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1000031302121 = 17101582429413
BaseRepresentation
bin11101000110101101000…
…00101011000111101001
310112121020220022201220212
432203112200223013221
5112341031003131441
62043224045230505
7132151464546605
oct16432640530751
93477226281825
101000031302121
11356124665715
12141990562435
13733c19083c7
143658a674505
151b02e39aeeb
hexe8d682b1e9

1000031302121 has 8 divisors (see below), whose sum is σ = 1069340404104. Its totient is φ = 931887059200.

The previous prime is 1000031302097. The next prime is 1000031302157. The reversal of 1000031302121 is 1212031300001.

1000031302121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 216034392025 + 783996910096 = 464795^2 + 885436^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000031302121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000031302096 and 1000031302105.

It is not an unprimeable number, because it can be changed into a prime (1000031302181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291212990 + ... + 291216423.

It is an arithmetic number, because the mean of its divisors is an integer number (133667550513).

Almost surely, 21000031302121 is an apocalyptic number.

It is an amenable number.

1000031302121 is a deficient number, since it is larger than the sum of its proper divisors (69309101983).

1000031302121 is a wasteful number, since it uses less digits than its factorization.

1000031302121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582429531.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1000031302121 its reverse (1212031300001), we get a palindrome (2212062602122).

The spelling of 1000031302121 in words is "one trillion, thirty-one million, three hundred two thousand, one hundred twenty-one".

Divisors: 1 17 101 1717 582429413 9901300021 58825370713 1000031302121