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11312111101033 is a prime number
BaseRepresentation
bin1010010010011100111001…
…0111010010010001101001
31111001102112110202101101001
42210213032113102101221
52440314200420213113
640020413451355001
72245162441601311
oct244471627222151
944042473671331
1011312111101033
1136714918a0716
121328443152a61
1364095c416a22
142b171ad76441
151493c22327dd
hexa49ce5d2469

11312111101033 has 2 divisors, whose sum is σ = 11312111101034. Its totient is φ = 11312111101032.

The previous prime is 11312111101009. The next prime is 11312111101121. The reversal of 11312111101033 is 33010111121311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8332852142224 + 2979258958809 = 2886668^2 + 1726053^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11312111101033 is a prime.

It is a super-2 number, since 2×113121111010332 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11312111101033.

It is not a weakly prime, because it can be changed into another prime (11312111161033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5656055550516 + 5656055550517.

It is an arithmetic number, because the mean of its divisors is an integer number (5656055550517).

Almost surely, 211312111101033 is an apocalyptic number.

It is an amenable number.

11312111101033 is a deficient number, since it is larger than the sum of its proper divisors (1).

11312111101033 is an equidigital number, since it uses as much as digits as its factorization.

11312111101033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 11312111101033 its reverse (33010111121311), we get a palindrome (44322222222344).

The spelling of 11312111101033 in words is "eleven trillion, three hundred twelve billion, one hundred eleven million, one hundred one thousand, thirty-three".