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203312010012012 = 2232115350111933159
BaseRepresentation
bin101110001110100101000100…
…001000101010010101101100
3222122212102211112210012000100
4232032211010020222111230
5203122030444030341022
62000224125322231100
760552544066030446
oct5616450410522554
9878772745705010
10203312010012012
1159866159356090
121a977290955490
13895a317b79365
14382c4d4b25496
15187892a53e1ac
hexb8e94422a56c

203312010012012 has 144 divisors (see below), whose sum is σ = 571340829346560. Its totient is φ = 60435158659200.

The previous prime is 203312010012011. The next prime is 203312010012061. The reversal of 203312010012012 is 210210010213302.

203312010012012 is a `hidden beast` number, since 2 + 0 + 331 + 201 + 0 + 0 + 120 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (203312010012011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104204289 + ... + 106137447.

It is an arithmetic number, because the mean of its divisors is an integer number (3967644648240).

Almost surely, 2203312010012012 is an apocalyptic number.

203312010012012 is a gapful number since it is divisible by the number (22) 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 203312010012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285670414673280).

203312010012012 is an abundant number, since it is smaller than the sum of its proper divisors (368028819334548).

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

203312010012012 is a wasteful number, since it uses less digits than its factorization.

203312010012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938244 (or 1938239 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 203312010012012 its reverse (210210010213302), we get a palindrome (413522020225314).

The spelling of 203312010012012 in words is "two hundred three trillion, three hundred twelve billion, ten million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 132 159 198 212 318 396 477 583 636 954 1166 1749 1908 2332 3498 5011 5247 6996 10022 10494 15033 20044 20988 30066 45099 55121 60132 90198 110242 165363 180396 220484 265583 330726 496089 531166 661452 796749 992178 1062332 1593498 1933159 1984356 2390247 2921413 3186996 3866318 4780494 5799477 5842826 7732636 8764239 9560988 11598954 11685652 17398431 17528478 21264749 23197908 26292717 34796862 35056956 42529498 52585434 63794247 69593724 85058996 102457427 105170868 127588494 191382741 204914854 255176988 307372281 382765482 409829708 614744562 765530964 922116843 1127031697 1229489124 1844233686 2254063394 3381095091 3688467372 4508126788 6762190182 9687059749 10143285273 13524380364 19374119498 20286570546 29061179247 38748238996 40573141092 58122358494 87183537741 106557657239 116244716988 174367075482 213115314478 319672971717 348734150964 426230628956 513414166697 639345943434 959018915151 1026828333394 1278691886868 1540242500091 1918037830302 2053656666788 3080485000182 3836075660604 4620727500273 5647555833667 6160970000364 9241455000546 11295111667334 16942667501001 18482910001092 22590223334668 33885335002002 50828002503003 67770670004004 101656005006006 203312010012012