Search a number
-
+
103010031300 = 2235211371018353
BaseRepresentation
bin101111111101111100…
…0000101011011000100
3100211212221112202221110
41133323320011123010
53141431032000200
6115153330245020
710304453550651
oct1377370053304
9324787482843
10103010031300
113a760528180
1217b69a26770
1399382c6b57
144db2b18c28
152a2d610b50
hex17fbe056c4

103010031300 has 288 divisors, whose sum is σ = 337271163264. Its totient is φ = 24053760000.

The previous prime is 103010031269. The next prime is 103010031307. The reversal of 103010031300 is 3130010301.

It is a super-2 number, since 2×1030100313002 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (103010031307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12327924 + ... + 12336276.

It is an arithmetic number, because the mean of its divisors is an integer number (1171080428).

Almost surely, 2103010031300 is an apocalyptic number.

103010031300 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 103010031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168635581632).

103010031300 is an abundant number, since it is smaller than the sum of its proper divisors (234261131964).

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

103010031300 is a wasteful number, since it uses less digits than its factorization.

103010031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8519 (or 8512 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 103010031300 its reverse (3130010301), we get a palindrome (106140041601).

The spelling of 103010031300 in words is "one hundred three billion, ten million, thirty-one thousand, three hundred".