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110113231120 = 2451578766977
BaseRepresentation
bin110011010001101000…
…0101001000100010000
3101112012222110201021021
41212203100221010100
53301002441343440
6122330232405224
710645465010224
oct1464320510420
9345188421237
10110113231120
1142776059352
1219410846814
13a4caac3b79
14548825a784
152ce701284a
hex19a3429110

110113231120 has 40 divisors (see below), whose sum is σ = 257643949464. Its totient is φ = 43764744192.

The previous prime is 110113231097. The next prime is 110113231127. The reversal of 110113231120 is 21132311011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 303177744 + 109810053376 = 17412^2 + 331376^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 110113231094 and 110113231103.

It is not an unprimeable number, because it can be changed into a prime (110113231127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4370929 + ... + 4396048.

Almost surely, 2110113231120 is an apocalyptic number.

110113231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110113231120 is an abundant number, since it is smaller than the sum of its proper divisors (147530718344).

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

110113231120 is a wasteful number, since it uses less digits than its factorization.

110113231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8767147 (or 8767141 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 110113231120 its reverse (21132311011), we get a palindrome (131245542131).

The spelling of 110113231120 in words is "one hundred ten billion, one hundred thirteen million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 12560 8766977 17533954 35067908 43834885 70135816 87669770 140271632 175339540 350679080 701358160 1376415389 2752830778 5505661556 6882076945 11011323112 13764153890 22022646224 27528307780 55056615560 110113231120