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3101042322 = 2327233710433
BaseRepresentation
bin1011100011010110…
…0010011010010010
322000010011021100100
42320311202122102
522322331323242
61231414033230
7136563265500
oct27065423222
98003137310
103101042322
111351503aa4
12726648816
133a56015b1
14215bc9670
151323a254c
hexb8d62692

3101042322 has 72 divisors (see below), whose sum is σ = 7839836316. Its totient is φ = 883298304.

The previous prime is 3101042311. The next prime is 3101042327. The reversal of 3101042322 is 2232401013.

It can be written as a sum of positive squares in 2 ways, for example, as 3094585641 + 6456681 = 55629^2 + 2541^2 .

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 = 3101042295 and 3101042304.

It is not an unprimeable number, because it can be changed into a prime (3101042327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 292018 + ... + 302450.

Almost surely, 23101042322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3101042322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919918158).

3101042322 is an abundant number, since it is smaller than the sum of its proper divisors (4738793994).

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

3101042322 is a wasteful number, since it uses less digits than its factorization.

3101042322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10792 (or 10782 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3101042322 is about 55687.0031695009. The cubic root of 3101042322 is about 1458.2631378835.

Adding to 3101042322 its reverse (2232401013), we get a palindrome (5333443335).

The spelling of 3101042322 in words is "three billion, one hundred one million, forty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 337 441 674 882 1011 2022 2359 3033 4718 6066 7077 10433 14154 16513 20866 21231 31299 33026 42462 49539 62598 73031 93897 99078 146062 148617 187794 219093 297234 438186 511217 657279 1022434 1314558 1533651 3067302 3515921 4600953 7031842 9201906 10547763 21095526 24611447 31643289 49222894 63286578 73834341 147668682 172280129 221503023 344560258 443006046 516840387 1033680774 1550521161 3101042322