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20132312313330 = 2335717626589241
BaseRepresentation
bin1001001001111011010110…
…10100101110110111110010
32122021122000110102102212000
410210331223110232313302
510114321433423011310
6110452353454114430
74145340316103340
oct444755324566762
978248013372760
1020132312313330
11646207a4a8418
12231193a7aba16
13b306132521b9
144d85a287c990
1524da4abee4c0
hex124f6b52edf2

20132312313330 has 128 divisors (see below), whose sum is σ = 64964772610560. Its totient is φ = 4330984826880.

The previous prime is 20132312313319. The next prime is 20132312313409. The reversal of 20132312313330 is 3331321323102.

20132312313330 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 2 + 3 + 12 + 313 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20132312313294 and 20132312313303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313262491 + ... + 313326750.

It is an arithmetic number, because the mean of its divisors is an integer number (507537286020).

Almost surely, 220132312313330 is an apocalyptic number.

20132312313330 is an abundant number, since it is smaller than the sum of its proper divisors (44832460297230).

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

20132312313330 is a wasteful number, since it uses less digits than its factorization.

20132312313330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626589281 (or 626589275 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 20132312313330 its reverse (3331321323102), we get a palindrome (23463633636432).

The spelling of 20132312313330 in words is "twenty trillion, one hundred thirty-two billion, three hundred twelve million, three hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 85 90 102 105 119 126 135 153 170 189 210 238 255 270 306 315 357 378 459 510 595 630 714 765 918 945 1071 1190 1530 1785 1890 2142 2295 3213 3570 4590 5355 6426 10710 16065 32130 626589241 1253178482 1879767723 3132946205 3759535446 4386124687 5639303169 6265892410 8772249374 9398838615 10652017097 11278606338 13158374061 16917909507 18797677230 21304034194 21930623435 26316748122 28196515845 31956051291 33835819014 39475122183 43861246870 53260085485 56393031690 63912102582 65791870305 74564119679 78950244366 84589547535 95868153873 106520170970 118425366549 131583740610 149128239358 159780256455 169179095070 191736307746 197375610915 223692359037 236850733098 287604461619 319560512910 372820598395 394751221830 447384718074 479340769365 575208923238 592126832745 671077077111 745641196790 958681538730 1118461795185 1184253665490 1342154154222 1438022308095 2013231231333 2236923590370 2876044616190 3355385385555 4026462462666 6710770771110 10066156156665 20132312313330