Search a number
-
+
10131002200 = 2352114605001
BaseRepresentation
bin10010110111101101…
…01101001101011000
3222011001021020100201
421123312231031120
5131222014032300
64353142311544
7506025045364
oct113366551530
928131236321
1010131002200
1143297609a0
121b68a285b4
13c55b97177
146c17042a4
153e463866a
hex25bdad358

10131002200 has 48 divisors (see below), whose sum is σ = 25695911160. Its totient is φ = 3684000000.

The previous prime is 10131002131. The next prime is 10131002209. The reversal of 10131002200 is 220013101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131002209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2300301 + ... + 2304700.

Almost surely, 210131002200 is an apocalyptic number.

10131002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131002200 is an abundant number, since it is smaller than the sum of its proper divisors (15564908960).

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

10131002200 is a wasteful number, since it uses less digits than its factorization.

10131002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605028 (or 4605019 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10131002200 its reverse (220013101), we get a palindrome (10351015301).

The spelling of 10131002200 in words is "ten billion, one hundred thirty-one million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 4605001 9210002 18420004 23025005 36840008 46050010 50655011 92100020 101310022 115125025 184200040 202620044 230250050 253275055 405240088 460500100 506550110 921000200 1013100220 1266375275 2026200440 2532750550 5065501100 10131002200