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211241320344120 = 233511625725576363
BaseRepresentation
bin110000000001111101110011…
…110111000110101000111000
31000200221110202211002101111210
4300001331303313012220320
5210141434211002002440
62025134531201323120
762331452561550543
oct6001756367065070
91020843684071453
10211241320344120
1161342a39314590
121b837b969364a0
1390b3c81493561
143a241c4d4385a
151964d11562a80
hexc01f73dc6a38

211241320344120 has 128 divisors (see below), whose sum is σ = 691445747139840. Its totient is φ = 51201830615040.

The previous prime is 211241320344113. The next prime is 211241320344121. The reversal of 211241320344120 is 21443023142112.

It is a happy number.

211241320344120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211241320344121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4528942 + ... + 21047421.

It is an arithmetic number, because the mean of its divisors is an integer number (5401919899530).

Almost surely, 2211241320344120 is an apocalyptic number.

211241320344120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211241320344120 is an abundant number, since it is smaller than the sum of its proper divisors (480204426795720).

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

211241320344120 is a wasteful number, since it uses less digits than its factorization.

211241320344120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25582645 (or 25582641 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 211241320344120 its reverse (21443023142112), we get a palindrome (232684343486232).

The spelling of 211241320344120 in words is "two hundred eleven trillion, two hundred forty-one billion, three hundred twenty million, three hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 6257 12514 18771 25028 31285 37542 50056 62570 68827 75084 93855 125140 137654 150168 187710 206481 250280 275308 344135 375420 412962 550616 688270 750840 825924 1032405 1376540 1651848 2064810 2753080 4129620 8259240 25576363 51152726 76729089 102305452 127881815 153458178 204610904 255763630 281339993 306916356 383645445 511527260 562679986 613832712 767290890 844019979 1023054520 1125359972 1406699965 1534581780 1688039958 2250719944 2813399930 3069163560 3376079916 4220099895 5626799860 6752159832 8440199790 11253599720 16880399580 33760799160 160031303291 320062606582 480093909873 640125213164 800156516455 960187819746 1280250426328 1600313032910 1760344336201 1920375639492 2400469549365 3200626065820 3520688672402 3840751278984 4800939098730 5281033008603 6401252131640 7041377344804 8801721681005 9601878197460 10562066017206 14082754689608 17603443362010 19203756394920 21124132034412 26405165043015 35206886724020 42248264068824 52810330086030 70413773448040 105620660172060 211241320344120