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21042144124012 = 22117313747818273
BaseRepresentation
bin1001100100011010000011…
…00001101001110001101100
32202111121110012111020211201
410302031001201221301230
510224223302343432022
6112430343315255244
74301146642641064
oct462150141516154
982447405436751
1021042144124012
116782a17877090
12243a1375aa524
13b9835b8cb65b
1452a6339263a4
1526754b465127
hex132341869c6c

21042144124012 has 48 divisors (see below), whose sum is σ = 41018897983392. Its totient is φ = 9364730388480.

The previous prime is 21042144123989. The next prime is 21042144124019.

21042144124012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×210421441240122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21042144124019) 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 15 ways as a sum of consecutive naturals, for example, 23469093 + ... + 24349180.

It is an arithmetic number, because the mean of its divisors is an integer number (854560374654).

Almost surely, 221042144124012 is an apocalyptic number.

21042144124012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21042144124012 is a deficient number, since it is larger than the sum of its proper divisors (19976753859380).

21042144124012 is a wasteful number, since it uses less digits than its factorization.

21042144124012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47818498 (or 47818496 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 2104214 and 4124012, that added together give a palindrome (6228226).

The spelling of 21042144124012 in words is "twenty-one trillion, forty-two billion, one hundred forty-four million, one hundred twenty-four thousand, twelve".

Divisors: 1 2 4 11 22 44 73 137 146 274 292 548 803 1507 1606 3014 3212 6028 10001 20002 40004 110011 220022 440044 47818273 95636546 191273092 526001003 1052002006 2104004012 3490733929 6551103401 6981467858 13102206802 13962935716 26204413604 38398073219 72062137411 76796146438 144124274822 153592292876 288248549644 478230548273 956461096546 1912922193092 5260536031003 10521072062006 21042144124012