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12303213869088 = 253433714084897
BaseRepresentation
bin1011001100001001000010…
…1100010011100000100000
31121120011202010110121010000
42303002100230103200200
53103033440222302323
642100003551340000
72406610052250522
oct263022054234040
947504663417100
1012303213869088
113a1384453755a
121468541521600
136b325a30497c
1430769b8b9a12
1516507c81be43
hexb3090b13820

12303213869088 has 120 divisors (see below), whose sum is σ = 36290781979452. Its totient is φ = 4088901648384.

The previous prime is 12303213869087. The next prime is 12303213869131. The reversal of 12303213869088 is 88096831230321.

12303213869088 is a `hidden beast` number, since 1 + 230 + 3 + 21 + 386 + 9 + 0 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12300648243984 + 2565625104 = 3507228^2 + 50652^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12303213869087) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6168945 + ... + 7915952.

Almost surely, 212303213869088 is an apocalyptic number.

12303213869088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12303213869088 is an abundant number, since it is smaller than the sum of its proper divisors (23987568110364).

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

12303213869088 is a wasteful number, since it uses less digits than its factorization.

12303213869088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14085256 (or 14085239 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 12303213869088 in words is "twelve trillion, three hundred three billion, two hundred thirteen million, eight hundred sixty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 337 432 648 674 864 1011 1296 1348 2022 2592 2696 3033 4044 5392 6066 8088 9099 10784 12132 16176 18198 24264 27297 32352 36396 48528 54594 72792 97056 109188 145584 218376 291168 436752 873504 14084897 28169794 42254691 56339588 84509382 112679176 126764073 169018764 225358352 253528146 338037528 380292219 450716704 507056292 676075056 760584438 1014112584 1140876657 1352150112 1521168876 2028225168 2281753314 3042337752 4056450336 4563506628 4746610289 6084675504 9127013256 9493220578 12169351008 14239830867 18254026512 18986441156 28479661734 36508053024 37972882312 42719492601 56959323468 75945764624 85438985202 113918646936 128158477803 151891529248 170877970404 227837293872 256316955606 341755940808 384475433409 455674587744 512633911212 683511881616 768950866818 1025267822424 1367023763232 1537901733636 2050535644848 3075803467272 4101071289696 6151606934544 12303213869088