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2210132221000 = 235311979120521
BaseRepresentation
bin100000001010010110001…
…001010101110001001000
321211021201220200200200221
4200022112021111301020
5242202322322033000
64411153135435424
7315451064625004
oct40122611256110
97737656620627
102210132221000
11782348025650
122b8408985b74
13130550a86392
1478d844b1704
153c755c2b61a
hex20296255c48

2210132221000 has 128 divisors (see below), whose sum is σ = 5642715985920. Its totient is φ = 803563200000.

The previous prime is 2210132220997. The next prime is 2210132221039. The reversal of 2210132221000 is 1222310122.

It is a happy number.

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, 107690740 + ... + 107711260.

It is an arithmetic number, because the mean of its divisors is an integer number (44083718640).

Almost surely, 22210132221000 is an apocalyptic number.

2210132221000 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 2210132221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821357992960).

2210132221000 is an abundant number, since it is smaller than the sum of its proper divisors (3432583764920).

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

2210132221000 is a wasteful number, since it uses less digits than its factorization.

2210132221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30344 (or 30330 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2210132221000 its reverse (1222310122), we get a palindrome (2211354531122).

The spelling of 2210132221000 in words is "two trillion, two hundred ten billion, one hundred thirty-two million, two hundred twenty-one 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 1000 1100 1375 2200 2750 5500 9791 11000 19582 20521 39164 41042 48955 78328 82084 97910 102605 107701 164168 195820 205210 215402 225731 244775 391640 410420 430804 451462 489550 513025 538505 820840 861608 902924 979100 1026050 1077010 1128655 1223875 1805848 1958200 2052100 2154020 2257310 2447750 2565125 2692525 4104200 4308040 4514620 4895500 5130250 5385050 5643275 9029240 9791000 10260500 10770100 11286550 13462625 20521000 21540200 22573100 26925250 28216375 45146200 53850500 56432750 107701000 112865500 200921111 225731000 401842222 803684444 1004605555 1607368888 2009211110 2210132221 4018422220 4420264442 5023027775 8036844440 8840528884 10046055550 11050661105 17681057768 20092111100 22101322210 25115138875 40184222200 44202644420 50230277750 55253305525 88405288840 100460555500 110506611050 200921111000 221013222100 276266527625 442026444200 552533055250 1105066110500 2210132221000