Search a number
-
+
103123020 = 22357111317101
BaseRepresentation
bin1100010010110…
…00100001001100
321012001012012010
412021120201030
5202344414040
614122141220
72361350130
oct611304114
9235035163
10103123020
1153234940
122a651810
1318498150
14d9a53c0
1590bee80
hex625884c

103123020 has 384 divisors, whose sum is σ = 414554112. Its totient is φ = 18432000.

The previous prime is 103122997. The next prime is 103123039. The reversal of 103123020 is 20321301.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 103122987 and 103123005.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1020970 + ... + 1021070.

It is an arithmetic number, because the mean of its divisors is an integer number (1079568).

Almost surely, 2103123020 is an apocalyptic number.

103123020 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 103123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207277056).

103123020 is an abundant number, since it is smaller than the sum of its proper divisors (311431092).

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

103123020 is a wasteful number, since it uses less digits than its factorization.

103123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

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

The square root of 103123020 is about 10154.9505168661. The cubic root of 103123020 is about 468.9413625786.

Adding to 103123020 its reverse (20321301), we get a palindrome (123444321).

The spelling of 103123020 in words is "one hundred three million, one hundred twenty-three thousand, twenty".