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121100104000 = 265321796947
BaseRepresentation
bin111000011001000100…
…0001111000101000000
3102120120200012200111001
41300302020033011000
53441003111312000
6131344351301344
711514654620461
oct1606210170500
9376520180431
10121100104000
11473a3940587
121b57821a854
13b55c0a3495
145c0b4b0d68
15323b85c46a
hex1c3220f140

121100104000 has 112 divisors (see below), whose sum is σ = 300085231680. Its totient is φ = 48410841600.

The previous prime is 121100103991. The next prime is 121100104001. The reversal of 121100104000 is 401001121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121100104001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17428527 + ... + 17435473.

Almost surely, 2121100104000 is an apocalyptic number.

121100104000 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 121100104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150042615840).

121100104000 is an abundant number, since it is smaller than the sum of its proper divisors (178985127680).

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

121100104000 is an equidigital number, since it uses as much as digits as its factorization.

121100104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9153 (or 9133 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121100104000 its reverse (401001121), we get a palindrome (121501105121).

The spelling of 121100104000 in words is "one hundred twenty-one billion, one hundred million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 2179 4000 4358 6947 8000 8716 10895 13894 17432 21790 27788 34735 34864 43580 54475 55576 69470 69728 87160 108950 111152 138940 139456 173675 174320 217900 222304 272375 277880 347350 348640 435800 444608 544750 555760 694700 697280 868375 871600 1089500 1111520 1389400 1736750 1743200 2179000 2223040 2778800 3473500 3486400 4358000 5557600 6947000 8716000 11115200 13894000 15137513 17432000 27788000 30275026 55576000 60550052 75687565 121100104 151375130 242200208 302750260 378437825 484400416 605500520 756875650 968800832 1211001040 1513751300 1892189125 2422002080 3027502600 3784378250 4844004160 6055005200 7568756500 12110010400 15137513000 24220020800 30275026000 60550052000 121100104000