Search a number
-
+
31220003424 = 253476919327
BaseRepresentation
bin11101000100110110…
…110111001001100000
32222120202221111110010
4131010312313021200
51002414310102144
622201533004520
72153442436101
oct350466671140
988522844403
1031220003424
1112270972725
126073623740
132c3707140c
1417224a43a8
15c2acb65b9
hex744db7260

31220003424 has 48 divisors (see below), whose sum is σ = 83696191488. Its totient is φ = 10185247872.

The previous prime is 31220003371. The next prime is 31220003429. The reversal of 31220003424 is 42430002213.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×312200034242 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31220003424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31220003429) 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 7 ways as a sum of consecutive naturals, for example, 3455152 + ... + 3464175.

It is an arithmetic number, because the mean of its divisors is an integer number (1743670656).

Almost surely, 231220003424 is an apocalyptic number.

It is an amenable number.

31220003424 is an abundant number, since it is smaller than the sum of its proper divisors (52476188064).

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

31220003424 is a wasteful number, since it uses less digits than its factorization.

31220003424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6919387 (or 6919379 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 31220003424 its reverse (42430002213), we get a palindrome (73650005637).

The spelling of 31220003424 in words is "thirty-one billion, two hundred twenty million, three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 6919327 13838654 20757981 27677308 41515962 55354616 83031924 110709232 166063848 221418464 325208369 332127696 650416738 664255392 975625107 1300833476 1951250214 2601666952 3902500428 5203333904 7805000856 10406667808 15610001712 31220003424