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10021422004242 = 23111012836018839
BaseRepresentation
bin1001000111010100101101…
…0011000111100000010010
31022111001001010111211011220
42101311023103013200102
52303142333013113432
633151435552545510
72053011115361205
oct221651323074022
938431033454156
1010021422004242
113214074510960
12115a275b52296
1357902931738c
1426907a21393c
15125a3094d72c
hex91d4b4c7812

10021422004242 has 128 divisors (see below), whose sum is σ = 22198813378560. Its totient is φ = 2990779200000.

The previous prime is 10021422004147. The next prime is 10021422004361. The reversal of 10021422004242 is 24240022412001.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1133768859 + ... + 1133777697.

It is an arithmetic number, because the mean of its divisors is an integer number (173428229520).

Almost surely, 210021422004242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021422004242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11099406689280).

10021422004242 is an abundant number, since it is smaller than the sum of its proper divisors (12177391374318).

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

10021422004242 is a wasteful number, since it uses less digits than its factorization.

10021422004242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9840.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10021422004242 its reverse (24240022412001), we get a palindrome (34261444416243).

The spelling of 10021422004242 in words is "ten trillion, twenty-one billion, four hundred twenty-two million, four thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 101 202 283 303 566 601 606 849 1111 1202 1698 1803 2222 3113 3333 3606 6226 6611 6666 8839 9339 13222 17678 18678 19833 26517 28583 39666 53034 57166 60701 85749 97229 121402 170083 171498 182103 194458 291687 314413 340166 364206 510249 583374 628826 667711 892739 943239 1020498 1335422 1785478 1870913 1886478 2003133 2501437 2678217 3741826 4006266 5002874 5312239 5356434 5612739 7504311 9820129 10624478 11225478 15008622 15936717 17178383 19640258 27515807 29460387 31873434 34356766 51535149 55031614 58434629 58920774 82547421 103070298 116869258 165094842 175303887 188962213 252645137 350607774 377924426 505290274 536536139 566886639 757935411 1073072278 1133773278 1503363637 1515870822 1609608417 2779096507 3006727274 3219216834 4510090911 5558193014 5901897529 8337289521 9020181822 11803795058 16537000007 16674579042 17705692587 33074000014 35411385174 49611000021 99222000042 151839727337 303679454674 455519182011 911038364022 1670237000707 3340474001414 5010711002121 10021422004242