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1022003032122 = 23256777946229
BaseRepresentation
bin11101101111101000010…
…00001011000000111010
310121200222011000021020200
432313310020023000322
5113221030234011442
62101300211503030
7133560121303512
oct16676410130072
93550864007220
101022003032122
1136447a082666
121460a28b7a76
13754b393c987
1437672776842
151b8b829334c
hexedf420b03a

1022003032122 has 12 divisors (see below), whose sum is σ = 2214339902970. Its totient is φ = 340667677368.

The previous prime is 1022003032103. The next prime is 1022003032129. The reversal of 1022003032122 is 2212303002201.

It can be written as a sum of positive squares in only one way, i.e., 1005790357881 + 16212674241 = 1002891^2 + 127329^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 56777946229 = 1022003032122 / (1 + 0 + 2 + 2 + 0 + 0 + 3 + 0 + 3 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 1022003032095 and 1022003032104.

It is not an unprimeable number, because it can be changed into a prime (1022003032129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28388973097 + ... + 28388973132.

Almost surely, 21022003032122 is an apocalyptic number.

1022003032122 is an abundant number, since it is smaller than the sum of its proper divisors (1192336870848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1022003032122 is a wasteful number, since it uses less digits than its factorization.

1022003032122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56777946237 (or 56777946234 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1022003032122 its reverse (2212303002201), we get a palindrome (3234306034323).

The spelling of 1022003032122 in words is "one trillion, twenty-two billion, three million, thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 56777946229 113555892458 170333838687 340667677374 511001516061 1022003032122