Search a number
-
+
1032230100 = 223521119101163
BaseRepresentation
bin111101100001101…
…001010011010100
32122221022201111110
4331201221103110
54103222330400
6250232135020
734402545126
oct7541512324
92587281443
101032230100
1148a737830
12249837470
13135b13255
149b13b216
156094ae50
hex3d8694d4

1032230100 has 288 divisors, whose sum is σ = 3484776960. Its totient is φ = 233280000.

The previous prime is 1032230083. The next prime is 1032230117. The reversal of 1032230100 is 10322301.

It is a happy number.

1032230100 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 (1032230083) and next prime (1032230117).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6332619 + ... + 6332781.

It is an arithmetic number, because the mean of its divisors is an integer number (12099920).

Almost surely, 21032230100 is an apocalyptic number.

1032230100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742388480).

1032230100 is an abundant number, since it is smaller than the sum of its proper divisors (2452546860).

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

1032230100 is a wasteful number, since it uses less digits than its factorization.

1032230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1032230100 is about 32128.3379588799. The cubic root of 1032230100 is about 1010.6299700217.

Adding to 1032230100 its reverse (10322301), we get a palindrome (1042552401).

1032230100 divided by its reverse (10322301) gives a square (100 = 102).

It can be divided in two parts, 1032 and 230100, that added together give a palindrome (231132).

The spelling of 1032230100 in words is "one billion, thirty-two million, two hundred thirty thousand, one hundred".