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120423324021 = 371113374612351
BaseRepresentation
bin111000000100111001…
…0100001100101110101
3102111211111201200212220
41300021302201211311
53433111332332041
6131153253432553
711462126236140
oct1601162414565
9374744650786
10120423324021
1147086910790
121b40963b759
13b481b04060
145b8565d057
1531ec224d66
hex1c09ca1975

120423324021 has 128 divisors (see below), whose sum is σ = 221984243712. Its totient is φ = 56039040000.

The previous prime is 120423324019. The next prime is 120423324113.

It is a happy number.

120423324021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120423324021 - 21 = 120423324019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120423323982 and 120423324000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120423324821) 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 127 ways as a sum of consecutive naturals, for example, 51220996 + ... + 51223346.

It is an arithmetic number, because the mean of its divisors is an integer number (1734251904).

Almost surely, 2120423324021 is an apocalyptic number.

120423324021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120423324021 is a deficient number, since it is larger than the sum of its proper divisors (101560919691).

120423324021 is a wasteful number, since it uses less digits than its factorization.

120423324021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 120423 and 324021, that added together give a palindrome (444444).

The spelling of 120423324021 in words is "one hundred twenty billion, four hundred twenty-three million, three hundred twenty-four thousand, twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 461 481 777 1001 1221 1383 1443 2351 2849 3003 3227 3367 5071 5291 5993 7053 8547 9681 10101 15213 15873 16457 17057 17979 25861 30563 35497 37037 41951 49371 51171 65923 77583 86987 91689 106491 111111 119399 125853 181027 187627 197769 213941 221741 260961 336193 358197 461461 543081 562881 608909 641823 665223 956857 1008579 1083811 1130831 1313389 1384383 1552187 1826727 2353351 2439151 2870571 3251433 3392493 3940167 4656561 6697999 7060053 7317453 7586677 7915817 11921921 12439141 14089543 17074057 20093997 22760031 23747451 35765763 37317423 40101007 42268629 51222171 83453447 87073987 98626801 120303021 154984973 250360341 261221961 280707049 295880403 441111077 464954919 521313091 842121147 1084894811 1323333231 1563939273 3087777539 3254684433 3649191637 5734444001 9263332617 10947574911 17203332003 40141108007 120423324021