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103031110300 = 225213743117449
BaseRepresentation
bin101111111110100100…
…0011111101010011100
3100211221102012200220011
41133331020133222130
53142001431012200
6115155402133004
710305130662526
oct1377510375234
9324842180804
10103031110300
113a771415138
1217b74ab1164
13993c797431
144db5844a16
152a303c65ba
hex17fd21fa9c

103031110300 has 72 divisors (see below), whose sum is σ = 225744926400. Its totient is φ = 40814361600.

The previous prime is 103031110279. The next prime is 103031110307. The reversal of 103031110300 is 3011130301.

It is a happy number.

103031110300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103031110307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5895976 + ... + 5913424.

It is an arithmetic number, because the mean of its divisors is an integer number (3135346200).

Almost surely, 2103031110300 is an apocalyptic number.

103031110300 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 103031110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112872463200).

103031110300 is an abundant number, since it is smaller than the sum of its proper divisors (122713816100).

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

103031110300 is a wasteful number, since it uses less digits than its factorization.

103031110300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18031 (or 18024 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 103031110300 its reverse (3011130301), we get a palindrome (106042240601).

The spelling of 103031110300 in words is "one hundred three billion, thirty-one million, one hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 431 548 685 862 1370 1724 2155 2740 3425 4310 6850 8620 10775 13700 17449 21550 34898 43100 59047 69796 87245 118094 174490 236188 295235 348980 436225 590470 872450 1180940 1476175 1744900 2390513 2952350 4781026 5904700 7520519 9562052 11952565 15041038 23905130 30082076 37602595 47810260 59762825 75205190 119525650 150410380 188012975 239051300 376025950 752051900 1030311103 2060622206 4121244412 5151555515 10303111030 20606222060 25757777575 51515555150 103031110300