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103031023120 = 2451287887789
BaseRepresentation
bin101111111110100100…
…0001010011000010000
3100211221102001021022021
41133331020022120100
53142001420214440
6115155400221224
710305130150414
oct1377510123020
9324842037267
10103031023120
113a771365693
1217b74a6a814
13993c76684c
144db5820d44
152a303aa84a
hex17fd20a610

103031023120 has 20 divisors (see below), whose sum is σ = 239547128940. Its totient is φ = 41212409216.

The previous prime is 103031023099. The next prime is 103031023127. The reversal of 103031023120 is 21320130301.

103031023120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 42146447616 + 60884575504 = 205296^2 + 246748^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103031023094 and 103031023103.

It is not an unprimeable number, because it can be changed into a prime (103031023127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 643943815 + ... + 643943974.

It is an arithmetic number, because the mean of its divisors is an integer number (11977356447).

Almost surely, 2103031023120 is an apocalyptic number.

103031023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103031023120 is an abundant number, since it is smaller than the sum of its proper divisors (136516105820).

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

103031023120 is a wasteful number, since it uses less digits than its factorization.

103031023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287887802 (or 1287887796 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103031023120 its reverse (21320130301), we get a palindrome (124351153421).

The spelling of 103031023120 in words is "one hundred three billion, thirty-one million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1287887789 2575775578 5151551156 6439438945 10303102312 12878877890 20606204624 25757755780 51515511560 103031023120