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130021101331 = 1153659338423
BaseRepresentation
bin111100100010111011…
…1001000111100010011
3110102121101122022012121
41321011313020330103
54112240400220311
6135421511235111
712252021061162
oct1710567107423
9412541568177
10130021101331
1150161581950
1221247978a97
13c351382324
1464161dd3d9
1535aeb30b71
hex1e45dc8f13

130021101331 has 16 divisors (see below), whose sum is σ = 144737176320. Its totient is φ = 115794471520.

The previous prime is 130021101313. The next prime is 130021101403. The reversal of 130021101331 is 133101120031.

It is a cyclic number.

It is not a de Polignac number, because 130021101331 - 215 = 130021068563 is a prime.

It is a super-3 number, since 3×1300211013313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (130021101031) 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, 214986 + ... + 553408.

It is an arithmetic number, because the mean of its divisors is an integer number (9046073520).

Almost surely, 2130021101331 is an apocalyptic number.

130021101331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130021101331 is a deficient number, since it is larger than the sum of its proper divisors (14716074989).

130021101331 is a wasteful number, since it uses less digits than its factorization.

130021101331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339146.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 130021101331 its reverse (133101120031), we get a palindrome (263122221362).

The spelling of 130021101331 in words is "one hundred thirty billion, twenty-one million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 11 53 583 659 7249 34927 338423 384197 3722653 17936419 197300609 223020757 2453228327 11820100121 130021101331