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110032121133 = 32112101039597
BaseRepresentation
bin110011001111001101…
…1001110110100101101
3101112000022211220021200
41212132123032310231
53300321210334013
6122314214120113
710643461412034
oct1463633166455
9345008756250
10110032121133
114273429a200
12193a9650039
13a4b70654ac
14547b58571b
152cded3ee73
hex199e6ced2d

110032121133 has 18 divisors (see below), whose sum is σ = 174697464942. Its totient is φ = 66686133360.

The previous prime is 110032121083. The next prime is 110032121161. The reversal of 110032121133 is 331121230011.

110032121133 is a `hidden beast` number, since 1 + 100 + 321 + 211 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67981697289 + 42050423844 = 260733^2 + 205062^2 .

It is not a de Polignac number, because 110032121133 - 29 = 110032120621 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110032121183) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50518710 + ... + 50520887.

It is an arithmetic number, because the mean of its divisors is an integer number (9705414719).

Almost surely, 2110032121133 is an apocalyptic number.

It is an amenable number.

110032121133 is a deficient number, since it is larger than the sum of its proper divisors (64665343809).

110032121133 is a wasteful number, since it uses less digits than its factorization.

110032121133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101039625 (or 101039611 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 110032121133 its reverse (331121230011), we get a palindrome (441153351144).

The spelling of 110032121133 in words is "one hundred ten billion, thirty-two million, one hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 11 33 99 121 363 1089 101039597 303118791 909356373 1111435567 3334306701 10002920103 12225791237 36677373711 110032121133