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2231033330120 = 235783301131883
BaseRepresentation
bin100000011101110011111…
…100101111100111001000
321220021200112211001021112
4200131303330233213020
5243023124013030440
64424531135025452
7320121041260130
oct40356374574710
97807615731245
102231033330120
117901a3174251
1230048066b288
1313250205547a
1479da8321ac0
153d07ab42965
hex20773f2f9c8

2231033330120 has 128 divisors (see below), whose sum is σ = 5808173091840. Its totient is φ = 755435063040.

The previous prime is 2231033330063. The next prime is 2231033330143. The reversal of 2231033330120 is 210333301322.

It is a super-3 number, since 3×22310333301203 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69959699 + ... + 69991581.

It is an arithmetic number, because the mean of its divisors is an integer number (45376352280).

Almost surely, 22231033330120 is an apocalyptic number.

2231033330120 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 2231033330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904086545920).

2231033330120 is an abundant number, since it is smaller than the sum of its proper divisors (3577139761720).

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

2231033330120 is a wasteful number, since it uses less digits than its factorization.

2231033330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34995 (or 34991 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 2231033330120 its reverse (210333301322), we get a palindrome (2441366631442).

The spelling of 2231033330120 in words is "two trillion, two hundred thirty-one billion, thirty-three million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 332 415 581 664 830 1162 1660 2324 2905 3011 3320 4648 5810 6022 11620 12044 15055 21077 23240 24088 30110 31883 42154 60220 63766 84308 105385 120440 127532 159415 168616 210770 223181 249913 255064 318830 421540 446362 499826 637660 843080 892724 999652 1115905 1249565 1275320 1749391 1785448 1999304 2231810 2499130 2646289 3498782 4463620 4998260 5292578 6997564 8746955 8927240 9996520 10585156 13231445 13995128 17493910 18524023 21170312 26462890 34987820 37048046 52925780 69975640 74096092 92620115 95999713 105851560 148192184 185240230 191999426 370480460 383998852 479998565 671997991 740960920 767997704 959997130 1343995982 1919994260 2687991964 3359989955 3839988520 5375983928 6719979910 7967976179 13439959820 15935952358 26879919640 31871904716 39839880895 55775833253 63743809432 79679761790 111551666506 159359523580 223103333012 278879166265 318719047160 446206666024 557758332530 1115516665060 2231033330120