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105002431224 = 2338774988713
BaseRepresentation
bin110000111001010100…
…0011111001011111000
3101001000210121011211020
41201302220133023320
53210021110244344
6120123142302440
710405025640045
oct1416250371370
9331023534736
10105002431224
1140593153789
1218425127a20
139b9500cb12
1451215961cc
152ae84c1719
hex1872a1f2f8

105002431224 has 32 divisors (see below), whose sum is σ = 262805453520. Its totient is φ = 34960893696.

The previous prime is 105002431211. The next prime is 105002431253. The reversal of 105002431224 is 422134200501.

It is a super-2 number, since 2×1050024312242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 105002431194 and 105002431203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2473309 + ... + 2515404.

Almost surely, 2105002431224 is an apocalyptic number.

It is an amenable number.

105002431224 is an abundant number, since it is smaller than the sum of its proper divisors (157803022296).

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

105002431224 is a wasteful number, since it uses less digits than its factorization.

105002431224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989599 (or 4989595 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 105002431224 its reverse (422134200501), we get a palindrome (527136631725).

The spelling of 105002431224 in words is "one hundred five billion, two million, four hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 877 1754 2631 3508 5262 7016 10524 21048 4988713 9977426 14966139 19954852 29932278 39909704 59864556 119729112 4375101301 8750202602 13125303903 17500405204 26250607806 35000810408 52501215612 105002431224