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1012022000121 = 311232945978011
BaseRepresentation
bin11101011101000010011…
…01100011100111111001
310120202012112221022022210
432232201031203213321
5113040110113000441
62052525543405333
7133054564032036
oct16564115434771
93522175838283
101012022000121
11360218043590
12144178153849
1374582b63c92
1436da6d5038d
151b4d1dd0616
hexeba13639f9

1012022000121 has 32 divisors (see below), whose sum is σ = 1589000094720. Its totient is φ = 566449083200.

The previous prime is 1012022000069. The next prime is 1012022000153. The reversal of 1012022000121 is 1210002202101.

It is not a de Polignac number, because 1012022000121 - 27 = 1012021999993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012022000097 and 1012022000106.

It is not an unprimeable number, because it can be changed into a prime (1012022000221) 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 31 ways as a sum of consecutive naturals, for example, 22966995 + ... + 23011016.

It is an arithmetic number, because the mean of its divisors is an integer number (49656252960).

Almost surely, 21012022000121 is an apocalyptic number.

1012022000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012022000121 is a deficient number, since it is larger than the sum of its proper divisors (576978094599).

1012022000121 is a wasteful number, since it uses less digits than its factorization.

1012022000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45978077.

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

Adding to 1012022000121 its reverse (1210002202101), we get a palindrome (2222024202222).

The spelling of 1012022000121 in words is "one trillion, twelve billion, twenty-two million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 11 23 29 33 69 87 253 319 667 759 957 2001 7337 22011 45978011 137934033 505758121 1057494253 1333362319 1517274363 3172482759 4000086957 11632436783 14666985509 30667333337 34897310349 44000956527 92002000011 337340666707 1012022000121