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103113301032 = 233271714478317
BaseRepresentation
bin110000000001000001…
…0000001110000101000
3100212011010212102101100
41200002002001300220
53142134001113112
6115211455521400
710310146411620
oct1400202016050
9325133772340
10103113301032
113a803852265
1217b98529260
1399538139c1
144dc271b880
152a3770e2dc
hex1802081c28

103113301032 has 192 divisors, whose sum is σ = 338208549120. Its totient is φ = 27705452544.

The previous prime is 103113301009. The next prime is 103113301033. The reversal of 103113301032 is 230103311301.

It is a happy number.

103113301032 is a `hidden beast` number, since 10 + 311 + 330 + 10 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103113300996 and 103113301014.

It is not an unprimeable number, because it can be changed into a prime (103113301033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12393738 + ... + 12402054.

It is an arithmetic number, because the mean of its divisors is an integer number (1761502860).

Almost surely, 2103113301032 is an apocalyptic number.

103113301032 is a gapful number since it is divisible by the number (12) 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 103113301032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169104274560).

103113301032 is an abundant number, since it is smaller than the sum of its proper divisors (235095248088).

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

103113301032 is a wasteful number, since it uses less digits than its factorization.

103113301032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9800 (or 9793 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103113301032 its reverse (230103311301), we get a palindrome (333216612333).

The spelling of 103113301032 in words is "one hundred three billion, one hundred thirteen million, three hundred one thousand, thirty-two".