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20105055201 = 3721128811283
BaseRepresentation
bin10010101110010110…
…101100101111100001
31220220011012121220010
4102232112230233201
5312133343231301
613123001035133
71311136102200
oct225626545741
956804177803
1020105055201
118587863600
123a91185aa9
131b8539b38a
14d8a231237
157ca0bd5d6
hex4ae5acbe1

20105055201 has 72 divisors (see below), whose sum is σ = 34341566112. Its totient is φ = 10424198400.

The previous prime is 20105055199. The next prime is 20105055203. The reversal of 20105055201 is 10255050102.

It is an interprime number because it is at equal distance from previous prime (20105055199) and next prime (20105055203).

It is not a de Polignac number, because 20105055201 - 21 = 20105055199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (20105055203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15669706 + ... + 15670988.

It is an arithmetic number, because the mean of its divisors is an integer number (476966196).

Almost surely, 220105055201 is an apocalyptic number.

20105055201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20105055201 is a deficient number, since it is larger than the sum of its proper divisors (14236510911).

20105055201 is a wasteful number, since it uses less digits than its factorization.

20105055201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The spelling of 20105055201 in words is "twenty billion, one hundred five million, fifty-five thousand, two hundred one".

Divisors: 1 3 7 11 21 33 49 77 121 147 231 363 539 847 881 1283 1617 2541 2643 3849 5929 6167 8981 9691 14113 17787 18501 26943 29073 42339 43169 62867 67837 98791 106601 129507 155243 188601 203511 296373 319803 465729 474859 691537 746207 1086701 1130323 1424577 2074611 2238621 3260103 3390969 5223449 7606907 7912261 12433553 15670347 22820721 23736783 37300659 55385827 87034871 136769083 166157481 261104613 410307249 609244097 957383581 1827732291 2872150743 6701685067 20105055201