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103012031100 = 2235211210128097
BaseRepresentation
bin101111111101111111…
…1101101101001111100
3100211220002022101011010
41133323333231221330
53141432034443400
6115153441155220
710304506550166
oct1377377555174
9324802271133
10103012031100
113a761673700
1217b6a62bb10
139938847174
144db30b9936
152a2d8a8450
hex17fbfeda7c

103012031100 has 216 divisors, whose sum is σ = 330862042224. Its totient is φ = 24724480000.

The previous prime is 103012031077. The next prime is 103012031107. The reversal of 103012031100 is 1130210301.

It is a super-2 number, since 2×1030120311002 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103012031107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3652252 + ... + 3680348.

It is an arithmetic number, because the mean of its divisors is an integer number (1531768714).

Almost surely, 2103012031100 is an apocalyptic number.

103012031100 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 103012031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165431021112).

103012031100 is an abundant number, since it is smaller than the sum of its proper divisors (227850011124).

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

103012031100 is a wasteful number, since it uses less digits than its factorization.

103012031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28237 (or 28219 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103012031100 its reverse (1130210301), we get a palindrome (104142241401).

The spelling of 103012031100 in words is "one hundred three billion, twelve million, thirty-one thousand, one hundred".