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323213021332131 = 372131151991112163
BaseRepresentation
bin100100101111101011110010…
…1010100101100001010100011
31120101101212022011220021002210
41021133113211110230022203
5314331010231430112011
63103230002344213203
7125036240655305400
oct11137274524541243
91511355264807083
10323213021332131
1193a92966439a47
1230300a22a6a203
1310b46b1b168168
1459b584518b2a7
1527577a46256a6
hex125f5e552c2a3

323213021332131 has 96 divisors (see below), whose sum is σ = 508999700791296. Its totient is φ = 181884142440000.

The previous prime is 323213021332109. The next prime is 323213021332163. The reversal of 323213021332131 is 131233120312323.

It is not a de Polignac number, because 323213021332131 - 25 = 323213021332099 is a prime.

It is a super-2 number, since 2×3232130213321312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (323213021330131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2881580656 + ... + 2881692818.

It is an arithmetic number, because the mean of its divisors is an integer number (5302080216576).

Almost surely, 2323213021332131 is an apocalyptic number.

323213021332131 is a deficient number, since it is larger than the sum of its proper divisors (185786679459165).

323213021332131 is a wasteful number, since it uses less digits than its factorization.

323213021332131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113453 (or 113446 counting only the distinct ones).

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

Adding to 323213021332131 its reverse (131233120312323), we get a palindrome (454446141644454).

The spelling of 323213021332131 in words is "three hundred twenty-three trillion, two hundred thirteen billion, twenty-one million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 49 131 147 151 393 453 917 991 1057 2751 2973 3171 6419 6937 7399 19257 19781 20811 22197 48559 59343 112163 129821 138467 145677 149641 336489 389463 415401 448923 785141 908747 969269 1047487 2355423 2726241 2907807 3142461 5495987 6361229 7332409 14693353 16487961 16936613 19083687 19602971 21997227 44080059 50809839 58808913 102853471 111153533 118556291 137220797 308560413 333460599 355668873 411662391 719974297 778074731 829894037 960545579 2159922891 2218696303 2334224193 2489682111 2881636737 5446523117 6656088909 14561112823 15530874121 16339569351 16784183483 43683338469 46592622363 50352550449 101927789761 108716118847 117489284381 305783369283 326148356541 352467853143 713494528327 822424990667 2140483584981 2198728036273 2467274972001 6596184108819 15391096253911 46173288761733 107737673777377 323213021332131