Search a number
-
+
323212230122331 = 3111743151157565171
BaseRepresentation
bin100100101111101011011011…
…0001010011101101101011011
31120101101210021001002122022010
41021133112312022131231123
5314331002121402403311
63103225352042001003
7125036212240162314
oct11137266612355533
91511353231078263
10323212230122331
1193a9259a862350
1230300841aa6163
1310b46a23272294
1459b57ac06d60b
152757759e37da6
hex125f5b629db5b

323212230122331 has 128 divisors (see below), whose sum is σ = 515997659308032. Its totient is φ = 177743704320000.

The previous prime is 323212230122329. The next prime is 323212230122363. The reversal of 323212230122331 is 133221032212323.

It is not a de Polignac number, because 323212230122331 - 21 = 323212230122329 is a prime.

It is a super-2 number, since 2×3232122301223312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (323212230122321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 571601376 + ... + 572166546.

It is an arithmetic number, because the mean of its divisors is an integer number (4031231713344).

Almost surely, 2323212230122331 is an apocalyptic number.

323212230122331 is a deficient number, since it is larger than the sum of its proper divisors (192785429185701).

323212230122331 is a wasteful number, since it uses less digits than its factorization.

323212230122331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565553.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 323212230122331 its reverse (133221032212323), we get a palindrome (456433262334654).

The spelling of 323212230122331 in words is "three hundred twenty-three trillion, two hundred twelve billion, two hundred thirty million, one hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 11 17 33 43 51 129 151 157 187 453 471 473 561 731 1419 1661 1727 2193 2567 2669 4983 5181 6493 6751 7701 8007 8041 19479 20253 23707 24123 28237 29359 71121 71423 74261 84711 88077 110381 114767 214269 222783 260777 331143 344301 403019 565171 782331 1019401 1209057 1214191 1262437 1695513 3058203 3642573 3787311 4433209 6216881 9607907 11213411 13299627 17329817 18650643 24302353 28823721 33640233 51989451 72907059 85340821 88731847 105686977 190627987 256022463 266195541 267325883 317060931 413140001 571883961 801977649 938749031 976050317 1239420003 1450793957 1508441399 2816247093 2928150951 3669655303 3815469421 4352381871 4525324197 4544540011 11008965909 11446408263 13398508897 13633620033 15958733527 16592855389 40195526691 40366208333 41970163631 47876200581 49778566167 62384140151 64862980157 121098624999 125910490893 147383597867 187152420453 194588940471 227774651249 442150793601 576135882571 683323953747 686225541661 713492781727 1728407647713 2058676624983 2140478345181 2505521163739 6337494708281 7516563491217 9794310003707 19012484124843 29382930011121 107737410040777 323212230122331