Search a number
-
+
130102122120131 = 7269413916693163
BaseRepresentation
bin11101100101001111000010…
…110001100000001111000011
3122001122122022120210111120102
4131211033002301200033003
5114023043121230321011
61140412031221233015
736255365604333230
oct3545170261401703
9561578276714512
10130102122120131
11385000001aa617
12127127b556276b
135779767928bc5
14241ad94dc6787
1510093c4c6973b
hex7653c2c603c3

130102122120131 has 16 divisors (see below), whose sum is σ = 149276949753600. Its totient is φ = 111074697404448.

The previous prime is 130102122120121. The next prime is 130102122120133. The reversal of 130102122120131 is 131021221201031.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130102122120131 is a prime.

It is a super-2 number, since 2×1301021221201312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130102122120133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552845 + ... + 16140318.

It is an arithmetic number, because the mean of its divisors is an integer number (9329809359600).

Almost surely, 2130102122120131 is an apocalyptic number.

130102122120131 is a deficient number, since it is larger than the sum of its proper divisors (19174827633469).

130102122120131 is a wasteful number, since it uses less digits than its factorization.

130102122120131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16697578.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 130102122120131 its reverse (131021221201031), we get a palindrome (261123343321162).

The spelling of 130102122120131 in words is "one hundred thirty trillion, one hundred two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred thirty-one".

Divisors: 1 7 269 1883 4139 28973 1113391 7793737 16693163 116852141 4490460847 31433225929 69093001657 483651011599 18586017445733 130102122120131