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31220123011 = 71119891631471
BaseRepresentation
bin11101000100110111…
…010100010110000011
32222120210011120111021
4131010313110112003
51002414322414021
622201535330311
72153443444540
oct350467242603
988523146437
1031220123011
1112270a44560
126073680997
132c370b398c
1417224d5bc7
15c2acdbc41
hex744dd4583

31220123011 has 64 divisors (see below), whose sum is σ = 41715302400. Its totient is φ = 22632825600.

The previous prime is 31220123003. The next prime is 31220123021. The reversal of 31220123011 is 11032102213.

It is not a de Polignac number, because 31220123011 - 23 = 31220123003 is a prime.

It is a super-2 number, since 2×312201230112 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31220123021) 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 63 ways as a sum of consecutive naturals, for example, 21223006 + ... + 21224476.

It is an arithmetic number, because the mean of its divisors is an integer number (651801600).

Almost surely, 231220123011 is an apocalyptic number.

31220123011 is a deficient number, since it is larger than the sum of its proper divisors (10495179389).

31220123011 is a wasteful number, since it uses less digits than its factorization.

31220123011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31220123011 its reverse (11032102213), we get a palindrome (42252225224).

The spelling of 31220123011 in words is "thirty-one billion, two hundred twenty million, one hundred twenty-three thousand, eleven".

Divisors: 1 7 11 19 77 89 133 163 209 623 979 1141 1463 1471 1691 1793 3097 6853 10297 11837 12551 14507 16181 18601 21679 27949 34067 101549 113267 130207 130919 159577 195643 238469 239773 275633 307439 916433 1117039 1440109 1678411 1929431 2152073 2487461 2637503 3031963 4555687 10080763 17412227 18462521 21223741 21339797 27362071 31889809 50112557 149378579 191534497 234737767 350787899 405456143 1643164369 2838193001 4460017573 31220123011