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20381205120270 = 23519571190132941
BaseRepresentation
bin1001010001001010111100…
…11111011100010100001110
32200011102110020011001121220
410220211132133130110032
510132411202002322040
6111202555114504210
74202331156051111
oct450453637342416
980142406131556
1020381205120270
116548690a54085
122352020435066
13b4ac29b12367
145066541dc578
152552667112d0
hex12895e7dc50e

20381205120270 has 128 divisors (see below), whose sum is σ = 51608233797120. Its totient is φ = 5137058880000.

The previous prime is 20381205120257. The next prime is 20381205120281. The reversal of 20381205120270 is 7202150218302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 618702000 + ... + 618734940.

It is an arithmetic number, because the mean of its divisors is an integer number (403189326540).

Almost surely, 220381205120270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20381205120270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25804116898560).

20381205120270 is an abundant number, since it is smaller than the sum of its proper divisors (31227028676850).

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

20381205120270 is a wasteful number, since it uses less digits than its factorization.

20381205120270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35442.

The product of its (nonzero) digits is 13440, while the sum is 33.

Adding to 20381205120270 its reverse (7202150218302), we get a palindrome (27583355338572).

The spelling of 20381205120270 in words is "twenty trillion, three hundred eighty-one billion, two hundred five million, one hundred twenty thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 571 1142 1713 1901 2855 3426 3802 5703 5710 8565 9505 10849 11406 17130 19010 21698 28515 32547 32941 36119 54245 57030 65094 65882 72238 98823 108357 108490 162735 164705 180595 197646 216714 325470 329410 361190 494115 541785 625879 988230 1083570 1085471 1251758 1877637 2170942 3129395 3256413 3755274 5427355 6258790 6512826 9388185 10854710 16282065 18776370 18809311 20623949 32564130 37618622 41247898 56427933 61871847 62620841 94046555 103119745 112855866 123743694 125241682 187862523 188093110 206239490 282139665 309359235 313104205 357376909 375725046 564279330 618718470 626208410 714753818 939312615 1072130727 1189795979 1786884545 1878625230 2144261454 2379591958 3569387937 3573769090 5360653635 5948979895 7138775874 10721307270 11897959790 17846939685 35693879370 35756500211 71513000422 107269500633 178782501055 214539001266 357565002110 536347503165 679373504009 1072695006330 1358747008018 2038120512027 3396867520045 4076241024054 6793735040090 10190602560135 20381205120270