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431104122 = 232176772081
BaseRepresentation
bin11001101100100…
…010000001111010
31010001012100200100
4121230202001322
51340330312442
6110440020230
713453216221
oct3154420172
91101170610
10431104122
1120138a9a9
12100461676
136b411cc7
144137dcb8
1527ca984c
hex19b2207a

431104122 has 48 divisors (see below), whose sum is σ = 990940392. Its totient is φ = 134983680.

The previous prime is 431104117. The next prime is 431104123. The reversal of 431104122 is 221401134.

It can be written as a sum of positive squares in 4 ways, for example, as 430106121 + 998001 = 20739^2 + 999^2 .

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 = 431104095 and 431104104.

It is not an unprimeable number, because it can be changed into a prime (431104123) 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 23 ways as a sum of consecutive naturals, for example, 206122 + ... + 208202.

Almost surely, 2431104122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431104122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495470196).

431104122 is an abundant number, since it is smaller than the sum of its proper divisors (559836270).

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

431104122 is a wasteful number, since it uses less digits than its factorization.

431104122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 431104122 is about 20763.0470307226. The cubic root of 431104122 is about 755.4297055366.

Adding to 431104122 its reverse (221401134), we get a palindrome (652505256).

The spelling of 431104122 in words is "four hundred thirty-one million, one hundred four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 677 1354 2031 2081 4062 4162 6093 6243 11509 12186 12486 18729 23018 34527 35377 37458 69054 70754 103581 106131 207162 212262 318393 636786 1408837 2817674 4226511 8453022 12679533 23950229 25359066 47900458 71850687 143701374 215552061 431104122