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103221011331 = 32377138311399
BaseRepresentation
bin110000000100001110…
…0111010001110000011
3100212102122112200010200
41200020130322032003
53142344034330311
6115230304300243
710312625056044
oct1401034721603
9325378480120
10103221011331
113a85962a639
1218008611683
13996cc26ac9
144dd2b588cb
152a41dd8556
hex180873a383

103221011331 has 48 divisors (see below), whose sum is σ = 155702476800. Its totient is φ = 65833024320.

The previous prime is 103221011329. The next prime is 103221011381. The reversal of 103221011331 is 133110122301.

103221011331 is a `hidden beast` number, since 1 + 0 + 322 + 1 + 0 + 11 + 331 = 666.

It is not a de Polignac number, because 103221011331 - 21 = 103221011329 is a prime.

It is a super-3 number, since 3×1032210113313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (103221011381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9049570 + ... + 9060968.

It is an arithmetic number, because the mean of its divisors is an integer number (3243801600).

Almost surely, 2103221011331 is an apocalyptic number.

103221011331 is a deficient number, since it is larger than the sum of its proper divisors (52481465469).

103221011331 is a wasteful number, since it uses less digits than its factorization.

103221011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11896 (or 11893 counting only the distinct ones).

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

Adding to 103221011331 its reverse (133110122301), we get a palindrome (236331133632).

The spelling of 103221011331 in words is "one hundred three billion, two hundred twenty-one million, eleven thousand, three hundred thirty-one".

Divisors: 1 3 9 37 71 111 213 333 383 639 1149 2627 3447 7881 11399 14171 23643 27193 34197 42513 81579 102591 127539 244737 421763 809329 1006141 1265289 2427987 3018423 3795867 4365817 7283961 9055269 13097451 29945173 39292353 89835519 161535229 269506557 309973007 484605687 929919021 1453817061 2789757063 11469001259 34407003777 103221011331