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31121323101 = 32114126329153
BaseRepresentation
bin11100111110111110…
…011011010001011101
32222022220021000111100
4130332332123101131
51002214024314401
622144045543313
72151133611261
oct347676332135
988286230440
1031121323101
11122201a2740
126046574b39
132c1c7a04ab
1417133380a1
15c222c2b86
hex73ef9b45d

31121323101 has 48 divisors (see below), whose sum is σ = 50428490112. Its totient is φ = 18330777600.

The previous prime is 31121323081. The next prime is 31121323193. The reversal of 31121323101 is 10132312113.

31121323101 is a `hidden beast` number, since 311 + 21 + 323 + 10 + 1 = 666.

It is not a de Polignac number, because 31121323101 - 226 = 31054214237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31121323601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1052941 + ... + 1082093.

It is an arithmetic number, because the mean of its divisors is an integer number (1050593544).

Almost surely, 231121323101 is an apocalyptic number.

It is an amenable number.

31121323101 is a deficient number, since it is larger than the sum of its proper divisors (19307167011).

31121323101 is a wasteful number, since it uses less digits than its factorization.

31121323101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29474 (or 29471 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31121323101 its reverse (10132312113), we get a palindrome (41253635214).

The spelling of 31121323101 in words is "thirty-one billion, one hundred twenty-one million, three hundred twenty-three thousand, one hundred one".

Divisors: 1 3 9 11 33 41 99 123 263 369 451 789 1353 2367 2893 4059 8679 10783 26037 29153 32349 87459 97047 118613 262377 320683 355839 962049 1067517 1195273 2886147 3585819 7667239 10757457 13148003 23001717 39444009 69005151 84339629 118332027 253018887 314356799 759056661 943070397 2829211191 3457924789 10373774367 31121323101