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1312301233012 = 2271119241930491
BaseRepresentation
bin10011000110001011001…
…111111011001101110100
311122110021112021211120211
4103012023033323031310
5133000043103424022
62442510213435204
7163545022301440
oct23061317731564
94573245254524
101312301233012
114665a891a670
121923bb03bb04
139699879c043
14477311bb820
1524208d49e77
hex1318b3fb374

1312301233012 has 96 divisors (see below), whose sum is σ = 3026406620160. Its totient is φ = 482366016000.

The previous prime is 1312301232959. The next prime is 1312301233081. The reversal of 1312301233012 is 2103321032131.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 945087 + ... + 1875577.

It is an arithmetic number, because the mean of its divisors is an integer number (31525068960).

Almost surely, 21312301233012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312301233012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513203310080).

1312301233012 is an abundant number, since it is smaller than the sum of its proper divisors (1714105387148).

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

1312301233012 is a wasteful number, since it uses less digits than its factorization.

1312301233012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930773 (or 930771 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1312301233012 its reverse (2103321032131), we get a palindrome (3415622265143).

The spelling of 1312301233012 in words is "one trillion, three hundred twelve billion, three hundred one million, two hundred thirty-three thousand, twelve".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 241 266 308 418 482 532 836 964 1463 1687 2651 2926 3374 4579 5302 5852 6748 9158 10604 18316 18557 32053 37114 50369 64106 74228 100738 128212 201476 352583 705166 930491 1410332 1860982 3721964 6513437 10235401 13026874 17679329 20470802 26053748 35358658 40941604 70717316 71647807 123755303 143295614 194472619 224248331 247510606 286591228 388945238 448496662 495021212 777890476 896993324 1361308333 1569738317 2466731641 2722616666 3139476634 4260718289 4933463282 5445233332 6278953268 8521436578 9866926564 17042873156 17267121487 29825028023 34534242974 46867901179 59650056046 69068485948 93735802358 119300112092 187471604716 328075308253 656150616506 1312301233012