Search a number
-
+
10211220100 = 2252130378367
BaseRepresentation
bin10011000001010001…
…01101101010000100
3222100122012201122001
421200220231222010
5131403033020400
64405125515044
7511020636664
oct114050555204
928318181561
1010211220100
11436aa70884
121b8b872a84
13c696a2793
146cc2261a4
153eb6d1a6a
hex260a2da84

10211220100 has 36 divisors (see below), whose sum is σ = 22175636224. Its totient is φ = 4081301280.

The previous prime is 10211220043. The next prime is 10211220101. The reversal of 10211220100 is 102211201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10211220101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91117 + ... + 169483.

Almost surely, 210211220100 is an apocalyptic number.

10211220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211220100 is an abundant number, since it is smaller than the sum of its proper divisors (11964416124).

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

10211220100 is a wasteful number, since it uses less digits than its factorization.

10211220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79684 (or 79677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10211220100 its reverse (102211201), we get a palindrome (10313431301).

The spelling of 10211220100 in words is "ten billion, two hundred eleven million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1303 2606 5212 6515 13030 26060 32575 65150 78367 130300 156734 313468 391835 783670 1567340 1959175 3918350 7836700 102112201 204224402 408448804 510561005 1021122010 2042244020 2552805025 5105610050 10211220100