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103121120300 = 225211293232637
BaseRepresentation
bin110000000001001111…
…1110110110000101100
3100212011200120200101212
41200002133312300230
53142143001322200
6115212335253552
710310303026412
oct1400237666054
9325150520355
10103121120300
113a808202a70
1217b9b07a2b8
139955320aa3
144dc37952b2
152a38256035
hex18027f6c2c

103121120300 has 72 divisors (see below), whose sum is σ = 252533680560. Its totient is φ = 36205523200.

The previous prime is 103121120299. The next prime is 103121120303. The reversal of 103121120300 is 3021121301.

It is not an unprimeable number, because it can be changed into a prime (103121120303) 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 23 ways as a sum of consecutive naturals, for example, 1584419 + ... + 1648218.

It is an arithmetic number, because the mean of its divisors is an integer number (3507412230).

Almost surely, 2103121120300 is an apocalyptic number.

103121120300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103121120300 is an abundant number, since it is smaller than the sum of its proper divisors (149412560260).

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

103121120300 is a wasteful number, since it uses less digits than its factorization.

103121120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232691 (or 3232684 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 103121120300 its reverse (3021121301), we get a palindrome (106142241601).

The spelling of 103121120300 in words is "one hundred three billion, one hundred twenty-one million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7975 15950 31900 3232637 6465274 12930548 16163185 32326370 35559007 64652740 71118014 80815925 93746473 142236028 161631850 177795035 187492946 323263700 355590070 374985892 468732365 711180140 888975175 937464730 1031211203 1777950350 1874929460 2062422406 2343661825 3555900700 4124844812 4687323650 5156056015 9374647300 10312112030 20624224060 25780280075 51560560150 103121120300