Search a number
-
+
1020310201321 = 113131409168523
BaseRepresentation
bin11101101100011110011…
…10100010001111101001
310121112121011122112221121
432312033032202033221
5113204043402420241
62100420220335241
7133500144420655
oct16661716421751
93545534575847
101020310201321
11363790566844
121458ab9a4521
13752a4003648
14375519d9a65
151b819858ad1
hexed8f3a23e9

1020310201321 has 16 divisors (see below), whose sum is σ = 1039739152320. Its totient is φ = 1001101570560.

The previous prime is 1020310201213. The next prime is 1020310201333. The reversal of 1020310201321 is 1231020130201.

It is a cyclic number.

It is not a de Polignac number, because 1020310201321 - 29 = 1020310200809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020310201295 and 1020310201304.

It is not an unprimeable number, because it can be changed into a prime (1020310201381) 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 15 ways as a sum of consecutive naturals, for example, 5970166 + ... + 6138688.

It is an arithmetic number, because the mean of its divisors is an integer number (64983697020).

Almost surely, 21020310201321 is an apocalyptic number.

It is an amenable number.

1020310201321 is a deficient number, since it is larger than the sum of its proper divisors (19428950999).

1020310201321 is a wasteful number, since it uses less digits than its factorization.

1020310201321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169176.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1020310201321 its reverse (1231020130201), we get a palindrome (2251330331522).

The spelling of 1020310201321 in words is "one trillion, twenty billion, three hundred ten million, two hundred one thousand, three hundred twenty-one".

Divisors: 1 113 131 409 14803 46217 53579 168523 6054427 19043099 22076513 68925907 2494645969 7788627491 9029293817 1020310201321