Search a number
-
+
31441210204311 = 32194113732733973
BaseRepresentation
bin1110010011000011110100…
…01010100110000010010111
311010022202020222221211200100
413021201322022212002113
513110113044303014221
6150511520443345143
76423360333115425
oct711417212460227
9133282228854610
1031441210204311
11a022162542836
1236396258221b3
131470b7ca536ab
147a9a96b8c115
15397cd0cc4926
hex1c987a2a6097

31441210204311 has 48 divisors (see below), whose sum is σ = 49328789459040. Its totient is φ = 19231863229440.

The previous prime is 31441210204303. The next prime is 31441210204321. The reversal of 31441210204311 is 11340201214413.

It is a happy number.

31441210204311 is a `hidden beast` number, since 3 + 1 + 4 + 412 + 10 + 204 + 31 + 1 = 666.

It is not a de Polignac number, because 31441210204311 - 23 = 31441210204303 is a prime.

It is a super-2 number, since 2×314412102043112 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31441210204301) 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, 15406480 + ... + 17327493.

It is an arithmetic number, because the mean of its divisors is an integer number (1027683113730).

Almost surely, 231441210204311 is an apocalyptic number.

31441210204311 is a deficient number, since it is larger than the sum of its proper divisors (17887579254729).

31441210204311 is a wasteful number, since it uses less digits than its factorization.

31441210204311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32734176 (or 32734173 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 31441210204311 its reverse (11340201214413), we get a palindrome (42781411418724).

The spelling of 31441210204311 in words is "thirty-one trillion, four hundred forty-one billion, two hundred ten million, two hundred four thousand, three hundred eleven".

Divisors: 1 3 9 19 41 57 123 137 171 369 411 779 1233 2337 2603 5617 7011 7809 16851 23427 50553 106723 320169 960507 32733973 98201919 294605757 621945487 1342092893 1865836461 4026278679 4484554301 5597509383 12078836037 13453662903 25499764967 40360988709 76499294901 85206531719 183866726341 229497884703 255619595157 551600179023 766858785471 1654800537069 3493467800479 10480403401437 31441210204311