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1201011201110 = 25731294118973
BaseRepresentation
bin10001011110100001110…
…110001001010001010110
311020211000112110110010102
4101132201312021101112
5124134132331413420
62315423102054102
7152525114525150
oct21364166112126
94224015413112
101201011201110
11423389570496
1217492027a332
1389340c47366
14421b494dad0
1521393880a75
hex117a1d89456

1201011201110 has 96 divisors (see below), whose sum is σ = 2555768655936. Its totient is φ = 398047737600.

The previous prime is 1201011201083. The next prime is 1201011201149. The reversal of 1201011201110 is 111021101021.

It is a junction number, because it is equal to n+sod(n) for n = 1201011201091 and 1201011201100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63291584 + ... + 63310556.

It is an arithmetic number, because the mean of its divisors is an integer number (26622590166).

Almost surely, 21201011201110 is an apocalyptic number.

1201011201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1201011201110 is an abundant number, since it is smaller than the sum of its proper divisors (1354757454826).

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

1201011201110 is a wasteful number, since it uses less digits than its factorization.

1201011201110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19990 (or 19959 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1201011201110 its reverse (111021101021), we get a palindrome (1312032302131).

The spelling of 1201011201110 in words is "one trillion, two hundred one billion, eleven million, two hundred one thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 31 35 62 70 155 217 310 434 941 961 1085 1882 1922 2170 4705 4805 6587 6727 9410 9610 13174 13454 18973 29171 32935 33635 37946 58342 65870 67270 94865 132811 145855 189730 204197 265622 291710 408394 588163 664055 904301 1020985 1176326 1328110 1808602 2041970 2940815 4117141 4521505 5881630 6330107 8234282 9043010 12660214 17853593 18233053 20585705 31650535 35707186 36466106 41171410 63301070 89267965 91165265 124975151 127631371 178535930 182330530 249950302 255262742 553461383 624875755 638156855 1106922766 1249751510 1276313710 2767306915 3874229681 5534613830 7748459362 17157302873 19371148405 34314605746 38742296810 85786514365 120101120111 171573028730 240202240222 600505600555 1201011201110