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10010400012010 = 251758884705953
BaseRepresentation
bin1001000110101011101001…
…0101100011011011101010
31022102222120222200121021101
42101222322111203123222
52303002244400341020
633142414141232014
72052141021111106
oct221527225433352
938388528617241
1010010400012010
11320a428921a72
1211580ba86260a
13577c9098c898
1426871245a906
151255d7eb800a
hex91aba5636ea

10010400012010 has 16 divisors (see below), whose sum is σ = 19078644729096. Its totient is φ = 3768621180928.

The previous prime is 10010400012007. The next prime is 10010400012143. The reversal of 10010400012010 is 1021000401001.

It can be written as a sum of positive squares in 4 ways, for example, as 7722401924241 + 2287998087769 = 2778921^2 + 1512613^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 7 ways as a sum of consecutive naturals, for example, 29442352807 + ... + 29442353146.

Almost surely, 210010400012010 is an apocalyptic number.

10010400012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010400012010 is a deficient number, since it is larger than the sum of its proper divisors (9068244717086).

10010400012010 is a wasteful number, since it uses less digits than its factorization.

10010400012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58884705977.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10010400012010 its reverse (1021000401001), we get a palindrome (11031400413011).

The spelling of 10010400012010 in words is "ten trillion, ten billion, four hundred million, twelve thousand, ten".

Divisors: 1 2 5 10 17 34 85 170 58884705953 117769411906 294423529765 588847059530 1001040001201 2002080002402 5005200006005 10010400012010