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132233130121323 = 371171131199330881
BaseRepresentation
bin11110000100001111101100…
…101111111001100001101011
3122100012100211012022100211210
4132010033230233321201223
5114313001422302340243
61145123021130324203
736565346143432530
oct3604175457714153
9570170735270753
10132233130121323
1139151834708770
12129b77bb889663
1358a26b8b43aba
142492190b72d87
151044a4931c933
hex7843ecbf986b

132233130121323 has 128 divisors (see below), whose sum is σ = 224733711679488. Its totient is φ = 67172152320000.

The previous prime is 132233130121291. The next prime is 132233130121387. The reversal of 132233130121323 is 323121031332231.

It is not a de Polignac number, because 132233130121323 - 25 = 132233130121291 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132233130121123) 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, 4282006843 + ... + 4282037723.

It is an arithmetic number, because the mean of its divisors is an integer number (1755732122496).

Almost surely, 2132233130121323 is an apocalyptic number.

132233130121323 is a deficient number, since it is larger than the sum of its proper divisors (92500581558165).

132233130121323 is a wasteful number, since it uses less digits than its factorization.

132233130121323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33097.

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 132233130121323 its reverse (323121031332231), we get a palindrome (455354161453554).

The spelling of 132233130121323 in words is "one hundred thirty-two trillion, two hundred thirty-three billion, one hundred thirty million, one hundred twenty-one thousand, three hundred twenty-three".

Divisors: 1 3 7 11 21 33 71 77 131 213 231 393 497 781 917 1441 1491 1993 2343 2751 4323 5467 5979 9301 10087 13951 16401 21923 27903 30261 30881 41853 65107 65769 92643 102311 141503 153461 195321 216167 261083 306933 339691 424509 460383 648501 716177 783249 990521 1019073 1556533 1827581 2148531 2192551 2377837 2871913 2971563 4045411 4669599 5482743 6577653 7133511 8615739 10895731 12136233 15347857 18536893 20103391 24118061 28317877 32687193 44499521 46043571 55610679 60310173 61545833 72354183 84953631 129758251 133498563 168826427 184637499 203905823 287224181 311496647 389274753 430820831 506479281 611717469 677004163 861672543 934489941 1292462493 1427340761 2010569267 2031012489 3159465991 4282022283 4369754143 4739029141 6031707801 8062504123 9478397973 13109262429 14217087423 22116261937 24187512369 30588279001 48067295573 56437528861 66348785811 88687545353 91764837003 144201886719 169312586583 266062636059 336471069011 572437792733 620812817471 1009413207033 1717313378199 1862438452413 4007064549131 6296815720063 12021193647393 18890447160189 44077710040441 132233130121323