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1021102012200 = 233524313948577
BaseRepresentation
bin11101101101111100110…
…11000011011100101000
310121121122100120201021110
432312332123003130220
5113212204103342300
62101030543510320
7133525600616334
oct16667633033450
93547570521243
101021102012200
11364057513aa6
12145a90bb83a0
137539c079caa
14375c8c327c4
151b864114550
hexedbe6c3728

1021102012200 has 96 divisors (see below), whose sum is σ = 3172761394560. Its totient is φ = 271662028800.

The previous prime is 1021102012171. The next prime is 1021102012201. The reversal of 1021102012200 is 22102011201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1021102012201) 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, 1715689 + ... + 2232888.

It is an arithmetic number, because the mean of its divisors is an integer number (33049597860).

Almost surely, 21021102012200 is an apocalyptic number.

1021102012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021102012200 is an abundant number, since it is smaller than the sum of its proper divisors (2151659382360).

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

1021102012200 is a wasteful number, since it uses less digits than its factorization.

1021102012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949027 (or 3949018 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1021102012200 its reverse (22102011201), we get a palindrome (1043204023401).

Subtracting from 1021102012200 its reverse (22102011201), we obtain a palindrome (999000000999).

The spelling of 1021102012200 in words is "one trillion, twenty-one billion, one hundred two million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 431 600 862 1293 1724 2155 2586 3448 4310 5172 6465 8620 10344 10775 12930 17240 21550 25860 32325 43100 51720 64650 86200 129300 258600 3948577 7897154 11845731 15794308 19742885 23691462 31588616 39485770 47382924 59228655 78971540 94765848 98714425 118457310 157943080 197428850 236914620 296143275 394857700 473829240 592286550 789715400 1184573100 1701836687 2369146200 3403673374 5105510061 6807346748 8509183435 10211020122 13614693496 17018366870 20422040244 25527550305 34036733740 40844080488 42545917175 51055100610 68073467480 85091834350 102110201220 127637751525 170183668700 204220402440 255275503050 340367337400 510551006100 1021102012200