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20401114214201 = 7196721121615021
BaseRepresentation
bin1001010001110000000010…
…01010100110111100111001
32200020022211201121211012012
410220320001022212330321
510133222440214323301
6111220050435455305
74203634425416540
oct450700112467471
980208751554165
1020401114214201
116556078133016
122355a57a57535
13b4ca8070b806
145075c23bd157
15255a2e4c1ebb
hex128e012a6f39

20401114214201 has 64 divisors (see below), whose sum is σ = 25043622819840. Its totient is φ = 16230969216000.

The previous prime is 20401114214191. The next prime is 20401114214207. The reversal of 20401114214201 is 10241241110402.

It is not a de Polignac number, because 20401114214201 - 226 = 20401047105337 is a prime.

It is a super-2 number, since 2×204011142142012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20401114214207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4063155071 + ... + 4063160091.

It is an arithmetic number, because the mean of its divisors is an integer number (391306606560).

Almost surely, 220401114214201 is an apocalyptic number.

It is an amenable number.

20401114214201 is a deficient number, since it is larger than the sum of its proper divisors (4642508605639).

20401114214201 is a wasteful number, since it uses less digits than its factorization.

20401114214201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7486.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 20401114214201 its reverse (10241241110402), we get a palindrome (30642355324603).

The spelling of 20401114214201 in words is "twenty trillion, four hundred one billion, one hundred fourteen million, two hundred fourteen thousand, two hundred one".

Divisors: 1 7 19 67 133 211 469 1273 1477 2161 4009 5021 8911 14137 15127 28063 35147 41059 95399 98959 144787 268603 287413 336407 455971 667793 1013509 1059431 1880221 2354849 2750953 3191797 6391733 7416017 8663449 10850381 19256671 20129189 30550057 44742131 60644143 70981877 75952667 140904323 206157239 213850399 496873139 580451083 726975527 1348655663 1443100673 2289430391 4063157581 5088828689 9440589641 13812535013 16026012737 43499177429 96687745091 153391836197 304494242003 1073742853379 2914444887743 20401114214201