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2123132213320 = 235416131766949
BaseRepresentation
bin11110111001010100100…
…010101001100001001000
321111222011201211101101021
4132321110202221201020
5234241133321311240
64303204203402224
7306251124022516
oct36712442514110
97458151741337
102123132213320
1174946286a158
122a3588823374
13125297644cb1
1474a8dbb74b6
153a362e4154a
hex1ee548a9848

2123132213320 has 128 divisors (see below), whose sum is σ = 4989547836000. Its totient is φ = 812373811200.

The previous prime is 2123132213291. The next prime is 2123132213333. The reversal of 2123132213320 is 233122313212.

It can be written as a sum of positive squares in 16 ways, for example, as 139378275556 + 1983753937764 = 373334^2 + 1408458^2 .

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, 31679206 + ... + 31746154.

Almost surely, 22123132213320 is an apocalyptic number.

2123132213320 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 2123132213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494773918000).

2123132213320 is an abundant number, since it is smaller than the sum of its proper divisors (2866415622680).

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

2123132213320 is a wasteful number, since it uses less digits than its factorization.

2123132213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67379 (or 67375 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 2123132213320 its reverse (233122313212), we get a palindrome (2356254526532).

The spelling of 2123132213320 in words is "two trillion, one hundred twenty-three billion, one hundred thirty-two million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 61 82 122 164 205 244 305 317 328 410 488 610 634 820 1220 1268 1585 1640 2440 2501 2536 3170 5002 6340 10004 12505 12680 12997 19337 20008 25010 25994 38674 50020 51988 64985 66949 77348 96685 100040 103976 129970 133898 154696 193370 259940 267796 334745 386740 519880 535592 669490 773480 792817 1338980 1585634 2677960 2744909 3171268 3964085 4083889 5489818 6342536 7928170 8167778 10979636 13724545 15856340 16335556 20419445 21222833 21959272 27449090 31712680 32671112 40838890 42445666 54898180 81677780 84891332 106114165 109796360 163355560 167439449 169782664 212228330 334878898 424456660 669757796 837197245 848913320 870136153 1294592813 1339515592 1674394490 1740272306 2589185626 3348788980 3480544612 4350680765 5178371252 6472964065 6697577960 6961089224 8701361530 10356742504 12945928130 17402723060 25891856260 34805446120 51783712520 53078305333 106156610666 212313221332 265391526665 424626442664 530783053330 1061566106660 2123132213320