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2231241221000 = 235311883229717
BaseRepresentation
bin100000011110000000010…
…101110010001110001000
321220022020000222222221202
4200132000111302032020
5243024040223033000
64425003522523332
7320126144311031
oct40360025621610
97808200888852
102231241221000
1179029a5567a0
1230051a206548
1313253614331c
1479dc7b99a88
153d08e009dd5
hex20780572388

2231241221000 has 128 divisors (see below), whose sum is σ = 5702225592960. Its totient is φ = 810438048000.

The previous prime is 2231241220997. The next prime is 2231241221051. The reversal of 2231241221000 is 1221421322.

It is a super-3 number, since 3×22312412210003 (a number of 38 digits) contains 333 as substring.

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, 9598142 + ... + 9827858.

It is an arithmetic number, because the mean of its divisors is an integer number (44548637445).

Almost surely, 22231241221000 is an apocalyptic number.

2231241221000 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 2231241221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851112796480).

2231241221000 is an abundant number, since it is smaller than the sum of its proper divisors (3470984371960).

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

2231241221000 is a wasteful number, since it uses less digits than its factorization.

2231241221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230632 (or 230618 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2231241221000 its reverse (1221421322), we get a palindrome (2232462642322).

The spelling of 2231241221000 in words is "two trillion, two hundred thirty-one billion, two hundred forty-one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 883 1000 1100 1375 1766 2200 2750 3532 4415 5500 7064 8830 9713 11000 17660 19426 22075 35320 38852 44150 48565 77704 88300 97130 110375 176600 194260 220750 229717 242825 388520 441500 459434 485650 883000 918868 971300 1148585 1214125 1837736 1942600 2297170 2428250 2526887 4594340 4856500 5053774 5742925 9188680 9713000 10107548 11485850 12634435 20215096 22971700 25268870 28714625 45943400 50537740 57429250 63172175 101075480 114858500 126344350 202840111 229717000 252688700 315860875 405680222 505377400 631721750 811360444 1014200555 1263443500 1622720888 2028401110 2231241221 2526887000 4056802220 4462482442 5071002775 8113604440 8924964884 10142005550 11156206105 17849929768 20284011100 22312412210 25355013875 40568022200 44624824420 50710027750 55781030525 89249648840 101420055500 111562061050 202840111000 223124122100 278905152625 446248244200 557810305250 1115620610500 2231241221000