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1022010220001 = 1925696737393
BaseRepresentation
bin11101101111101001000…
…11100101110111100001
310121200222122112110011102
432313310203211313201
5113221034104020001
62101301025524145
7133560236351441
oct16676443456741
93550878473142
101022010220001
11364483141a61
121460a51a3655
13754b5288564
14376736c8121
151b8b8c12e6b
hexedf48e5de1

1022010220001 has 24 divisors (see below), whose sum is σ = 1082278856520. Its totient is φ = 964951916544.

The previous prime is 1022010219983. The next prime is 1022010220031. The reversal of 1022010220001 is 1000220102201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4284357025 + 1017725862976 = 65455^2 + 1008824^2 .

It is a de Polignac number, because none of the positive numbers 2k-1022010220001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1022010220031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138236561 + ... + 138243953.

It is an arithmetic number, because the mean of its divisors is an integer number (45094952355).

Almost surely, 21022010220001 is an apocalyptic number.

It is an amenable number.

1022010220001 is a deficient number, since it is larger than the sum of its proper divisors (60268636519).

1022010220001 is an equidigital number, since it uses as much as digits as its factorization.

1022010220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8673 (or 8654 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1022010220001 its reverse (1000220102201), we get a palindrome (2022230322202).

The spelling of 1022010220001 in words is "one trillion, twenty-two billion, ten million, two hundred twenty thousand, one".

Divisors: 1 19 361 569 673 7393 10811 12787 140467 205409 242953 382937 2668873 4206617 4975489 7275803 79925723 94534291 138240257 1518588737 1796151529 2831053241 53790011579 1022010220001