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131322333212 = 227194723322541
BaseRepresentation
bin111101001001101101…
…0111100100000011100
3110112222002010201202222
41322103122330200130
54122422004130322
6140154553204512
712326201262140
oct1722332744034
9415862121688
10131322333212
115076a0406a4
122154b700738
13c4cab2bc15
1464dad61220
153638eb5e42
hex1e936bc81c

131322333212 has 96 divisors (see below), whose sum is σ = 283574753280. Its totient is φ = 51958126080.

The previous prime is 131322333211. The next prime is 131322333277. The reversal of 131322333212 is 212333223131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131322333211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5814662 + ... + 5837202.

It is an arithmetic number, because the mean of its divisors is an integer number (2953903680).

Almost surely, 2131322333212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131322333212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141787376640).

131322333212 is an abundant number, since it is smaller than the sum of its proper divisors (152252420068).

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

131322333212 is a wasteful number, since it uses less digits than its factorization.

131322333212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22851 (or 22849 counting only the distinct ones).

The product of its digits is 3888, while the sum is 26.

Adding to 131322333212 its reverse (212333223131), we get a palindrome (343655556343).

The spelling of 131322333212 in words is "one hundred thirty-one billion, three hundred twenty-two million, three hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 47 76 94 133 188 233 266 329 466 532 658 893 932 1316 1631 1786 3262 3572 4427 6251 6524 8854 10951 12502 17708 21902 22541 25004 30989 43804 45082 61978 76657 90164 123956 153314 157787 208069 306628 315574 416138 428279 631148 832276 856558 1059427 1456483 1713116 2118854 2912966 2997953 4237708 5252053 5825932 5995906 7415989 10504106 11991812 14831978 20129113 21008212 29663956 36764371 40258226 73528742 80516452 99789007 140903791 147057484 199578014 246846491 281807582 399156028 493692982 563615164 698523049 987385964 1397046098 1727925437 2794092196 3455850874 4690083329 6911701748 9380166658 18760333316 32830583303 65661166606 131322333212