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10201412105 = 517290941257
BaseRepresentation
bin10011000000000110…
…10011001000001001
3222022221202102120222
421200003103020021
5131343030141410
64404135355425
7510541400153
oct114003231011
928287672528
1010201412105
1143654819a5
121b88522b75
13c6764a431
146cabd1ad3
153ea8e5955
hex2600d3209

10201412105 has 16 divisors (see below), whose sum is σ = 12966564240. Its totient is φ = 7678236672.

The previous prime is 10201412101. The next prime is 10201412107. The reversal of 10201412105 is 50121410201.

It can be written as a sum of positive squares in 8 ways, for example, as 339333241 + 9862078864 = 18421^2 + 99308^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201412105 - 22 = 10201412101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (10201412101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226637 + ... + 267893.

It is an arithmetic number, because the mean of its divisors is an integer number (810410265).

Almost surely, 210201412105 is an apocalyptic number.

It is an amenable number.

10201412105 is a deficient number, since it is larger than the sum of its proper divisors (2765152135).

10201412105 is a wasteful number, since it uses less digits than its factorization.

10201412105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44188.

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 10201412105 its reverse (50121410201), we get a palindrome (60322822306).

The spelling of 10201412105 in words is "ten billion, two hundred one million, four hundred twelve thousand, one hundred five".

Divisors: 1 5 17 85 2909 14545 41257 49453 206285 247265 701369 3506845 120016613 600083065 2040282421 10201412105