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1022010003001 = 13372124760921
BaseRepresentation
bin11101101111101001000…
…10110000111000111001
310121200222122010102111101
432313310202300320321
5113221034030044001
62101301021131401
7133560234456001
oct16676442607071
93550878112441
101022010003001
11364483003a19
121460a50b9b61
13754b5210860
143767366d001
151b8b8bbda01
hexedf48b0e39

1022010003001 has 8 divisors (see below), whose sum is σ = 1130372810504. Its totient is φ = 917896717440.

The previous prime is 1022010002987. The next prime is 1022010003011. The reversal of 1022010003001 is 1003000102201.

It can be written as a sum of positive squares in 4 ways, for example, as 441129758976 + 580880244025 = 664176^2 + 762155^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1022010003001 - 211 = 1022010000953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022010003011) 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, 1062379980 + ... + 1062380941.

It is an arithmetic number, because the mean of its divisors is an integer number (141296601313).

Almost surely, 21022010003001 is an apocalyptic number.

It is an amenable number.

1022010003001 is a deficient number, since it is larger than the sum of its proper divisors (108362807503).

1022010003001 is a wasteful number, since it uses less digits than its factorization.

1022010003001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124760971.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 1022010003001 its reverse (1003000102201), we get a palindrome (2025010105202).

The spelling of 1022010003001 in words is "one trillion, twenty-two billion, ten million, three thousand, one".

Divisors: 1 13 37 481 2124760921 27621891973 78616154077 1022010003001