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1010311122023 = 7271290402737
BaseRepresentation
bin11101011001110110011…
…11000100110001100111
310120120210022121200210022
432230323033010301213
5113023104121401043
62052044105345355
7132664310562200
oct16547317046147
93516708550708
101010311122023
1135a51a320545
1214397b19825b
137436c579288
1436c83a365a7
151b431acd868
hexeb3b3c4c67

1010311122023 has 12 divisors (see below), whose sum is σ = 1191812836752. Its totient is φ = 853784043840.

The previous prime is 1010311121933. The next prime is 1010311122047. The reversal of 1010311122023 is 3202211130101.

It is not a de Polignac number, because 1010311122023 - 28 = 1010311121767 is a prime.

It is a super-2 number, since 2×10103111220232 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010311121992 and 1010311122010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010311122923) 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 11 ways as a sum of consecutive naturals, for example, 145197890 + ... + 145204847.

It is an arithmetic number, because the mean of its divisors is an integer number (99317736396).

Almost surely, 21010311122023 is an apocalyptic number.

1010311122023 is a deficient number, since it is larger than the sum of its proper divisors (181501714729).

1010311122023 is an equidigital number, since it uses as much as digits as its factorization.

1010311122023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290402822 (or 290402815 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1010311122023 its reverse (3202211130101), we get a palindrome (4212522252124).

The spelling of 1010311122023 in words is "one trillion, ten billion, three hundred eleven million, one hundred twenty-two thousand, twenty-three".

Divisors: 1 7 49 71 497 3479 290402737 2032819159 14229734113 20618594327 144330160289 1010311122023