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10242114003300 = 22352317913940539
BaseRepresentation
bin1001010100001010110110…
…0100010010000101100100
31100021010200112102222011210
42111002231210102011210
52320301322141101200
633441055012231420
72104653063411114
oct225025544220544
940233615388153
1010242114003300
113299724386223
121194ba730b570
13593a9a4ab87a
14275a14471044
1512b64a780650
hex950ad912164

10242114003300 has 144 divisors (see below), whose sum is σ = 30976995123200. Its totient is φ = 2609668713600.

The previous prime is 10242114003283. The next prime is 10242114003313. The reversal of 10242114003300 is 330041124201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6235570 + ... + 7704969.

Almost surely, 210242114003300 is an apocalyptic number.

10242114003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242114003300 is an abundant number, since it is smaller than the sum of its proper divisors (20734881119900).

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

10242114003300 is a wasteful number, since it uses less digits than its factorization.

10242114003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13940666 (or 13940659 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10242114003300 its reverse (330041124201), we get a palindrome (10572155127501).

The spelling of 10242114003300 in words is "ten trillion, two hundred forty-two billion, one hundred fourteen million, three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 79 93 100 124 150 155 158 186 237 300 310 316 372 395 465 474 620 775 790 930 948 1185 1550 1580 1860 1975 2325 2370 2449 3100 3950 4650 4740 4898 5925 7347 7900 9300 9796 11850 12245 14694 23700 24490 29388 36735 48980 61225 73470 122450 146940 183675 244900 367350 734700 13940539 27881078 41821617 55762156 69702695 83643234 139405390 167286468 209108085 278810780 348513475 418216170 432156709 697026950 836432340 864313418 1045540425 1101302581 1296470127 1394053900 1728626836 2091080850 2160783545 2202605162 2592940254 3303907743 4182161700 4321567090 4405210324 5185880508 5506512905 6482350635 6607815486 8643134180 10803917725 11013025810 12964701270 13215630972 16519538715 21607835450 22026051620 25929402540 27532564525 32411753175 33039077430 34140380011 43215670900 55065129050 64823506350 66078154860 68280760022 82597693575 102421140033 110130258100 129647012700 136561520044 165195387150 170701900055 204842280066 330390774300 341403800110 409684560132 512105700165 682807600220 853509500275 1024211400330 1707019000550 2048422800660 2560528500825 3414038001100 5121057001650 10242114003300