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131213111322 = 23374770917737
BaseRepresentation
bin111101000110011101…
…0010011000000011010
3110112200110121200111210
41322030322103000122
54122211024030242
6140140052203550
712323404021026
oct1721472230032
9415613550453
10131213111322
1150713420677
122151b0095b6
13c4b1309a97
1464ca64d386
15362e5ddd9c
hex1e8ce9301a

131213111322 has 64 divisors (see below), whose sum is σ = 275657034240. Its totient is φ = 41589075456.

The previous prime is 131213111311. The next prime is 131213111329. The reversal of 131213111322 is 223111312131.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131213111329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7388838 + ... + 7406574.

It is an arithmetic number, because the mean of its divisors is an integer number (4307141160).

Almost surely, 2131213111322 is an apocalyptic number.

131213111322 is an abundant number, since it is smaller than the sum of its proper divisors (144443922918).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131213111322 is a wasteful number, since it uses less digits than its factorization.

131213111322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18535.

The product of its digits is 216, while the sum is 21.

Adding to 131213111322 its reverse (223111312131), we get a palindrome (354324423453).

The spelling of 131213111322 in words is "one hundred thirty-one billion, two hundred thirteen million, one hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 37 47 74 94 111 141 222 282 709 1418 1739 2127 3478 4254 5217 10434 17737 26233 33323 35474 52466 53211 66646 78699 99969 106422 157398 199938 656269 833639 1232951 1312538 1667278 1968807 2465902 2500917 3698853 3937614 5001834 7397706 12575533 25151066 30844643 37726599 61689286 75453198 92533929 185067858 465294721 591050051 930589442 1182100102 1395884163 1773150153 2791768326 3546300306 21868851887 43737703774 65606555661 131213111322