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20031224321241 = 337105985313869
BaseRepresentation
bin1001000110111111000100…
…00000101001010011011001
32121220222002110112101001000
410203133202000221103121
510111142421411234431
6110334114543415213
74135131261253260
oct443374200512331
977828073471030
1020031224321241
116423215a09801
1222b62285b4509
13b23c23207573
144d37331275d7
1524b0d12019e6
hex1237e20294d9

20031224321241 has 16 divisors (see below), whose sum is σ = 33915300438400. Its totient is φ = 11446413897744.

The previous prime is 20031224321239. The next prime is 20031224321243. The reversal of 20031224321241 is 14212342213002.

20031224321241 is a `hidden beast` number, since 2 + 0 + 0 + 312 + 2 + 4 + 321 + 24 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (20031224321239) and next prime (20031224321243).

It is not a de Polignac number, because 20031224321241 - 21 = 20031224321239 is a prime.

It is a super-2 number, since 2×200312243212412 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20031224321243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52992656746 + ... + 52992657123.

It is an arithmetic number, because the mean of its divisors is an integer number (2119706277400).

Almost surely, 220031224321241 is an apocalyptic number.

20031224321241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20031224321241 is a deficient number, since it is larger than the sum of its proper divisors (13884076117159).

20031224321241 is a wasteful number, since it uses less digits than its factorization.

20031224321241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105985313885 (or 105985313879 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 20031224321241 its reverse (14212342213002), we get a palindrome (34243566534243).

The spelling of 20031224321241 in words is "twenty trillion, thirty-one billion, two hundred twenty-four million, three hundred twenty-one thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 105985313869 317955941607 741897197083 953867824821 2225691591249 2861603474463 6677074773747 20031224321241