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1020002010002 = 273101137504901
BaseRepresentation
bin11101101011111001101…
…10111000001110010010
310121111210200201210221022
432311330312320032102
5113202431003310002
62100325450555442
7133456413014003
oct16657466701622
93544720653838
101020002010002
113636425a8078
12145824738b82
13752551c8311
1437522ad31aa
151b7ec77cba2
hexed7cdb8392

1020002010002 has 32 divisors (see below), whose sum is σ = 1577754122544. Its totient is φ = 494398080000.

The previous prime is 1020002009993. The next prime is 1020002010037. The reversal of 1020002010002 is 2000102000201.

It can be written as a sum of positive squares in 8 ways, for example, as 903980706841 + 116021303161 = 950779^2 + 340619^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1767752 + ... + 2272652.

Almost surely, 21020002010002 is an apocalyptic number.

1020002010002 is a deficient number, since it is larger than the sum of its proper divisors (557752112542).

1020002010002 is a wasteful number, since it uses less digits than its factorization.

1020002010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505214.

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 1020002010002 its reverse (2000102000201), we get a palindrome (3020104010203).

The spelling of 1020002010002 in words is "one trillion, twenty billion, two million, ten thousand, two".

Divisors: 1 2 73 101 137 146 202 274 7373 10001 13837 14746 20002 27674 504901 1009802 1010101 2020202 36857773 50995001 69171437 73715546 101990002 138342874 3722635073 5049514901 6986315137 7445270146 10099029802 13972630274 510001005001 1020002010002