Search a number
-
+
102220130001 = 31129472272619
BaseRepresentation
bin101111100110011001…
…0110110011011010001
3100202211220012122001210
41133030302312123101
53133321323130001
6114543112050333
710246052524503
oct1371462663321
9322756178053
10102220130001
113a395664690
12179893939a9
13984076b732
144d39c5bd73
1529d40d0dd6
hex17cccb66d1

102220130001 has 32 divisors (see below), whose sum is σ = 157083494400. Its totient is φ = 58542639680.

The previous prime is 102220129993. The next prime is 102220130027. The reversal of 102220130001 is 100031022201.

It is a cyclic number.

It is not a de Polignac number, because 102220130001 - 23 = 102220129993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102220130101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1091331 + ... + 1181288.

It is an arithmetic number, because the mean of its divisors is an integer number (4908859200).

Almost surely, 2102220130001 is an apocalyptic number.

102220130001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102220130001 is a deficient number, since it is larger than the sum of its proper divisors (54863364399).

102220130001 is a wasteful number, since it uses less digits than its factorization.

102220130001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272709.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102220130001 its reverse (100031022201), we get a palindrome (202251152202).

It can be divided in two parts, 102220 and 130001, that added together give a triangular number (232221 = T681).

The spelling of 102220130001 in words is "one hundred two billion, two hundred twenty million, one hundred thirty thousand, one".

Divisors: 1 3 11 29 33 47 87 141 319 517 957 1363 1551 4089 14993 44979 2272619 6817857 24998809 65905951 74996427 106813093 197717853 320439279 724965461 1174944023 2174896383 3097579697 3524832069 9292739091 34073376667 102220130001