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1110111331032 = 2332116043231947
BaseRepresentation
bin10000001001110111110…
…010101010001011011000
310221010101120022121022200
4100021313302222023120
5121142002000043112
62205551134250200
7143126410423524
oct20116762521330
93833346277280
101110111331032
113988829a6720
1215b192056960
13808b58758a2
143ba3032ad84
151dd23500cdc
hex10277caa2d8

1110111331032 has 96 divisors (see below), whose sum is σ = 3280431286080. Its totient is φ = 336340255680.

The previous prime is 1110111331031. The next prime is 1110111331037. The reversal of 1110111331032 is 2301331110111.

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

It is a junction number, because it is equal to n+sod(n) for n = 1110111330996 and 1110111331014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110111331031) by changing a digit.

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, 4670083 + ... + 4902029.

It is an arithmetic number, because the mean of its divisors is an integer number (34171159230).

Almost surely, 21110111331032 is an apocalyptic number.

1110111331032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1110111331032 is an abundant number, since it is smaller than the sum of its proper divisors (2170319955048).

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

1110111331032 is a wasteful number, since it uses less digits than its factorization.

1110111331032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238013 (or 238006 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1110111331032 its reverse (2301331110111), we get a palindrome (3411442441143).

The spelling of 1110111331032 in words is "one trillion, one hundred ten billion, one hundred eleven million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 6043 12086 18129 24172 36258 48344 54387 66473 72516 108774 132946 145032 199419 217548 231947 265892 398838 435096 463894 531784 598257 695841 797676 927788 1196514 1391682 1595352 1855576 2087523 2393028 2551417 2783364 4175046 4786056 5102834 5566728 7654251 8350092 10205668 15308502 16700184 20411336 22962753 30617004 45925506 61234008 91851012 183702024 1401655721 2803311442 4204967163 5606622884 8409934326 11213245768 12614901489 15418212931 16819868652 25229802978 30836425862 33639737304 46254638793 50459605956 61672851724 92509277586 100919211912 123345703448 138763916379 185018555172 277527832758 370037110344 555055665516 1110111331032