Search a number
-
+
10432331300 = 2252372819549
BaseRepresentation
bin10011011011101000…
…01011111000100100
3222221001021100011202
421231310023320210
5132331134100200
64443105022032
7516344232026
oct115564137044
928831240152
1010432331300
114473862a06
122031924918
13ca343bc01
1470d742016
15410d0b1d5
hex26dd0be24

10432331300 has 36 divisors (see below), whose sum is σ = 23250009300. Its totient is φ = 4060149120.

The previous prime is 10432331297. The next prime is 10432331303. The reversal of 10432331300 is 313323401.

10432331300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10432331297) and next prime (10432331303).

It can be written as a sum of positive squares in 6 ways, for example, as 1642518784 + 8789812516 = 40528^2 + 93754^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10432331303) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1406075 + ... + 1413474.

Almost surely, 210432331300 is an apocalyptic number.

10432331300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10432331300 is an abundant number, since it is smaller than the sum of its proper divisors (12817678000).

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

10432331300 is a wasteful number, since it uses less digits than its factorization.

10432331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819600 (or 2819593 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10432331300 its reverse (313323401), we get a palindrome (10745654701).

The spelling of 10432331300 in words is "ten billion, four hundred thirty-two million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 2819549 5639098 11278196 14097745 28195490 56390980 70488725 104323313 140977450 208646626 281954900 417293252 521616565 1043233130 2086466260 2608082825 5216165650 10432331300