Search a number
-
+
1002120211002 = 231727427358213
BaseRepresentation
bin11101001010100110000…
…01001110101000111010
310112210122110222022012110
432211103001032220322
5112404320233223002
62044211225553150
7132254321151141
oct16452301165072
93483573868173
101002120211002
11356aa6808899
121422740457b6
1373665611b71
1436707c74758
151b102971e6c
hexe95304ea3a

1002120211002 has 32 divisors (see below), whose sum is σ = 2122220215872. Its totient is φ = 314378313984.

The previous prime is 1002120210991. The next prime is 1002120211003. The reversal of 1002120211002 is 2001120212001.

It is not an unprimeable number, because it can be changed into a prime (1002120211003) 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 15 ways as a sum of consecutive naturals, for example, 2618448 + ... + 2976660.

It is an arithmetic number, because the mean of its divisors is an integer number (66319381746).

Almost surely, 21002120211002 is an apocalyptic number.

1002120211002 is an abundant number, since it is smaller than the sum of its proper divisors (1120100004870).

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

1002120211002 is a wasteful number, since it uses less digits than its factorization.

1002120211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385662.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002120211002 its reverse (2001120212001), we get a palindrome (3003240423003).

Subtracting 1002120211002 from its reverse (2001120212001), we obtain a palindrome (999000000999).

The spelling of 1002120211002 in words is "one trillion, two billion, one hundred twenty million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 17 34 51 102 27427 54854 82281 164562 358213 466259 716426 932518 1074639 1398777 2149278 2797554 6089621 12179242 18268863 36537726 9824707951 19649415902 29474123853 58948247706 167020035167 334040070334 501060105501 1002120211002