Search a number
-
+
10570210100 = 2252105702101
BaseRepresentation
bin10011101100000100…
…01001101100110100
31000021122201022022222
421312002021230310
5133121433210400
64504512141512
7522640206032
oct116602115464
930248638288
1010570210100
11453467632a
12206bb37898
13cc5b858b8
14723b93552
1541ce94185
hex276089b34

10570210100 has 18 divisors (see below), whose sum is σ = 22937356134. Its totient is φ = 4228084000.

The previous prime is 10570210067. The next prime is 10570210111. The reversal of 10570210100 is 101207501.

It can be written as a sum of positive squares in 3 ways, for example, as 317837584 + 10252372516 = 17828^2 + 101254^2 .

It is a super-2 number, since 2×105702101002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52850951 + ... + 52851150.

It is an arithmetic number, because the mean of its divisors is an integer number (1274297563).

Almost surely, 210570210100 is an apocalyptic number.

10570210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10570210100 is an abundant number, since it is smaller than the sum of its proper divisors (12367146034).

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

10570210100 is a wasteful number, since it uses less digits than its factorization.

10570210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105702115 (or 105702108 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 17.

Adding to 10570210100 its reverse (101207501), we get a palindrome (10671417601).

The spelling of 10570210100 in words is "ten billion, five hundred seventy million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 105702101 211404202 422808404 528510505 1057021010 2114042020 2642552525 5285105050 10570210100