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110112101145 = 32529400121089
BaseRepresentation
bin110011010001100110…
…0010101001100011001
3101112012220100022020100
41212203030111030121
53301002144214040
6122330152250013
710645452262644
oct1464314251431
9345186308210
10110112101145
1142775457392
12194103a0909
13a4ca7b9747
145488044a5b
152ce6d8cb30
hex19a3315319

110112101145 has 48 divisors (see below), whose sum is σ = 197501101200. Its totient is φ = 56684544000.

The previous prime is 110112101107. The next prime is 110112101147. The reversal of 110112101145 is 541101211011.

It can be written as a sum of positive squares in 8 ways, for example, as 18870336 + 110093230809 = 4344^2 + 331803^2 .

It is not a de Polignac number, because 110112101145 - 26 = 110112101081 is a prime.

It is a super-2 number, since 2×1101121011452 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110112101147) 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 47 ways as a sum of consecutive naturals, for example, 5210761 + ... + 5231849.

It is an arithmetic number, because the mean of its divisors is an integer number (4114606275).

Almost surely, 2110112101145 is an apocalyptic number.

110112101145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

110112101145 is a deficient number, since it is larger than the sum of its proper divisors (87389000055).

110112101145 is a wasteful number, since it uses less digits than its factorization.

110112101145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25130 (or 25127 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 18.

Adding to 110112101145 its reverse (541101211011), we get a palindrome (651213312156).

The spelling of 110112101145 in words is "one hundred ten billion, one hundred twelve million, one hundred one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 4001 12003 20005 21089 36009 60015 63267 105445 116029 180045 189801 316335 348087 580145 611581 949005 1044261 1740435 1834743 3057905 5221305 5504229 9173715 27521145 84377089 253131267 421885445 759393801 1265656335 2446935581 3796969005 7340806743 12234677905 22022420229 36704033715 110112101145