Search a number
-
+
10111202202002 = 211241781827281
BaseRepresentation
bin1001001100100011001010…
…0111011001000110010010
31022210121210001210102022112
42103020302213121012102
52311130220230431002
633301004442105322
72062340005433666
oct223106247310622
938717701712275
1010111202202002
113249156054300
1211737511ab242
1358463673ac55
1426d555c568a6
1512803785d852
hex932329d9192

10111202202002 has 12 divisors (see below), whose sum is σ = 16670949085518. Its totient is φ = 4596001000800.

The previous prime is 10111202202001. The next prime is 10111202202029. The reversal of 10111202202002 is 20020220211101.

It can be written as a sum of positive squares in only one way, i.e., 7050623400601 + 3060578801401 = 2655301^2 + 1749451^2 .

It is a super-3 number, since 3×101112022020023 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10111202202001) 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, 20890913399 + ... + 20890913882.

Almost surely, 210111202202002 is an apocalyptic number.

10111202202002 is a deficient number, since it is larger than the sum of its proper divisors (6559746883516).

10111202202002 is a wasteful number, since it uses less digits than its factorization.

10111202202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41781827305 (or 41781827294 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10111202202002 its reverse (20020220211101), we get a palindrome (30131422413103).

The spelling of 10111202202002 in words is "ten trillion, one hundred eleven billion, two hundred two million, two hundred two thousand, two".

Divisors: 1 2 11 22 121 242 41781827281 83563654562 459600100091 919200200182 5055601101001 10111202202002