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21201444001124 = 22172398581152027
BaseRepresentation
bin1001101001000010110001…
…00010011101010101100100
32210001211122002022110210022
410310201120202131111210
510234331024131013444
6113031450420414312
74315516355361512
oct464413042352544
983054562273708
1021201444001124
116834533466592
122464b94847398
13baa397ab4c7a
1453422646d4b2
1526b7717089ee
hex13485889d564

21201444001124 has 48 divisors (see below), whose sum is σ = 39454257911040. Its totient is φ = 9934181537280.

The previous prime is 21201444001123. The next prime is 21201444001181. The reversal of 21201444001124 is 42110044410212.

It is a super-2 number, since 2×212014440011242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21201444001093 and 21201444001102.

It is not an unprimeable number, because it can be changed into a prime (21201444001123) 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, 139382399 + ... + 139534425.

It is an arithmetic number, because the mean of its divisors is an integer number (821963706480).

Almost surely, 221201444001124 is an apocalyptic number.

It is an amenable number.

21201444001124 is a deficient number, since it is larger than the sum of its proper divisors (18252813909916).

21201444001124 is a wasteful number, since it uses less digits than its factorization.

21201444001124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160868 (or 160866 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 21201444001124 its reverse (42110044410212), we get a palindrome (63311488411336).

The spelling of 21201444001124 in words is "twenty-one trillion, two hundred one billion, four hundred forty-four million, one thousand, one hundred twenty-four".

Divisors: 1 2 4 17 34 68 239 478 956 4063 8126 8581 16252 17162 34324 145877 152027 291754 304054 583508 608108 2050859 2584459 4101718 5168918 8203436 10337836 34864603 36334453 69729206 72668906 139458412 145337812 617685701 1235371402 1304543687 2470742804 2609087374 5218174748 22177242679 44354485358 88708970716 311785941193 623571882386 1247143764772 5300361000281 10600722000562 21201444001124