Search a number
-
+
105010605050 = 25213198502883
BaseRepresentation
bin110000111001100011…
…1101010101111111010
3101001001100222110012112
41201303013222233322
53210030203330200
6120124033412322
710405155262331
oct1416307525772
9331040873175
10105010605050
114059782690a
1218427a0a0a2
139b969123c0
1451226c2d18
152ae9088535
hex18731eabfa

105010605050 has 48 divisors (see below), whose sum is σ = 221415099360. Its totient is φ = 36732450240.

The previous prime is 105010604969. The next prime is 105010605059. The reversal of 105010605050 is 50506010501.

It is a super-2 number, since 2×1050106050502 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105010605059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4239092 + ... + 4263791.

It is an arithmetic number, because the mean of its divisors is an integer number (4612814570).

Almost surely, 2105010605050 is an apocalyptic number.

105010605050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105010605050 is an abundant number, since it is smaller than the sum of its proper divisors (116404494310).

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

105010605050 is a wasteful number, since it uses less digits than its factorization.

105010605050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8502927 (or 8502922 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 105010605050 its reverse (50506010501), we get a palindrome (155516615551).

The spelling of 105010605050 in words is "one hundred five billion, ten million, six hundred five thousand, fifty".

Divisors: 1 2 5 10 13 19 25 26 38 50 65 95 130 190 247 325 475 494 650 950 1235 2470 6175 12350 8502883 17005766 42514415 85028830 110537479 161554777 212572075 221074958 323109554 425144150 552687395 807773885 1105374790 1615547770 2100212101 2763436975 4038869425 4200424202 5526873950 8077738850 10501060505 21002121010 52505302525 105010605050