Search a number
-
+
10225134100 = 2252102251341
BaseRepresentation
bin10011000010111011…
…10010101000010100
3222101121101122001101
421201131302220110
5131420113242400
64410344035444
7511250130406
oct114135625024
928347348041
1010225134100
114377904655
121b94462b84
13c6c534a0c
146d0008b76
153eca2e56a
hex261772a14

10225134100 has 18 divisors (see below), whose sum is σ = 22188541214. Its totient is φ = 4090053600.

The previous prime is 10225134091. The next prime is 10225134103. The reversal of 10225134100 is 143152201.

It can be written as a sum of positive squares in 3 ways, for example, as 55621764 + 10169512336 = 7458^2 + 100844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10225134103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51125571 + ... + 51125770.

Almost surely, 210225134100 is an apocalyptic number.

10225134100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10225134100 is an abundant number, since it is smaller than the sum of its proper divisors (11963407114).

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

10225134100 is a wasteful number, since it uses less digits than its factorization.

10225134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102251355 (or 102251348 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 10225134100 its reverse (143152201), we get a palindrome (10368286301).

The spelling of 10225134100 in words is "ten billion, two hundred twenty-five million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 102251341 204502682 409005364 511256705 1022513410 2045026820 2556283525 5112567050 10225134100