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20020333131232 = 257273439398417
BaseRepresentation
bin1001000110101010110001…
…10110000011010111100000
32121212220222102211121001021
410203111120312003113200
510111003120240144412
6110325114123415224
74134264342544600
oct443253066032740
977786872747037
1020020333131232
11641963713a525
1222b40a9084514
13b22ba89b9735
144d2dbc89cc00
1524ab94ea7607
hex123558d835e0

20020333131232 has 144 divisors (see below), whose sum is σ = 46584211877280. Its totient is φ = 8443308367872.

The previous prime is 20020333131217. The next prime is 20020333131287. The reversal of 20020333131232 is 23213133302002.

It is a junction number, because it is equal to n+sod(n) for n = 20020333131197 and 20020333131206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50050488 + ... + 50448904.

It is an arithmetic number, because the mean of its divisors is an integer number (323501471370).

Almost surely, 220020333131232 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 20020333131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23292105938640).

20020333131232 is an abundant number, since it is smaller than the sum of its proper divisors (26563878746048).

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

20020333131232 is a wasteful number, since it uses less digits than its factorization.

20020333131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398953 (or 398938 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 20020333131232 its reverse (23213133302002), we get a palindrome (43233466433234).

The spelling of 20020333131232 in words is "twenty trillion, twenty billion, three hundred thirty-three million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 73 98 112 146 196 224 292 392 439 511 584 784 878 1022 1168 1568 1756 2044 2336 3073 3512 3577 4088 6146 7024 7154 8176 12292 14048 14308 16352 21511 24584 28616 32047 43022 49168 57232 64094 86044 98336 114464 128188 172088 224329 256376 344176 398417 448658 512752 688352 796834 897316 1025504 1570303 1593668 1794632 2788919 3140606 3187336 3589264 5577838 6281212 6374672 7178528 11155676 12562424 12749344 19522433 22311352 25124848 29084441 39044866 44622704 50249696 58168882 78089732 89245408 116337764 156179464 174905063 203591087 232675528 312358928 349810126 407182174 465351056 624717856 699620252 814364348 930702112 1224335441 1399240504 1425137609 1628728696 2448670882 2798481008 2850275218 3257457392 4897341764 5596962016 5700550436 6514914784 8570348087 9794683528 11401100872 12768069599 17140696174 19589367056 22802201744 25536139198 34281392348 39178734112 45604403488 51072278396 68562784696 89376487193 102144556792 137125569392 178752974386 204289113584 274251138784 357505948772 408578227168 625635410351 715011897544 1251270820702 1430023795088 2502541641404 2860047590176 5005083282808 10010166565616 20020333131232