Search a number
-
+
312203021021010 = 23457101545170903
BaseRepresentation
bin100011011111100100110111…
…0001010100110111101010010
31111221102022120022220010220000
41012333021232022212331102
5311410113241340133020
63024000030551230430
7122521631621633040
oct10677115612467522
91457368508803800
10312203021021010
11905286152832a9
122b023054078416
1310528806c78162
1457149c7811390
1526161b504b090
hex11bf26e2a6f52

312203021021010 has 160 divisors (see below), whose sum is σ = 968903898792192. Its totient is φ = 70654148899200.

The previous prime is 312203021020999. The next prime is 312203021021029. The reversal of 312203021021010 is 10120120302213.

312203021021010 is a `hidden beast` number, since 31 + 2 + 203 + 0 + 210 + 210 + 10 = 666.

It is a super-2 number, since 2×3122030210210102 (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 272012782 + ... + 273158121.

Almost surely, 2312203021021010 is an apocalyptic number.

312203021021010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312203021021010 is an abundant number, since it is smaller than the sum of its proper divisors (656700877771182).

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

312203021021010 is a wasteful number, since it uses less digits than its factorization.

312203021021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545171030 (or 545171021 counting only the distinct ones).

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

Adding to 312203021021010 its reverse (10120120302213), we get a palindrome (322323141323223).

The spelling of 312203021021010 in words is "three hundred twelve trillion, two hundred three billion, twenty-one million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 101 105 126 135 162 189 202 210 270 303 315 378 405 505 567 606 630 707 810 909 945 1010 1134 1414 1515 1818 1890 2121 2727 2835 3030 3535 4242 4545 5454 5670 6363 7070 8181 9090 10605 12726 13635 16362 19089 21210 27270 31815 38178 40905 57267 63630 81810 95445 114534 190890 286335 572670 545170903 1090341806 1635512709 2725854515 3271025418 3816196321 4906538127 5451709030 7632392642 8177563545 9813076254 11448588963 14719614381 16355127090 19080981605 22897177926 24532690635 29439228762 34345766889 38161963210 44158843143 49065381270 55062261203 57242944815 68691533778 73598071905 88317686286 103037300667 110124522406 114485889630 147196143810 165186783609 171728834445 206074601334 220794215715 275311306015 309111902001 330373567218 343457668890 385435828421 441588431430 495560350827 515186503335 550622612030 618223804002 770871656842 825933918045 991120701654 1030373006670 1156307485263 1486681052481 1545559510005 1651867836090 1927179142105 2312614970526 2477801754135 2973362104962 3091119020010 3468922455789 3854358284210 4460043157443 4955603508270 5781537426315 6937844911578 7433405262405 8920086314886 10406767367367 11563074852630 14866810524810 17344612278945 20813534734734 22300215787215 31220302102101 34689224557890 44600431574430 52033836836835 62440604204202 104067673673670 156101510510505 312203021021010