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100023422020 = 225157121326261
BaseRepresentation
bin101110100100111011…
…1000100110001000100
3100120011210201022012221
41131021313010301010
53114321444001040
6113541121022124
710140450026164
oct1351167046104
9316153638187
10100023422020
1139468683445
1217475784944
139580620622
144bac1da5a4
15290631474a
hex1749dc4c44

100023422020 has 48 divisors (see below), whose sum is σ = 211569403248. Its totient is φ = 39720245760.

The previous prime is 100023421997. The next prime is 100023422029. The reversal of 100023422020 is 20224320001.

100023422020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 53671915584 + 46351506436 = 231672^2 + 215294^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100023421985 and 100023422003.

It is not an unprimeable number, because it can be changed into a prime (100023422029) 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 15 ways as a sum of consecutive naturals, for example, 3795690 + ... + 3821950.

It is an arithmetic number, because the mean of its divisors is an integer number (4407695901).

Almost surely, 2100023422020 is an apocalyptic number.

100023422020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100023422020 is an abundant number, since it is smaller than the sum of its proper divisors (111545981228).

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

100023422020 is a wasteful number, since it uses less digits than its factorization.

100023422020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27640 (or 27638 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 100023422020 its reverse (20224320001), we get a palindrome (120247742021).

The spelling of 100023422020 in words is "one hundred billion, twenty-three million, four hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1213 1570 2426 3140 4852 6065 12130 24260 26261 52522 105044 131305 190441 262610 380882 525220 761764 952205 1904410 3808820 4122977 8245954 16491908 20614885 31854593 41229770 63709186 82459540 127418372 159272965 318545930 637091860 5001171101 10002342202 20004684404 25005855505 50011711010 100023422020