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1000223130101 = 13132158243937
BaseRepresentation
bin11101000111000011111…
…00011100000111110101
310112121202021021121102212
432203201330130013311
5112341424110130401
62043255100543205
7132156314220056
oct16434174340765
93477667247385
101000223130101
11356212976938
12141a24851b05
1373422590ba0
14365a7d2a72d
151b04113ddbb
hexe8e1f1c1f5

1000223130101 has 8 divisors (see below), whose sum is σ = 1077978804504. Its totient is φ = 922583946240.

The previous prime is 1000223130061. The next prime is 1000223130119. The reversal of 1000223130101 is 1010313220001.

It can be written as a sum of positive squares in 4 ways, for example, as 44914324900 + 955308805201 = 211930^2 + 977399^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000223130101 - 218 = 1000222867957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000223133101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29104796 + ... + 29139141.

It is an arithmetic number, because the mean of its divisors is an integer number (134747350563).

Almost surely, 21000223130101 is an apocalyptic number.

It is an amenable number.

1000223130101 is a deficient number, since it is larger than the sum of its proper divisors (77755674403).

1000223130101 is a wasteful number, since it uses less digits than its factorization.

1000223130101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58245271.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1000223130101 its reverse (1010313220001), we get a palindrome (2010536350102).

The spelling of 1000223130101 in words is "one trillion, two hundred twenty-three million, one hundred thirty thousand, one hundred one".

Divisors: 1 13 1321 17173 58243937 757171181 76940240777 1000223130101