Search a number
-
+
105424102128 = 24331113626987
BaseRepresentation
bin110001000101111000…
…1000010001011110000
3101002010012001021120010
41202023301002023300
53211402032232003
6120233044214520
710421336040222
oct1421361021360
9332105037503
10105424102128
114078a180334
121852239a440
139c3149b227
14516159c412
152b20516003
hex188bc422f0

105424102128 has 80 divisors (see below), whose sum is σ = 283619275776. Its totient is φ = 33706767360.

The previous prime is 105424102127. The next prime is 105424102171. The reversal of 105424102128 is 821201424501.

It is a super-2 number, since 2×1054241021282 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105424102095 and 105424102104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105424102127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145350 + ... + 481637.

Almost surely, 2105424102128 is an apocalyptic number.

It is an amenable number.

105424102128 is an abundant number, since it is smaller than the sum of its proper divisors (178195173648).

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

105424102128 is a wasteful number, since it uses less digits than its factorization.

105424102128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627142 (or 627136 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

Adding to 105424102128 its reverse (821201424501), we get a palindrome (926625526629).

The spelling of 105424102128 in words is "one hundred five billion, four hundred twenty-four million, one hundred two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 113 124 186 226 248 339 372 452 496 678 744 904 1356 1488 1808 2712 3503 5424 7006 10509 14012 21018 28024 42036 56048 84072 168144 626987 1253974 1880961 2507948 3761922 5015896 7523844 10031792 15047688 19436597 30095376 38873194 58309791 70849531 77746388 116619582 141699062 155492776 212548593 233239164 283398124 310985552 425097186 466478328 566796248 850194372 932956656 1133592496 1700388744 2196335461 3400777488 4392670922 6589006383 8785341844 13178012766 17570683688 26356025532 35141367376 52712051064 105424102128