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1031114441112 = 233733611826119
BaseRepresentation
bin11110000000100110011…
…01011100000110011000
310122120111010201210122220
433000103031130012120
5113343210244103422
62105404252544040
7134331656065230
oct17002315340630
93576433653586
101031114441112
11368325248038
12147a06182020
13763064c9742
1437c988accc0
151bc4d129e5c
hexf01335c198

1031114441112 has 64 divisors (see below), whose sum is σ = 2946919411200. Its totient is φ = 294516311040.

The previous prime is 1031114441083. The next prime is 1031114441113. The reversal of 1031114441112 is 2111444111301.

It is a happy number.

It is a super-3 number, since 3×10311144411123 (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031114441113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348412 + ... + 1477707.

It is an arithmetic number, because the mean of its divisors is an integer number (46045615800).

Almost surely, 21031114441112 is an apocalyptic number.

1031114441112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1031114441112 is an abundant number, since it is smaller than the sum of its proper divisors (1915804970088).

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

1031114441112 is a wasteful number, since it uses less digits than its factorization.

1031114441112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829496 (or 1829492 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 1031114441112 its reverse (2111444111301), we get a palindrome (3142558552413).

The spelling of 1031114441112 in words is "one trillion, thirty-one billion, one hundred fourteen million, four hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 3361 6722 10083 13444 20166 23527 26888 40332 47054 70581 80664 94108 141162 188216 282324 564648 1826119 3652238 5478357 7304476 10956714 12782833 14608952 21913428 25565666 38348499 43826856 51131332 76696998 102262664 153393996 306787992 6137585959 12275171918 18412757877 24550343836 36825515754 42963101713 49100687672 73651031508 85926203426 128889305139 147302063016 171852406852 257778610278 343704813704 515557220556 1031114441112