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20115465562101 = 37213409110323333
BaseRepresentation
bin1001001001011011111110…
…01011011110011111110101
32122020000112101021210201210
410210231333023132133311
510114032433140441401
6110440530045512033
74144202663062500
oct444557713363765
978200471253653
1020115465562101
116455a1499a918
12230a618872619
13b2bb59c27650
144d7845292137
1524d3b1be94d6
hex124b7f2de7f5

20115465562101 has 96 divisors (see below), whose sum is σ = 33713590417920. Its totient is φ = 10574364036096.

The previous prime is 20115465562097. The next prime is 20115465562117. The reversal of 20115465562101 is 10126556451102.

It is not a de Polignac number, because 20115465562101 - 22 = 20115465562097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20115465562101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20115465562301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 862092031 + ... + 862115363.

It is an arithmetic number, because the mean of its divisors is an integer number (351183233520).

Almost surely, 220115465562101 is an apocalyptic number.

20115465562101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20115465562101 is a deficient number, since it is larger than the sum of its proper divisors (13598124855819).

20115465562101 is a wasteful number, since it uses less digits than its factorization.

20115465562101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24875 (or 24868 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 20115465562101 in words is "twenty trillion, one hundred fifteen billion, four hundred sixty-five million, five hundred sixty-two thousand, one hundred one".

Divisors: 1 3 7 13 21 39 49 91 147 273 409 637 1103 1227 1911 2863 3309 5317 7721 8589 14339 15951 20041 23163 23333 37219 43017 54047 60123 69999 100373 111657 162141 163331 260533 301119 303329 451127 489993 702611 781599 909987 1143317 1353381 2107833 2123303 3157889 3429951 5864651 6369909 9473667 9543197 14863121 17593953 22105223 25736299 28629591 41052557 44589363 66315669 66802379 77208897 123157671 124061561 180154093 200407137 287367899 334571887 372184683 467616653 540462279 862103697 868430927 1003715661 1261078651 1402849959 2342003209 2605292781 3783235953 6079016489 7026009627 10526146291 16394022463 18237049467 31578438873 49182067389 73683024037 136839901783 221049072111 410519705349 515781168259 957879312481 1547343504777 2873637937443 6705155187367 20115465562101