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130100322231 = 33114110684103
BaseRepresentation
bin111100100101010010…
…1010101111110110111
3110102210220201010212000
41321022211111332313
54112421140302411
6135433421230343
712254002330665
oct1711245257667
9412726633760
10130100322231
11501a2270770
122126a4023b3
13c3648cbbb9
146422941c35
1535b6a7d956
hex1e4a955fb7

130100322231 has 32 divisors (see below), whose sum is σ = 215391536640. Its totient is φ = 76925534400.

The previous prime is 130100322217. The next prime is 130100322251. The reversal of 130100322231 is 132223001031.

130100322231 is a `hidden beast` number, since 13 + 0 + 100 + 322 + 231 = 666.

It is not a de Polignac number, because 130100322231 - 27 = 130100322103 is a prime.

It is a super-2 number, since 2×1301003222312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130100322251) 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 31 ways as a sum of consecutive naturals, for example, 5329875 + ... + 5354228.

It is an arithmetic number, because the mean of its divisors is an integer number (6730985520).

Almost surely, 2130100322231 is an apocalyptic number.

130100322231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130100322231 is a deficient number, since it is larger than the sum of its proper divisors (85291214409).

130100322231 is a wasteful number, since it uses less digits than its factorization.

130100322231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10684164 (or 10684158 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130100322231 its reverse (132223001031), we get a palindrome (262323323262).

The spelling of 130100322231 in words is "one hundred thirty billion, one hundred million, three hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 11 27 33 41 99 123 297 369 451 1107 1353 4059 12177 10684103 32052309 96156927 117525133 288470781 352575399 438048223 1057726197 1314144669 3173178591 3942434007 4818530453 11827302021 14455591359 43366774077 130100322231