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2040213231120 = 2435411791158317
BaseRepresentation
bin11101101100000110001…
…011110101011000010000
321020001010222010122120110
4131230012023311120100
5231411324041343440
64201132214041320
7300254246220651
oct35540613653020
97201128118513
102040213231120
117172821a9599
1228b4a7349240
1311a51185439c
1470a654c5528
153810d584080
hex1db062f5610

2040213231120 has 160 divisors (see below), whose sum is σ = 6515121755520. Its totient is φ = 527821434880.

The previous prime is 2040213231113. The next prime is 2040213231229. The reversal of 2040213231120 is 211323120402.

It is a super-2 number, since 2×20402132311202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182202 + ... + 2340518.

It is an arithmetic number, because the mean of its divisors is an integer number (40719510972).

Almost surely, 22040213231120 is an apocalyptic number.

2040213231120 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 2040213231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257560877760).

2040213231120 is an abundant number, since it is smaller than the sum of its proper divisors (4474908524400).

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

2040213231120 is a wasteful number, since it uses less digits than its factorization.

2040213231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158553 (or 1158547 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2040213231120 its reverse (211323120402), we get a palindrome (2251536351522).

The spelling of 2040213231120 in words is "two trillion, forty billion, two hundred thirteen million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 179 205 240 246 328 358 410 492 537 615 656 716 820 895 984 1074 1230 1432 1640 1790 1968 2148 2460 2685 2864 3280 3580 4296 4920 5370 7160 7339 8592 9840 10740 14320 14678 21480 22017 29356 36695 42960 44034 58712 73390 88068 110085 117424 146780 176136 220170 293560 352272 440340 587120 880680 1158317 1761360 2316634 3474951 4633268 5791585 6949902 9266536 11583170 13899804 17374755 18533072 23166340 27799608 34749510 46332680 47490997 55599216 69499020 92665360 94981994 138998040 142472991 189963988 207338743 237454985 277996080 284945982 379927976 414677486 474909970 569891964 622016229 712364955 759855952 829354972 949819940 1036693715 1139783928 1244032458 1424729910 1658709944 1899639880 2073387430 2279567856 2488064916 2849459820 3110081145 3317419888 3799279760 4146774860 4976129832 5698919640 6220162290 8293549720 8500888463 9952259664 11397839280 12440324580 16587099440 17001776926 24880649160 25502665389 34003553852 42504442315 49761298320 51005330778 68007107704 85008884630 102010661556 127513326945 136014215408 170017769260 204021323112 255026653890 340035538520 408042646224 510053307780 680071077040 1020106615560 2040213231120