Search a number
-
+
132003331223001 = 371947193170921341
BaseRepresentation
bin11110000000111001101011…
…101010101010110111011001
3122022101101200010010210121120
4132000321223222222313121
5114300220310243114001
61144425254310355453
736542632414143120
oct3600715352526731
9568341603123546
10132003331223001
1139073331179177
121297b16865bb89
135886b26011414
142484dd1234ab7
15103da99c45236
hex780e6baaadd9

132003331223001 has 128 divisors (see below), whose sum is σ = 217497448857600. Its totient is φ = 69533660528640.

The previous prime is 132003331222993. The next prime is 132003331223011. The reversal of 132003331223001 is 100322133300231.

It is not a de Polignac number, because 132003331223001 - 23 = 132003331222993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132003331223011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6185422591 + ... + 6185443931.

It is an arithmetic number, because the mean of its divisors is an integer number (1699198819200).

Almost surely, 2132003331223001 is an apocalyptic number.

It is an amenable number.

132003331223001 is a deficient number, since it is larger than the sum of its proper divisors (85494117634599).

132003331223001 is a wasteful number, since it uses less digits than its factorization.

132003331223001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23319.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132003331223001 its reverse (100322133300231), we get a palindrome (232325464523232).

The spelling of 132003331223001 in words is "one hundred thirty-two trillion, three billion, three hundred thirty-one million, two hundred twenty-three thousand, one".

Divisors: 1 3 7 19 21 47 57 133 141 193 329 399 579 893 987 1351 1709 2679 3667 4053 5127 6251 9071 11001 11963 18753 21341 25669 27213 32471 35889 63497 64023 77007 80323 97413 149387 172349 190491 227297 240969 329837 405479 448161 517047 562261 681891 989511 1003027 1206443 1216437 1526137 1686783 2308859 2838353 3009081 3619329 4118813 4578411 6266903 6926577 7021189 8515059 10682959 12356439 15502339 18800709 19057513 21063567 28831691 32048877 36471769 43868321 46507017 57172539 78257447 86495073 108516373 109415307 131604963 133402591 193584211 234772341 255302383 294544441 325549119 400207773 547802129 580752633 692963611 765907149 883633323 1355089477 1643406387 1714173143 2061811087 2078890833 3678100009 4065268431 4850745277 5142519429 6185433261 7039051417 11034300027 11999212001 14552235831 21117154251 25746700063 32569289717 35997636003 49273359919 77240100189 97707869151 133741976923 147820079757 227985028019 330835416599 401225930769 683955084057 936193838461 992506249797 2315847916193 2808581515383 6285872915381 6947543748579 18857618746143 44001110407667 132003331223001