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1212300304100 = 2252412931009157
BaseRepresentation
bin10001101001000010101…
…110101001111011100100
311021220011021220022002222
4101221002232221323210
5124330242334212400
62324531214451512
7153404634363644
oct21510256517344
94256137808088
101212300304100
11428151a0a676
12176b50b03b98
138a41ca25862
1442965d98524
15218049ca185
hex11a42ba9ee4

1212300304100 has 72 divisors (see below), whose sum is σ = 2704055007528. Its totient is φ = 471477683200.

The previous prime is 1212300304099. The next prime is 1212300304129. The reversal of 1212300304100 is 14030032121.

It can be written as a sum of positive squares in 12 ways, for example, as 506636462656 + 705663841444 = 711784^2 + 840038^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696722 + ... + 1705878.

It is an arithmetic number, because the mean of its divisors is an integer number (37556319549).

Almost surely, 21212300304100 is an apocalyptic number.

1212300304100 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 1212300304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352027503764).

1212300304100 is an abundant number, since it is smaller than the sum of its proper divisors (1491754703428).

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

1212300304100 is a wasteful number, since it uses less digits than its factorization.

1212300304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009505 (or 1009498 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1212300304100 its reverse (14030032121), we get a palindrome (1226330336221).

The spelling of 1212300304100 in words is "one trillion, two hundred twelve billion, three hundred million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 293 410 586 820 1025 1172 1465 2050 2930 4100 5860 7325 12013 14650 24026 29300 48052 60065 120130 240260 300325 600650 1009157 1201300 2018314 4036628 5045785 10091570 20183140 25228925 41375437 50457850 82750874 100915700 165501748 206877185 295683001 413754370 591366002 827508740 1034385925 1182732004 1478415005 2068771850 2956830010 4137543700 5913660020 7392075025 12123003041 14784150050 24246006082 29568300100 48492012164 60615015205 121230030410 242460060820 303075076025 606150152050 1212300304100