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13657801033 is a prime number
BaseRepresentation
bin11001011100001000…
…11000000101001001
31022020211120011211201
430232010120011021
5210432344113113
610135130024201
7662311251622
oct145604300511
938224504751
1013657801033
115879522078
122791b78061
131398757696
14937c7aa49
1554e08acdd
hex32e118149

13657801033 has 2 divisors, whose sum is σ = 13657801034. Its totient is φ = 13657801032.

The previous prime is 13657801019. The next prime is 13657801061. The reversal of 13657801033 is 33010875631.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7302044304 + 6355756729 = 85452^2 + 79723^2 .

It is an emirp because it is prime and its reverse (33010875631) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13657801033 - 29 = 13657800521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13657800983 and 13657801001.

It is not a weakly prime, because it can be changed into another prime (13657801733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6828900516 + 6828900517.

It is an arithmetic number, because the mean of its divisors is an integer number (6828900517).

Almost surely, 213657801033 is an apocalyptic number.

It is an amenable number.

13657801033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13657801033 is an equidigital number, since it uses as much as digits as its factorization.

13657801033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 13657801033 in words is "thirteen billion, six hundred fifty-seven million, eight hundred one thousand, thirty-three".