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1010114134201 = 2921201086961
BaseRepresentation
bin11101011001011110111…
…11101000000010111001
310120120021120221200022001
432230233133220002321
5113022203204243301
62052012351301001
7132656366321524
oct16545737500271
93516246850261
101010114134201
1135a429105697
1214392521a761
137433a808033
1436c657d9bbb
151b41e66bc01
hexeb2f7e80b9

1010114134201 has 6 divisors (see below), whose sum is σ = 1046146743902. Its totient is φ = 975282611520.

The previous prime is 1010114134151. The next prime is 1010114134217. The reversal of 1010114134201 is 1024314110101.

It can be written as a sum of positive squares in 3 ways, for example, as 313657122601 + 696457011600 = 560051^2 + 834540^2 .

It is not a de Polignac number, because 1010114134201 - 231 = 1007966650553 is a prime.

It is a super-2 number, since 2×10101141342012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010114134231) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 600542640 + ... + 600544321.

Almost surely, 21010114134201 is an apocalyptic number.

It is an amenable number.

1010114134201 is a deficient number, since it is larger than the sum of its proper divisors (36032609701).

1010114134201 is an equidigital number, since it uses as much as digits as its factorization.

1010114134201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201087019 (or 1201086990 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 1010114134201 its reverse (1024314110101), we get a palindrome (2034428244302).

The spelling of 1010114134201 in words is "one trillion, ten billion, one hundred fourteen million, one hundred thirty-four thousand, two hundred one".

Divisors: 1 29 841 1201086961 34831521869 1010114134201