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105122403020 = 22527718975163
BaseRepresentation
bin110000111100111001…
…0001001001011001100
3101001100011100101012002
41201321302021023030
53210242313344040
6120143105531432
710411013453045
oct1417162111314
9331304311162
10105122403020
1140644946328
1218459343b78
139bb3b26c4b
1451334a58cc
152b03cbda15
hex1879c892cc

105122403020 has 24 divisors (see below), whose sum is σ = 221554014864. Its totient is φ = 41897157696.

The previous prime is 105122403019. The next prime is 105122403037. The reversal of 105122403020 is 20304221501.

It is a super-2 number, since 2×1051224030202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 105122402983 and 105122403001.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9482042 + ... + 9493121.

It is an arithmetic number, because the mean of its divisors is an integer number (9231417286).

Almost surely, 2105122403020 is an apocalyptic number.

105122403020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105122403020 is an abundant number, since it is smaller than the sum of its proper divisors (116431611844).

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

105122403020 is a wasteful number, since it uses less digits than its factorization.

105122403020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18975449 (or 18975447 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 105122403020 its reverse (20304221501), we get a palindrome (125426624521).

The spelling of 105122403020 in words is "one hundred five billion, one hundred twenty-two million, four hundred three thousand, twenty".

Divisors: 1 2 4 5 10 20 277 554 1108 1385 2770 5540 18975163 37950326 75900652 94875815 189751630 379503260 5256120151 10512240302 21024480604 26280600755 52561201510 105122403020