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3110222013320 = 235617979771637
BaseRepresentation
bin101101010000100111101…
…011011010001110001000
3102000100000201102200211202
4231100213223122032020
5401424213313411240
610340452151443332
7440464125624512
oct55204753321610
912010021380752
103110222013320
11a9a046274774
12422947086548
131973a6020a26
14aa76d78cbb2
1555d86093315
hex2d427ada388

3110222013320 has 128 divisors (see below), whose sum is σ = 7133289377760. Its totient is φ = 1220161781760.

The previous prime is 3110222013313. The next prime is 3110222013331. The reversal of 3110222013320 is 233102220113.

It can be written as a sum of positive squares in 16 ways, for example, as 2553685156 + 3107668328164 = 50534^2 + 1762858^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3110222013292 and 3110222013301.

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, 1899951542 + ... + 1899953178.

Almost surely, 23110222013320 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 3110222013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566644688880).

3110222013320 is an abundant number, since it is smaller than the sum of its proper divisors (4023067364440).

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

3110222013320 is a wasteful number, since it uses less digits than its factorization.

3110222013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 3110222013320 its reverse (233102220113), we get a palindrome (3343324233433).

The spelling of 3110222013320 in words is "three trillion, one hundred ten billion, two hundred twenty-two million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 797 977 1220 1594 1637 1954 2440 3188 3274 3908 3985 4885 6376 6548 7816 7970 8185 9770 13096 15940 16370 19540 31880 32740 39080 48617 59597 65480 97234 99857 119194 194468 199714 238388 243085 297985 388936 399428 476776 486170 499285 595970 778669 798856 972340 998570 1191940 1304689 1557338 1599349 1944680 1997140 2383880 2609378 3114676 3198698 3893345 3994280 5218756 6229352 6397396 6523445 7786690 7996745 10437512 12794792 13046890 15573380 15993490 26093780 31146760 31986980 47498809 52187560 63973960 79586029 94997618 97560289 159172058 189995236 195120578 237494045 318344116 379990472 390241156 397930145 474988090 487801445 636688232 780482312 795860290 949976180 975602890 1274681153 1591720580 1899952360 1951205780 2549362306 3183441160 3902411560 5098724612 6373405765 10197449224 12746811530 25493623060 50987246120 77755550333 155511100666 311022201332 388777751665 622044402664 777555503330 1555111006660 3110222013320