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100031223220 = 22527901179261
BaseRepresentation
bin101110100101001010…
…0110101010110110100
3100120012100101122110021
41131022110311112310
53114330443120340
6113542000134524
710140603240205
oct1351224652664
9316170348407
10100031223220
1139472021615
1217478307444
139582122416
144bad26b5ac
152906d55e4a
hex174a5355b4

100031223220 has 24 divisors (see below), whose sum is σ = 210074269608. Its totient is φ = 40010832000.

The previous prime is 100031223203. The next prime is 100031223223. The reversal of 100031223220 is 22322130001.

It can be written as a sum of positive squares in 4 ways, for example, as 29681087524 + 70350135696 = 172282^2 + 265236^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100031223194 and 100031223203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100031223223) by changing a digit.

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, 468390 + ... + 647650.

It is an arithmetic number, because the mean of its divisors is an integer number (8753094567).

Almost surely, 2100031223220 is an apocalyptic number.

100031223220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100031223220 is an abundant number, since it is smaller than the sum of its proper divisors (110043046388).

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

100031223220 is a wasteful number, since it uses less digits than its factorization.

100031223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207171 (or 207169 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100031223220 its reverse (22322130001), we get a palindrome (122353353221).

The spelling of 100031223220 in words is "one hundred billion, thirty-one million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 27901 55802 111604 139505 179261 279010 358522 558020 717044 896305 1792610 3585220 5001561161 10003122322 20006244644 25007805805 50015611610 100031223220