Search a number
-
+
31142222224113 = 37111310370370371
BaseRepresentation
bin1110001010010110111010…
…00101111101101011110001
311002021011112000022202010010
413011023131011331223301
513040213232342132423
6150122312301325133
76362644204165110
oct705133505755361
9132234460282103
1031142222224113
119a17384629a40
1235ab6a32667a9
13144b9117acc90
14799412205c77
153901323bd693
hex1c52dd17daf1

31142222224113 has 32 divisors (see below), whose sum is σ = 55751111119872. Its totient is φ = 14933333332800.

The previous prime is 31142222224103. The next prime is 31142222224147.

31142222224113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31142222224113 - 218 = 31142221961969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31142222224103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5185182183 + ... + 5185188188.

It is an arithmetic number, because the mean of its divisors is an integer number (1742222222496).

Almost surely, 231142222224113 is an apocalyptic number.

31142222224113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31142222224113 is a deficient number, since it is larger than the sum of its proper divisors (24608888895759).

31142222224113 is a wasteful number, since it uses less digits than its factorization.

31142222224113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10370370405.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 3114222 and 2224113, that added together give a palindrome (5338335).

The spelling of 31142222224113 in words is "thirty-one trillion, one hundred forty-two billion, two hundred twenty-two million, two hundred twenty-four thousand, one hundred thirteen".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 10370370371 31111111113 72592592597 114074074081 134814814823 217777777791 342222222243 404444444469 798518518567 943703703761 1482962963053 2395555555701 2831111111283 4448888889159 10380740741371 31142222224113