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1320011112112 = 247211923916567
BaseRepresentation
bin10011001101010110110…
…010110001111010110000
311200012011211210021102121
4103031112302301322300
5133111340321041422
62450223231124024
7164240051216200
oct23152662617260
94605154707377
101320011112112
114698a4950980
121939b1073614
1397626b92b94
1447c63124400
152450ab388c7
hex13356cb1eb0

1320011112112 has 120 divisors (see below), whose sum is σ = 3246084737280. Its totient is φ = 514203338880.

The previous prime is 1320011112011. The next prime is 1320011112179. The reversal of 1320011112112 is 2112111100231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79668853 + ... + 79685419.

It is an arithmetic number, because the mean of its divisors is an integer number (27050706144).

Almost surely, 21320011112112 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 1320011112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623042368640).

1320011112112 is an abundant number, since it is smaller than the sum of its proper divisors (1926073625168).

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

1320011112112 is a wasteful number, since it uses less digits than its factorization.

1320011112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25839 (or 25826 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1320011112112 its reverse (2112111100231), we get a palindrome (3432122212343).

The spelling of 1320011112112 in words is "one trillion, three hundred twenty billion, eleven million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 1078 1232 2156 4312 8624 9239 16567 18478 33134 36956 64673 66268 73912 101629 115969 129346 132536 147824 182237 203258 231938 258692 265072 364474 406516 452711 463876 517384 711403 728948 811783 813032 905422 927752 1034768 1275659 1422806 1457896 1623566 1626064 1810844 1855504 2551318 2845612 2915792 3247132 3621688 4979821 5102636 5691224 6494264 7243376 8929613 9959642 10205272 11382448 12988528 17859226 19919284 20410544 35718452 39838568 71436904 79677136 142873808 153062513 306125026 612250052 1071437591 1224500104 1683687643 2142875182 2449000208 3367375286 4285750364 6734750572 7500063137 8571500728 11785813501 13469501144 15000126274 17143001456 23571627002 26939002288 30000252548 47143254004 60000505096 82500694507 94286508008 120001010192 165001389014 188573016016 330002778028 660005556056 1320011112112