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312100210231020 = 223258919997899049
BaseRepresentation
bin100011011110110100111111…
…0001010100100011011101100
31111221001111012021020212122100
41012331221332022210123230
5311401422212304343040
63023440505055215100
7122511332104426401
oct10675517612443354
91457044167225570
10312100210231020
1190498a57270072
122b007140b17490
131051bc01031193
14570da3335c2a8
152613699194b30
hex11bda7e2a46ec

312100210231020 has 144 divisors (see below), whose sum is σ = 962151863400000. Its totient is φ = 81878064592896.

The previous prime is 312100210230967. The next prime is 312100210231049. The reversal of 312100210231020 is 20132012001213.

312100210231020 is a `hidden beast` number, since 3 + 121 + 0 + 0 + 210 + 2 + 310 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312100210230984 and 312100210231002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45761545 + ... + 52137504.

It is an arithmetic number, because the mean of its divisors is an integer number (6681610162500).

Almost surely, 2312100210231020 is an apocalyptic number.

312100210231020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312100210231020 is an abundant number, since it is smaller than the sum of its proper divisors (650051653168980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312100210231020 is a wasteful number, since it uses less digits than its factorization.

312100210231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97899352 (or 97899347 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312100210231020 its reverse (20132012001213), we get a palindrome (332232222232233).

The spelling of 312100210231020 in words is "three hundred twelve trillion, one hundred billion, two hundred ten million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 199 267 356 398 445 534 597 796 801 890 995 1068 1194 1335 1602 1780 1791 1990 2388 2670 2985 3204 3582 3980 4005 5340 5970 7164 8010 8955 11940 16020 17711 17910 35422 35820 53133 70844 88555 106266 159399 177110 212532 265665 318798 354220 531330 637596 796995 1062660 1593990 3187980 97899049 195798098 293697147 391596196 489495245 587394294 881091441 978990490 1174788588 1468485735 1762182882 1957980980 2936971470 3524365764 4405457205 5873942940 8713015361 8810914410 17426030722 17621828820 19481910751 26139046083 34852061444 38963821502 43565076805 52278092166 58445732253 77927643004 78417138249 87130153610 97409553755 104556184332 116891464506 130695230415 156834276498 174260307220 175337196759 194819107510 233782929012 261390460830 292228661265 313668552996 350674393518 389638215020 392085691245 522780921660 584457322530 701348787036 784171382490 876685983795 1168914645060 1568342764980 1733890056839 1753371967590 3467780113678 3506743935180 5201670170517 6935560227356 8669450284195 10403340341034 15605010511551 17338900568390 20806680682068 26008350852585 31210021023102 34677801136780 52016701705170 62420042046204 78025052557755 104033403410340 156050105115510 312100210231020