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213334312303133 = 73712492383127673
BaseRepresentation
bin110000100000011011000011…
…111001110011101000011101
31000222100120011000201012202222
4300200123003321303220131
5210430232132422200013
62033420232522555125
762635616063635010
oct6040330371635035
91028316130635688
10213334312303133
1161a7a63475455a
121bb15751668aa5
139206454677438
143a97615c03377
15199e4ad3c3508
hexc206c3e73a1d

213334312303133 has 32 divisors (see below), whose sum is σ = 250620171840000. Its totient is φ = 177759544135680.

The previous prime is 213334312303081. The next prime is 213334312303139. The reversal of 213334312303133 is 331303213433312.

It is a cyclic number.

It is not a de Polignac number, because 213334312303133 - 26 = 213334312303069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213334312303093 and 213334312303102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213334312303139) 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, 7709100185 + ... + 7709127857.

It is an arithmetic number, because the mean of its divisors is an integer number (7831880370000).

Almost surely, 2213334312303133 is an apocalyptic number.

It is an amenable number.

213334312303133 is a deficient number, since it is larger than the sum of its proper divisors (37285859536867).

213334312303133 is a wasteful number, since it uses less digits than its factorization.

213334312303133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52797.

The product of its (nonzero) digits is 104976, while the sum is 35.

Adding to 213334312303133 its reverse (331303213433312), we get a palindrome (544637525736445).

The spelling of 213334312303133 in words is "two hundred thirteen trillion, three hundred thirty-four billion, three hundred twelve million, three hundred three thousand, one hundred thirty-three".

Divisors: 1 7 37 259 1249 8743 23831 27673 46213 166817 193711 323491 881747 1023901 6172229 7167307 29764919 34563577 208354433 241945039 659475263 1101302003 1278852349 4616326841 7709114021 8951966443 24400584731 170804093117 823684603487 5765792224409 30476330329019 213334312303133