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1000120121 = 711131915231
BaseRepresentation
bin111011100111001…
…001111100111001
32120200220100212222
4323213021330321
54022012320441
6243124013425
733532611050
oct7347117471
92520810788
101000120121
114735a6060
1223ab31275
1312c27ca70
1496b7d397
155cc06d4b
hex3b9c9f39

1000120121 has 32 divisors (see below), whose sum is σ = 1350107136. Its totient is φ = 715464000.

The previous prime is 1000120103. The next prime is 1000120127. The reversal of 1000120121 is 1210210001.

It is a cyclic number.

It is not a de Polignac number, because 1000120121 - 26 = 1000120057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000120099 and 1000120108.

It is not an unprimeable number, because it can be changed into a prime (1000120127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 188576 + ... + 193806.

It is an arithmetic number, because the mean of its divisors is an integer number (42190848).

Almost surely, 21000120121 is an apocalyptic number.

1000120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000120121 is a deficient number, since it is larger than the sum of its proper divisors (349987015).

1000120121 is a wasteful number, since it uses less digits than its factorization.

1000120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5453.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1000120121 is about 31624.6758244255. The cubic root of 1000120121 is about 1000.0400387302.

Adding to 1000120121 its reverse (1210210001), we get a palindrome (2210330122).

It can be divided in two parts, 1000 and 120121, that added together give a palindrome (121121).

The spelling of 1000120121 in words is "one billion, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 191 1001 1337 2101 2483 5231 14707 17381 27313 36617 57541 68003 191191 402787 476021 748033 999121 5236231 6993847 10990331 12988573 76932317 90920011 142874303 1000120121