Search a number
-
+
103023230100 = 223527231322391
BaseRepresentation
bin101111111110010101…
…0011011110010010100
3100211220212101100021220
41133330222123302110
53141442421330400
6115154521210340
710305004002300
oct1377452336224
9324825340256
10103023230100
113a767a2267a
1217b723309b0
13993ac686ab
144db4792d00
152a2e86b7a0
hex17fca9bc94

103023230100 has 216 divisors, whose sum is σ = 347870109888. Its totient is φ = 23471884800.

The previous prime is 103023230077. The next prime is 103023230147. The reversal of 103023230100 is 1032320301.

103023230100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030232301002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103023230100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4589905 + ... + 4612295.

It is an arithmetic number, because the mean of its divisors is an integer number (1610509768).

Almost surely, 2103023230100 is an apocalyptic number.

103023230100 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 103023230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173935054944).

103023230100 is an abundant number, since it is smaller than the sum of its proper divisors (244846879788).

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

103023230100 is a wasteful number, since it uses less digits than its factorization.

103023230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22735 (or 22721 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103023230100 its reverse (1032320301), we get a palindrome (104055550401).

The spelling of 103023230100 in words is "one hundred three billion, twenty-three million, two hundred thirty thousand, one hundred".