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103141244120 = 2355949987583
BaseRepresentation
bin110000000001110110…
…0100111110011011000
3100212020002110002002112
41200003230213303120
53142213124302440
6115214334451452
710310636052425
oct1400354476330
9325202402075
10103141244120
113a8185a8322
1217ba5963b88
139959548685
144dc6312d4c
152a39dcd965
hex1803b27cd8

103141244120 has 64 divisors (see below), whose sum is σ = 236476800000. Its totient is φ = 40475495808.

The previous prime is 103141244099. The next prime is 103141244131. The reversal of 103141244120 is 21442141301.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1133849 + ... + 1221431.

It is an arithmetic number, because the mean of its divisors is an integer number (3694950000).

Almost surely, 2103141244120 is an apocalyptic number.

103141244120 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 103141244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118238400000).

103141244120 is an abundant number, since it is smaller than the sum of its proper divisors (133335555880).

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

103141244120 is a wasteful number, since it uses less digits than its factorization.

103141244120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88152 (or 88148 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 103141244120 its reverse (21442141301), we get a palindrome (124583385421).

The spelling of 103141244120 in words is "one hundred three billion, one hundred forty-one million, two hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 499 590 998 1180 1996 2360 2495 3992 4990 9980 19960 29441 58882 87583 117764 147205 175166 235528 294410 350332 437915 588820 700664 875830 1177640 1751660 3503320 5167397 10334794 20669588 25836985 41339176 43703917 51673970 87407834 103347940 174815668 206695880 218519585 349631336 437039170 874078340 1748156680 2578531103 5157062206 10314124412 12892655515 20628248824 25785311030 51570622060 103141244120