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1112430011120 = 245107659197203
BaseRepresentation
bin10000001100000001111…
…111101110001011110000
310221100101011022202102222
4100030001333232023300
5121211224040323440
62211013203500212
7143241024036011
oct20140177561360
93840334282388
101112430011120
1139986281635a
1215b71a687668
1380b9505b43c
143bbb025d008
151de0bd622b5
hex10301fee2f0

1112430011120 has 80 divisors (see below), whose sum is σ = 2614546408320. Its totient is φ = 440142243072.

The previous prime is 1112430011101. The next prime is 1112430011131. The reversal of 1112430011120 is 211100342111.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 5542439 + ... + 5739641.

It is an arithmetic number, because the mean of its divisors is an integer number (32681830104).

Almost surely, 21112430011120 is an apocalyptic number.

1112430011120 is a gapful number since it is divisible by the number (10) 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 1112430011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307273204160).

1112430011120 is an abundant number, since it is smaller than the sum of its proper divisors (1502116397200).

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

1112430011120 is a wasteful number, since it uses less digits than its factorization.

1112430011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197982 (or 197976 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1112430011120 its reverse (211100342111), we get a palindrome (1323530353231).

The spelling of 1112430011120 in words is "one trillion, one hundred twelve billion, four hundred thirty million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 659 856 1070 1318 1712 2140 2636 3295 4280 5272 6590 8560 10544 13180 26360 52720 70513 141026 197203 282052 352565 394406 564104 705130 788812 986015 1128208 1410260 1577624 1972030 2820520 3155248 3944060 5641040 7888120 15776240 21100721 42201442 84402884 105503605 129956777 168805768 211007210 259913554 337611536 422014420 519827108 649783885 844028840 1039654216 1299567770 1688057680 2079308432 2599135540 5198271080 10396542160 13905375139 27810750278 55621500556 69526875695 111243001112 139053751390 222486002224 278107502780 556215005560 1112430011120