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3211442020120 = 235597322981401
BaseRepresentation
bin101110101110111000110…
…111000101111100011000
3102101000021220201210210111
4232232320313011330120
5410104013124120440
610455152135454104
7451006345526245
oct56567067057430
912330256653714
103211442020120
111028a68330a54
1243a495527334
131a3ab750b189
14b161286a5cc
155880c46b4ea
hex2ebb8dc5f18

3211442020120 has 128 divisors (see below), whose sum is σ = 7481495016000. Its totient is φ = 1240051507200.

The previous prime is 3211442020099. The next prime is 3211442020121. The reversal of 3211442020120 is 210202441123.

It is a junction number, because it is equal to n+sod(n) for n = 3211442020091 and 3211442020100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3211442020121) 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, 39411420 + ... + 39492820.

Almost surely, 23211442020120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3211442020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740747508000).

3211442020120 is an abundant number, since it is smaller than the sum of its proper divisors (4270052995880).

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

3211442020120 is a wasteful number, since it uses less digits than its factorization.

3211442020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81773 (or 81769 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 3211442020120 its reverse (210202441123), we get a palindrome (3421644461243).

The spelling of 3211442020120 in words is "three trillion, two hundred eleven billion, four hundred forty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 73 118 146 229 236 292 295 365 458 472 584 590 730 916 1145 1180 1460 1832 2290 2360 2920 4307 4580 8614 9160 13511 16717 17228 21535 27022 33434 34456 43070 54044 66868 67555 81401 83585 86140 108088 133736 135110 162802 167170 172280 270220 325604 334340 407005 540440 651208 668680 814010 986303 1628020 1972606 3256040 3945212 4802659 4931515 5942273 7890424 9605318 9863030 11884546 18640829 19210636 19726060 23769092 24013295 29711365 37281658 38421272 39452120 47538184 48026590 59422730 74563316 93204145 96053180 118845460 149126632 186408290 192106360 237690920 350594107 372816580 701188214 745633160 1099808911 1360780517 1402376428 1752970535 2199617822 2721561034 2804752856 3505941070 4399235644 5443122068 5499044555 6803902585 7011882140 8798471288 10886244136 10998089110 13607805170 14023764280 21996178220 27215610340 43992356440 54431220680 80286050503 160572101006 321144202012 401430252515 642288404024 802860505030 1605721010060 3211442020120