Search a number
-
+
10105501210 = 257312150223
BaseRepresentation
bin10010110100101010…
…11011011000011010
3222002021021122120121
421122111123120122
5131144002014320
64350431543454
7505265225440
oct113225333032
928067248517
1010105501210
1143163236a2
121b6038ab8a
13c50808c1c
146bc186b90
153e229c8aa
hex25a55b61a

10105501210 has 48 divisors (see below), whose sum is σ = 21480830208. Its totient is φ = 3352955040.

The previous prime is 10105501207. The next prime is 10105501249. The reversal of 10105501210 is 1210550101.

10105501210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101055012102 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 7842 + ... + 142381.

It is an arithmetic number, because the mean of its divisors is an integer number (447517296).

Almost surely, 210105501210 is an apocalyptic number.

10105501210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10105501210 is an abundant number, since it is smaller than the sum of its proper divisors (11375328998).

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

10105501210 is a wasteful number, since it uses less digits than its factorization.

10105501210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150299 (or 150268 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 16.

The spelling of 10105501210 in words is "ten billion, one hundred five million, five hundred one thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 31 35 62 70 155 217 310 434 961 1085 1922 2170 4805 6727 9610 13454 33635 67270 150223 300446 751115 1051561 1502230 2103122 4656913 5257805 9313826 10515610 23284565 32598391 46569130 65196782 144364303 162991955 288728606 325983910 721821515 1010550121 1443643030 2021100242 5052750605 10105501210