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212443143000024 = 2333110319309143573
BaseRepresentation
bin110000010011011101000110…
…000100101100111111011000
31000212012100212220110000100110
4300103131012010230333120
5210321132024102000044
62031455011012004320
762514340061561316
oct6023350604547730
91025170786400313
10212443143000024
11617666a3929a72
121b9b0aa29006a0
1391703c1571581
143a664355610b6
15198620127e6b9
hexc1374612cfd8

212443143000024 has 128 divisors (see below), whose sum is σ = 553595615539200. Its totient is φ = 67860718548480.

The previous prime is 212443142999963. The next prime is 212443143000037. The reversal of 212443143000024 is 420000341344212.

It is a junction number, because it is equal to n+sod(n) for n = 212443142999955 and 212443143000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1479615502 + ... + 1479759074.

It is an arithmetic number, because the mean of its divisors is an integer number (4324965746400).

Almost surely, 2212443143000024 is an apocalyptic number.

212443143000024 is a gapful number since it is divisible by the number (24) 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 212443143000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276797807769600).

212443143000024 is an abundant number, since it is smaller than the sum of its proper divisors (341152472539176).

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

212443143000024 is a wasteful number, since it uses less digits than its factorization.

212443143000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163025 (or 163021 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 212443143000024 its reverse (420000341344212), we get a palindrome (632443484344236).

The spelling of 212443143000024 in words is "two hundred twelve trillion, four hundred forty-three billion, one hundred forty-three million, twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 31 62 93 103 124 186 206 248 309 372 412 618 744 824 1236 2472 3193 6386 9579 12772 19158 19309 25544 38316 38618 57927 76632 77236 115854 143573 154472 231708 287146 430719 463416 574292 598579 861438 1148584 1197158 1722876 1795737 1988827 2394316 3445752 3591474 3977654 4450763 4788632 5966481 7182948 7955308 8901526 11932962 13352289 14365896 14788019 15910616 17803052 23865924 26704578 29576038 35606104 44364057 47731848 53409156 59152076 61653637 88728114 106818312 118304152 123307274 177456228 184960911 246614548 354912456 369921822 458428589 493229096 739843644 916857178 1375285767 1479687288 1833714356 2750571534 2772251057 3667428712 5501143068 5544502114 8316753171 11002286136 11089004228 16633506342 22178008456 33267012684 66534025368 85939782767 171879565534 257819348301 285541858871 343759131068 515638696602 571083717742 687518262136 856625576613 1031277393204 1142167435484 1713251153226 2062554786408 2284334870968 3426502306452 6853004612904 8851797625001 17703595250002 26555392875003 35407190500004 53110785750006 70814381000008 106221571500012 212443143000024