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132131223320 = 23529976311861
BaseRepresentation
bin111101100001110100…
…0100111011100011000
3110122001110012121101212
41323003220213130120
54131101043121240
6140411130402252
712355222603265
oct1730350473430
9418043177355
10132131223320
11510446a3818
1221736590388
13c5c95a5415
14657656226c
153684ee7165
hex1ec3a27718

132131223320 has 128 divisors (see below), whose sum is σ = 311377046400. Its totient is φ = 50396774400.

The previous prime is 132131223313. The next prime is 132131223397. The reversal of 132131223320 is 23322131231.

It is a congruent number.

It is an unprimeable number.

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, 70999190 + ... + 71001050.

It is an arithmetic number, because the mean of its divisors is an integer number (2432633175).

Almost surely, 2132131223320 is an apocalyptic number.

132131223320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132131223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155688523200).

132131223320 is an abundant number, since it is smaller than the sum of its proper divisors (179245823080).

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

132131223320 is a wasteful number, since it uses less digits than its factorization.

132131223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 132131223320 its reverse (23322131231), we get a palindrome (155453354551).

The spelling of 132131223320 in words is "one hundred thirty-two billion, one hundred thirty-one million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 97 116 145 194 232 290 388 485 580 631 776 970 1160 1262 1861 1940 2524 2813 3155 3722 3880 5048 5626 6310 7444 9305 11252 12620 14065 14888 18299 18610 22504 25240 28130 36598 37220 53969 56260 61207 73196 74440 91495 107938 112520 122414 146392 180517 182990 215876 244828 269845 306035 361034 365980 431752 489656 539690 612070 722068 731960 902585 1079380 1174291 1224140 1444136 1775003 1805170 2158760 2348582 2448280 3550006 3610340 4697164 5234993 5871455 7100012 7220680 8875015 9394328 10469986 11742910 14200024 17750030 20939972 23485820 26174965 34054439 35500060 41879944 46971640 52349930 68108878 71000120 104699860 113906227 136217756 170272195 209399720 227812454 272435512 340544390 455624908 569531135 681088780 911249816 1139062270 1362177560 2278124540 3303280583 4556249080 6606561166 13213122332 16516402915 26426244664 33032805830 66065611660 132131223320