Search a number
-
+
1023144113112 = 233112883739869
BaseRepresentation
bin11101110001110000010…
…01000011001111011000
310121210220200011012002120
432320320021003033120
5113230344343104422
62102005333101240
7133630315316322
oct16707011031730
93553820135076
101023144113112
11364a051a6700
12146360a87820
1375636175224
143774012a612
151b93354145c
hexee382433d8

1023144113112 has 96 divisors (see below), whose sum is σ = 2811921058800. Its totient is φ = 310000810240.

The previous prime is 1023144113041. The next prime is 1023144113129. The reversal of 1023144113112 is 2113114413201.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 25642714 + ... + 25682582.

Almost surely, 21023144113112 is an apocalyptic number.

1023144113112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1023144113112 is an abundant number, since it is smaller than the sum of its proper divisors (1788776945688).

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

1023144113112 is a wasteful number, since it uses less digits than its factorization.

1023144113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48737 (or 48722 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 1023144113112 its reverse (2113114413201), we get a palindrome (3136258526313).

The spelling of 1023144113112 in words is "one trillion, twenty-three billion, one hundred forty-four million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 8837 17674 26511 35348 39869 53022 70696 79738 97207 106044 119607 159476 194414 212088 239214 291621 318952 388828 438559 478428 583242 777656 877118 956856 1069277 1166484 1315677 1754236 2138554 2332968 2631354 3207831 3508472 4277108 4824149 5262708 6415662 8554216 9648298 10525416 12831324 14472447 19296596 25662648 28944894 38593192 57889788 115779576 352322353 704644706 1056967059 1409289412 2113934118 2818578824 3875545883 4227868236 7751091766 8455736472 11626637649 15502183532 23253275298 31004367064 42631004713 46506550596 85262009426 93013101192 127893014139 170524018852 255786028278 341048037704 511572056556 1023144113112