Search a number
-
+
10500451005 = 3511436612239
BaseRepresentation
bin10011100011110000…
…00010101010111101
31000002210110011211210
421301320002222331
5133001103413010
64453541035033
7521132234532
oct116170025275
930083404753
1010500451005
1144a925a290
1220506b5a79
13cb459c925
147187d4d89
15416cb4b20
hex271e02abd

10500451005 has 64 divisors (see below), whose sum is σ = 18791055360. Its totient is φ = 4962988800.

The previous prime is 10500450991. The next prime is 10500451019. The reversal of 10500451005 is 50015400501.

10500451005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10500450991) and next prime (10500451019).

It is not a de Polignac number, because 10500451005 - 28 = 10500450749 is a prime.

It is a super-3 number, since 3×105004510053 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4688676 + ... + 4690914.

It is an arithmetic number, because the mean of its divisors is an integer number (293610240).

Almost surely, 210500451005 is an apocalyptic number.

10500451005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10500451005 is a deficient number, since it is larger than the sum of its proper divisors (8290604355).

10500451005 is a wasteful number, since it uses less digits than its factorization.

10500451005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962.

The product of its (nonzero) digits is 500, while the sum is 21.

Adding to 10500451005 its reverse (50015400501), we get a palindrome (60515851506).

The spelling of 10500451005 in words is "ten billion, five hundred million, four hundred fifty-one thousand, five".

Divisors: 1 3 5 11 15 33 43 55 129 165 215 473 645 661 1419 1983 2239 2365 3305 6717 7095 7271 9915 11195 21813 24629 28423 33585 36355 73887 85269 96277 109065 123145 142115 288831 312653 369435 426345 481385 937959 1059047 1444155 1479979 1563265 3177141 4439937 4689795 5295235 7399895 15885705 16279769 22199685 48839307 63639097 81398845 190917291 244196535 318195485 700030067 954586455 2100090201 3500150335 10500451005