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312223222010032 = 244313931541103511
BaseRepresentation
bin100011011111101110010001…
…0001111010001000010110000
31111221111020201011121201020121
41012333130202033101002300
5311410431124313310112
63024013211300420024
7122523245334333544
oct10677344217210260
91457436634551217
10312223222010032
1190536141200353
122b026b513a7614
131052a6a61952b8
145715982695a24
152616998769407
hex11bf7223d10b0

312223222010032 has 80 divisors (see below), whose sum is σ = 623479722243840. Its totient is φ = 151377859987200.

The previous prime is 312223222009943. The next prime is 312223222010059. The reversal of 312223222010032 is 230010222322213.

It is a junction number, because it is equal to n+sod(n) for n = 312223222009979 and 312223222010006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3016277157 + ... + 3016380667.

It is an arithmetic number, because the mean of its divisors is an integer number (7793496528048).

Almost surely, 2312223222010032 is an apocalyptic number.

It is an amenable number.

312223222010032 is a deficient number, since it is larger than the sum of its proper divisors (311256500233808).

312223222010032 is a wasteful number, since it uses less digits than its factorization.

312223222010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135242 (or 135236 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 312223222010032 its reverse (230010222322213), we get a palindrome (542233444332245).

The spelling of 312223222010032 in words is "three hundred twelve trillion, two hundred twenty-three billion, two hundred twenty-two million, ten thousand, thirty-two".

Divisors: 1 2 4 8 16 43 86 139 172 278 344 556 688 1112 2224 5977 11954 23908 31541 47816 63082 95632 103511 126164 207022 252328 414044 504656 828088 1356263 1656176 2712526 4384199 4450973 5425052 8768398 8901946 10850104 14388029 17536796 17803892 21700208 28776058 35073592 35607784 57552116 70147184 71215568 115104232 188520557 230208464 377041114 618685247 754082228 1237370494 1508164456 2474740988 3016328912 3264840451 4949481976 6529680902 9898963952 13059361804 26118723608 52237447216 140388139393 280776278786 453812822689 561552557572 907625645378 1123105115144 1815251290756 2246210230288 3630502581512 7261005163024 19513951375627 39027902751254 78055805502508 156111611005016 312223222010032