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12303652020 = 223511143313009
BaseRepresentation
bin10110111010101101…
…01101010010110100
31011202110111021121120
423131112231102310
5200144213331040
65352513543540
7613616213412
oct133526552264
934673437546
1012303652020
1152440aa960
122474574bb0
13121104098a
1484a0a22b2
154c02517d0
hex2dd5ad4b4

12303652020 has 96 divisors (see below), whose sum is σ = 37611181440. Its totient is φ = 2980392960.

The previous prime is 12303652013. The next prime is 12303652033. The reversal of 12303652020 is 2025630321.

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 31 ways as a sum of consecutive naturals, for example, 939276 + ... + 952284.

It is an arithmetic number, because the mean of its divisors is an integer number (391783140).

Almost surely, 212303652020 is an apocalyptic number.

12303652020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12303652020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18805590720).

12303652020 is an abundant number, since it is smaller than the sum of its proper divisors (25307529420).

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

12303652020 is a wasteful number, since it uses less digits than its factorization.

12303652020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14465 (or 14463 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The spelling of 12303652020 in words is "twelve billion, three hundred three million, six hundred fifty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1433 2866 4299 5732 7165 8598 13009 14330 15763 17196 21495 26018 28660 31526 39027 42990 47289 52036 63052 65045 78054 78815 85980 94578 130090 143099 156108 157630 189156 195135 236445 260180 286198 315260 390270 429297 472890 572396 715495 780540 858594 945780 1430990 1717188 2146485 2861980 4292970 8585940 18641897 37283794 55925691 74567588 93209485 111851382 186418970 205060867 223702764 279628455 372837940 410121734 559256910 615182601 820243468 1025304335 1118513820 1230365202 2050608670 2460730404 3075913005 4101217340 6151826010 12303652020