64405205305052
7511033212305
oct114054727270
928321252465
1010212323000
114370654470
121b90105188
13c6999a799
146cc4320ac
153eb84d735
hex260b3aeb8

10212323000 has 128 divisors (see below), whose sum is σ = 26130686400. Its totient is φ = 3704832000.

The previous prime is 10212322993. The next prime is 10212323003. The reversal of 10212323000 is 32321201.

It is a happy number.

10212323000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212323003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6346196 + ... + 6347804.

Almost surely, 210212323000 is an apocalyptic number.

10212323000 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 10212323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13065343200).

10212323000 is an abundant number, since it is smaller than the sum of its proper divisors (15918363400).

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

10212323000 is a wasteful number, since it uses less digits than its factorization.

10212323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10212323000 its reverse (32321201), we get a palindrome (10244644201).

The spelling of 10212323000 in words is "ten billion, two hundred twelve million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 577 1000 1100 1154 1375 1609 2200 2308 2750 2885 3218 4616 5500 5770 6347 6436 8045 11000 11540 12694 12872 14425 16090 17699 23080 25388 28850 31735 32180 35398 40225 50776 57700 63470 64360 70796 72125 80450 88495 115400 126940 141592 144250 158675 160900 176990 201125 253880 288500 317350 321800 353980 402250 442475 577000 634700 707960 793375 804500 884950 928393 1269400 1586750 1609000 1769900 1856786 2212375 3173500 3539800 3713572 4424750 4641965 6347000 7427144 8849500 9283930 10212323 17699000 18567860 20424646 23209825 37135720 40849292 46419650 51061615 81698584 92839300 102123230 116049125 185678600 204246460 232098250 255308075 408492920 464196500 510616150 928393000 1021232300 1276540375 2042464600 2553080750 5106161500 10212323000