Search a number
-
+
31033411433013 = 3112973911225353
BaseRepresentation
bin1110000111001100001110…
…11101101111001000110101
311001212202122210121211200010
413003212013131233020311
513031422411311324023
6150000315152410433
76352042602550023
oct703460735571065
9131782583554603
1031033411433013
119985217795100
123592596846a19
1314415907998a2
1479404cd43713
1538c3b48ce093
hex1c398776f235

31033411433013 has 48 divisors (see below), whose sum is σ = 45962307635328. Its totient is φ = 18609387878400.

The previous prime is 31033411432949. The next prime is 31033411433039.

31033411433013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31033411433013 - 26 = 31033411432949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31033411433513) 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, 137597545 + ... + 137822897.

It is an arithmetic number, because the mean of its divisors is an integer number (957548075736).

Almost surely, 231033411433013 is an apocalyptic number.

31033411433013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31033411433013 is a deficient number, since it is larger than the sum of its proper divisors (14928896202315).

31033411433013 is a wasteful number, since it uses less digits than its factorization.

31033411433013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229386 (or 229375 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 3103341 and 1433013, that added together give a palindrome (4536354).

The spelling of 31033411433013 in words is "thirty-one trillion, thirty-three billion, four hundred eleven million, four hundred thirty-three thousand, thirteen".

Divisors: 1 3 11 33 97 121 291 363 1067 3201 3911 11733 11737 35211 43021 129063 225353 379367 473231 676059 1138101 1419693 2478883 4173037 7436649 12519111 21859241 27267713 45903407 65577723 81803139 137710221 240451651 721354953 881355583 2644066749 2644968161 7934904483 9694911413 29084734239 85491491551 106644025543 256474474653 319932076629 940406407061 2821219221183 10344470477671 31033411433013