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1212400033 = 131735315541
BaseRepresentation
bin100100001000011…
…1100000110100001
310010111100022011221
41020100330012201
54440333300113
6320145535041
742021141655
oct11020740641
93114308157
101212400033
115724060a9
1229a044481
13164246590
14b703aa65
157168998d
hex4843c1a1

1212400033 has 16 divisors (see below), whose sum is σ = 1386470736. Its totient is φ = 1050255360.

The previous prime is 1212400009. The next prime is 1212400043. The reversal of 1212400033 is 3300042121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3655744 + 1208744289 = 1912^2 + 34767^2 .

It is a cyclic number.

It is not a de Polignac number, because 1212400033 - 213 = 1212391841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1212400003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70243 + ... + 85783.

It is an arithmetic number, because the mean of its divisors is an integer number (86654421).

Almost surely, 21212400033 is an apocalyptic number.

1212400033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1212400033 is a deficient number, since it is larger than the sum of its proper divisors (174070703).

1212400033 is a wasteful number, since it uses less digits than its factorization.

1212400033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15924.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1212400033 is about 34819.5352209072. The cubic root of 1212400033 is about 1066.3063115530.

Adding to 1212400033 its reverse (3300042121), we get a palindrome (4512442154).

The spelling of 1212400033 in words is "one billion, two hundred twelve million, four hundred thousand, thirty-three".

Divisors: 1 13 17 221 353 4589 6001 15541 78013 202033 264197 3434561 5485973 71317649 93261541 1212400033