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10140110201 = 134170926833
BaseRepresentation
bin10010111000110010…
…11100110101111001
3222011200101222012002
421130121130311321
5131231332011301
64354105430345
7506165341334
oct113431346571
928150358162
1010140110201
114333911971
121b6ba9b3b5
13c57a35a10
146c29d561b
153e533716b
hex25c65cd79

10140110201 has 16 divisors (see below), whose sum is σ = 11202658320. Its totient is φ = 9118586880.

The previous prime is 10140110177. The next prime is 10140110237. The reversal of 10140110201 is 10201104101.

It can be written as a sum of positive squares in 8 ways, for example, as 6458533225 + 3681576976 = 80365^2 + 60676^2 .

It is a de Polignac number, because none of the positive numbers 2k-10140110201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10140110291) 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, 364481 + ... + 391313.

It is an arithmetic number, because the mean of its divisors is an integer number (700166145).

Almost surely, 210140110201 is an apocalyptic number.

It is an amenable number.

10140110201 is a deficient number, since it is larger than the sum of its proper divisors (1062548119).

10140110201 is a wasteful number, since it uses less digits than its factorization.

10140110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27596.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10140110201 its reverse (10201104101), we get a palindrome (20341214302).

The spelling of 10140110201 in words is "ten billion, one hundred forty million, one hundred ten thousand, two hundred one".

Divisors: 1 13 41 533 709 9217 26833 29069 348829 377897 1100153 14301989 19024597 247319761 780008477 10140110201