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123301303303120 = 24517432108435419
BaseRepresentation
bin11100000010010001010010…
…011000100011101111010000
3121011120111012211100222220121
4130002101102120203233100
5112130132032121144440
61114123500423520024
734654140145232305
oct3402212230435720
9534514184328817
10123301303303120
11363188752900a8
12119b4750bb9014
1353a5355aaba47
142263b5a2090ac
15e3c53ab9c34a
hex702452623bd0

123301303303120 has 80 divisors (see below), whose sum is σ = 310597838591040. Its totient is φ = 45339795228672.

The previous prime is 123301303303097. The next prime is 123301303303159. The reversal of 123301303303120 is 21303303103321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1233013033031202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1054159230 + ... + 1054276189.

It is an arithmetic number, because the mean of its divisors is an integer number (3882472982388).

Almost surely, 2123301303303120 is an apocalyptic number.

123301303303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123301303303120 is an abundant number, since it is smaller than the sum of its proper divisors (187296535287920).

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

123301303303120 is a wasteful number, since it uses less digits than its factorization.

123301303303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108435492 (or 2108435486 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 123301303303120 its reverse (21303303103321), we get a palindrome (144604606406441).

The spelling of 123301303303120 in words is "one hundred twenty-three trillion, three hundred one billion, three hundred three million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 43 68 80 85 86 136 170 172 215 272 340 344 430 680 688 731 860 1360 1462 1720 2924 3440 3655 5848 7310 11696 14620 29240 58480 2108435419 4216870838 8433741676 10542177095 16867483352 21084354190 33734966704 35843402123 42168708380 71686804246 84337416760 90662723017 143373608492 168674833520 179217010615 181325446034 286747216984 358434021230 362650892068 453313615085 573494433968 716868042460 725301784136 906627230170 1433736084920 1450603568272 1541266291289 1813254460340 2867472169840 3082532582578 3626508920680 6165065165156 7253017841360 7706331456445 12330130330312 15412662912890 24660260660624 30825325825780 61650651651560 123301303303120