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1200101013 = 32133344557
BaseRepresentation
bin100011110001000…
…0001011010010101
310002122012110002200
41013202001122111
54424211213023
6315030155113
741511455526
oct10742013225
93078173080
101200101013
11566475721
12295ab2a99
1316182b457
14b555884d
157055a743
hex47881695

1200101013 has 6 divisors (see below), whose sum is σ = 1733479254. Its totient is φ = 800067336.

The previous prime is 1200101011. The next prime is 1200101027. The reversal of 1200101013 is 3101010021.

It can be written as a sum of positive squares in only one way, i.e., 1157564529 + 42536484 = 34023^2 + 6522^2 .

It is not a de Polignac number, because 1200101013 - 21 = 1200101011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 133344557 = 1200101013 / (1 + 2 + 0 + 0 + 1 + 0 + 1 + 0 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 1200100986 and 1200101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66672270 + ... + 66672287.

It is an arithmetic number, because the mean of its divisors is an integer number (288913209).

Almost surely, 21200101013 is an apocalyptic number.

It is an amenable number.

1200101013 is a deficient number, since it is larger than the sum of its proper divisors (533378241).

1200101013 is a wasteful number, since it uses less digits than its factorization.

1200101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133344563 (or 133344560 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1200101013 is about 34642.4741177647. The cubic root of 1200101013 is about 1062.6883856599.

Adding to 1200101013 its reverse (3101010021), we get a palindrome (4301111034).

The spelling of 1200101013 in words is "one billion, two hundred million, one hundred one thousand, thirteen".

Divisors: 1 3 9 133344557 400033671 1200101013