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1031023033129 is a prime number
BaseRepresentation
bin11110000000011011100…
…00101111101100101001
310122120020202201210111001
433000031300233230221
5113343013344030004
62105351225435001
7134326466116525
oct17001560575451
93576222653431
101031023033129
11368288694951
1214799b63ba61
13762c05a398b
1437c8a6b6d85
151bc450c11a4
hexf00dc2fb29

1031023033129 has 2 divisors, whose sum is σ = 1031023033130. Its totient is φ = 1031023033128.

The previous prime is 1031023033111. The next prime is 1031023033147. The reversal of 1031023033129 is 9213303201301.

1031023033129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (1031023033111) and next prime (1031023033147).

It can be written as a sum of positive squares in only one way, i.e., 915849000000 + 115174033129 = 957000^2 + 339373^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031023033129 - 233 = 1022433098537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1031023033097 and 1031023033106.

It is not a weakly prime, because it can be changed into another prime (1031023036129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515511516564 + 515511516565.

It is an arithmetic number, because the mean of its divisors is an integer number (515511516565).

Almost surely, 21031023033129 is an apocalyptic number.

It is an amenable number.

1031023033129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031023033129 is an equidigital number, since it uses as much as digits as its factorization.

1031023033129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 1031023033129 in words is "one trillion, thirty-one billion, twenty-three million, thirty-three thousand, one hundred twenty-nine".