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21321040310024 = 2371361808759369
BaseRepresentation
bin1001101100100001100010…
…00010001010111100001000
32210111021022221212110012112
410312100301002022330020
510243310442304410044
6113202430052401452
74330252153260110
oct466206102127410
983437287773175
1021321040310024
1168802254645a4
1224841b1316288
13bb8747467960
14539d2dd30040
1526e92101c09e
hex13643108af08

21321040310024 has 128 divisors (see below), whose sum is σ = 50016023769600. Its totient is φ = 8295257917440.

The previous prime is 21321040310021. The next prime is 21321040310027. The reversal of 21321040310024 is 42001304012312.

It is an interprime number because it is at equal distance from previous prime (21321040310021) and next prime (21321040310027).

It is not an unprimeable number, because it can be changed into a prime (21321040310021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359097812 + ... + 359157180.

It is an arithmetic number, because the mean of its divisors is an integer number (390750185700).

Almost surely, 221321040310024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21321040310024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25008011884800).

21321040310024 is an abundant number, since it is smaller than the sum of its proper divisors (28694983459576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21321040310024 is a wasteful number, since it uses less digits than its factorization.

21321040310024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67543 (or 67539 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 21321040310024 its reverse (42001304012312), we get a palindrome (63322344322336).

The spelling of 21321040310024 in words is "twenty-one trillion, three hundred twenty-one billion, forty million, three hundred ten thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 61 91 104 122 182 244 364 427 488 728 793 854 1586 1708 3172 3416 5551 6344 8087 11102 16174 22204 32348 44408 56609 59369 64696 105131 113218 118738 210262 226436 237476 415583 420524 452872 474952 493307 735917 771797 831166 841048 986614 1471834 1543594 1662332 1973228 2943668 3087188 3324664 3453149 3621509 3946456 5402579 5887336 6174376 6412991 6906298 7243018 10805158 12825982 13812596 14486036 21610316 25350563 25651964 27625192 28972072 43220632 44890937 47079617 50701126 51303928 89781874 94159234 101402252 179563748 188318468 202804504 329557319 359127496 376636936 480117103 659114638 960234206 1318229276 1920468412 2636458552 3360819721 3840936824 6241522339 6721639442 12483044678 13443278884 24966089356 26886557768 29287143283 43690656373 49932178712 58574286566 87381312746 117148573132 174762625492 205010002981 234297146264 349525250984 380732862679 410020005962 761465725358 820040011924 1522931450716 1640080023848 2665130038753 3045862901432 5330260077506 10660520155012 21321040310024