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131230031332232 = 237192346571151483
BaseRepresentation
bin11101110101101001011111…
…011001101100001110001000
3122012122110122111222010212102
4131311221133121230032020
5114200033101010112412
61143034124422132532
736433025340421130
oct3565513731541610
9565573574863772
10131230031332232
11388a5386588758
1212875313b81148
13582bc28885461
1424597d2d69ac0
1510288da9eb8c2
hex775a5f66c388

131230031332232 has 128 divisors (see below), whose sum is σ = 308944078387200. Its totient is φ = 50953797024768.

The previous prime is 131230031332223. The next prime is 131230031332237. The reversal of 131230031332232 is 232233130032131.

It is a super-2 number, since 2×1312300313322322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131230031332195 and 131230031332204.

It is not an unprimeable number, because it can be changed into a prime (131230031332237) 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, 113390363 + ... + 114541845.

It is an arithmetic number, because the mean of its divisors is an integer number (2413625612400).

Almost surely, 2131230031332232 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 131230031332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154472039193600).

131230031332232 is an abundant number, since it is smaller than the sum of its proper divisors (177714047054968).

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

131230031332232 is a wasteful number, since it uses less digits than its factorization.

131230031332232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156195 (or 1156191 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 131230031332232 its reverse (232233130032131), we get a palindrome (363463161364363).

The spelling of 131230031332232 in words is "one hundred thirty-one trillion, two hundred thirty billion, thirty-one million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 23 28 38 46 56 76 92 133 152 161 184 266 322 437 532 644 874 1064 1288 1748 3059 3496 4657 6118 9314 12236 18628 24472 32599 37256 65198 88483 107111 130396 176966 214222 260792 353932 428444 619381 707864 749777 856888 1151483 1238762 1499554 2035109 2302966 2477524 2999108 4070218 4605932 4955048 5998216 8060381 8140436 9211864 14245763 16120762 16280872 21878177 26484109 28491526 32241524 43756354 52968218 56983052 64483048 87512708 105936436 113966104 153147239 175025416 185388763 211872872 306294478 370777526 503198071 612588956 741555052 1006396142 1225177912 1483110104 2012792284 3522386497 4025584568 5362456331 7044772994 10724912662 14089545988 21449825324 28179091976 37537194317 42899650648 75074388634 101886670289 123336495613 150148777268 203773340578 246672991226 300297554536 407546681156 493345982452 713206692023 815093362312 863355469291 986691964904 1426413384046 1726710938582 2343393416647 2852826768092 3453421877164 4686786833294 5705653536184 6906843754328 9373573666588 16403753916529 18747147333176 32807507833058 65615015666116 131230031332232