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10011102010 = 257132846247
BaseRepresentation
bin10010101001011010…
…10100101100111010
3221211200122200012221
421110231110230322
5131000320231020
64333220354254
7503040651220
oct112455245472
927750580187
1010011102010
114278008128
121b3484598a
13c370a6800
146ad812b10
153d8d526aa
hex254b54b3a

10011102010 has 48 divisors (see below), whose sum is σ = 22300327296. Its totient is φ = 3168345024.

The previous prime is 10011101987. The next prime is 10011102019. The reversal of 10011102010 is 1020111001.

10011102010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 10011101984 and 10011102002.

It is not an unprimeable number, because it can be changed into a prime (10011102019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411294 + ... + 434953.

It is an arithmetic number, because the mean of its divisors is an integer number (464590152).

Almost surely, 210011102010 is an apocalyptic number.

10011102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011102010 is an abundant number, since it is smaller than the sum of its proper divisors (12289225286).

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

10011102010 is a wasteful number, since it uses less digits than its factorization.

10011102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846287 (or 846274 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10011102010 its reverse (1020111001), we get a palindrome (11031213011).

It can be divided in two parts, 1001 and 1102010, that added together give a palindrome (1103011).

The spelling of 10011102010 in words is "ten billion, eleven million, one hundred two thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 169 182 338 455 845 910 1183 1690 2366 5915 11830 846247 1692494 4231235 5923729 8462470 11001211 11847458 22002422 29618645 55006055 59237290 77008477 110012110 143015743 154016954 286031486 385042385 715078715 770084770 1001110201 1430157430 2002220402 5005551005 10011102010