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211204140140 = 225717327731481
BaseRepresentation
bin1100010010110010111…
…1110110110001101100
3202012011011211222100202
43010230233312301230
511430021224441030
6241005325413032
721154556366420
oct3045457666154
9665134758322
10211204140140
118163125a554
1234b23a0a178
1316bbb6203b6
14a318130b80
155761dd9745
hex312cbf6c6c

211204140140 has 96 divisors (see below), whose sum is σ = 511676694144. Its totient is φ = 71732090880.

The previous prime is 211204140139. The next prime is 211204140187. The reversal of 211204140140 is 41041402112.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 6693200 + ... + 6724680.

It is an arithmetic number, because the mean of its divisors is an integer number (5329965564).

Almost surely, 2211204140140 is an apocalyptic number.

211204140140 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 211204140140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255838347072).

211204140140 is an abundant number, since it is smaller than the sum of its proper divisors (300472554004).

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

211204140140 is a wasteful number, since it uses less digits than its factorization.

211204140140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31947 (or 31945 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211204140140 its reverse (41041402112), we get a palindrome (252245542252).

The spelling of 211204140140 in words is "two hundred eleven billion, two hundred four million, one hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 277 346 554 692 865 1108 1211 1385 1730 1939 2422 2770 3460 3878 4844 5540 6055 7756 9695 12110 19390 24220 31481 38780 47921 62962 95842 125924 157405 191684 220367 239605 314810 335447 440734 479210 629620 670894 881468 958420 1101835 1341788 1677235 2203670 3354470 4407340 5446213 6708940 8720237 10892426 17440474 21784852 27231065 34880948 38123491 43601185 54462130 61041659 76246982 87202370 108924260 122083318 152493964 174404740 190617455 244166636 305208295 381234910 610416590 762469820 1220833180 1508601001 3017202002 6034404004 7543005005 10560207007 15086010010 21120414014 30172020020 42240828028 52801035035 105602070070 211204140140