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132213141302 = 211172293123131
BaseRepresentation
bin111101100100010000…
…1000110111100110110
3110122021011100110202012
41323020201012330312
54131233031010202
6140423214244222
712360236105234
oct1731041067466
9418234313665
10132213141302
1151086964a30
1221759ab6672
13c6105577b8
1465833a7954
15368c2c9152
hex1ec8846f36

132213141302 has 96 divisors (see below), whose sum is σ = 245428669440. Its totient is φ = 52847424000.

The previous prime is 132213141301. The next prime is 132213141317. The reversal of 132213141302 is 203141312231.

It is a super-3 number, since 3×1322131413023 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132213141301) 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 47 ways as a sum of consecutive naturals, for example, 5704277 + ... + 5727407.

It is an arithmetic number, because the mean of its divisors is an integer number (2556548640).

Almost surely, 2132213141302 is an apocalyptic number.

132213141302 is a deficient number, since it is larger than the sum of its proper divisors (113215528138).

132213141302 is a wasteful number, since it uses less digits than its factorization.

132213141302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23238 (or 23221 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 132213141302 its reverse (203141312231), we get a palindrome (335354453533).

The spelling of 132213141302 in words is "one hundred thirty-two billion, two hundred thirteen million, one hundred forty-one thousand, three hundred two".

Divisors: 1 2 11 17 22 29 31 34 58 62 187 289 319 341 374 493 527 578 638 682 899 986 1054 1798 3179 5423 5797 6358 8381 8959 9889 10846 11594 15283 16762 17918 19778 23131 30566 46262 92191 98549 168113 184382 197098 254441 259811 336226 393227 508882 519622 670799 717061 786454 1341598 1434122 2857921 4325497 5715842 6684859 7378789 7887671 8650994 11403583 12190037 13369718 14757578 15775342 20794769 22807166 24380074 41589538 73533449 125439413 134090407 147066898 193860911 207230629 228742459 250878826 268180814 353511073 387721822 414461258 457484918 707022146 2132470021 2279536919 3888621803 4264940042 4559073838 6009688241 7777243606 12019376482 66106570651 132213141302