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1312210113012 = 223410754769197
BaseRepresentation
bin10011000110000101110…
…100010101000111110100
311122110001011211110110000
4103012011310111013310
5132444401242104022
62442453200431300
7163542534632451
oct23060564250764
94573034743400
101312210113012
11466561443887
12192394618530
1396982947396
144772305c828
1524200d4b6ac
hex13185d151f4

1312210113012 has 120 divisors (see below), whose sum is σ = 3468816023904. Its totient is φ = 432517071168.

The previous prime is 1312210112971. The next prime is 1312210113061. The reversal of 1312210113012 is 2103110122131.

1312210113012 is a `hidden beast` number, since 1 + 312 + 210 + 1 + 130 + 12 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 18928798 + ... + 18997994.

Almost surely, 21312210113012 is an apocalyptic number.

1312210113012 is a gapful number since it is divisible by the number (12) 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 1312210113012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734408011952).

1312210113012 is an abundant number, since it is smaller than the sum of its proper divisors (2156605910892).

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

1312210113012 is a wasteful number, since it uses less digits than its factorization.

1312210113012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69867 (or 69856 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1312210113012 its reverse (2103110122131), we get a palindrome (3415320235143).

The spelling of 1312210113012 in words is "one trillion, three hundred twelve billion, two hundred ten million, one hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 321 324 428 547 642 963 1094 1284 1641 1926 2188 2889 3282 3852 4923 5778 6564 8667 9846 11556 14769 17334 19692 29538 34668 44307 58529 59076 69197 88614 117058 138394 175587 177228 207591 234116 276788 351174 415182 526761 622773 702348 830364 1053522 1245546 1580283 1868319 2107044 2491092 3160566 3736638 4740849 5604957 6321132 7404079 7473276 9481698 11209914 14808158 18963396 22212237 22419828 29616316 37850759 44424474 66636711 75701518 88848948 113552277 133273422 151403036 199910133 227104554 266546844 340656831 399820266 454209108 599730399 681313662 799640532 1021970493 1199460798 1362627324 2043940986 2398921596 3065911479 4050031213 4087881972 6131822958 8100062426 12150093639 12263645916 16200124852 24300187278 36450280917 48600374556 72900561834 109350842751 145801123668 218701685502 328052528253 437403371004 656105056506 1312210113012