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300100101331221 = 3329213216193303
BaseRepresentation
bin100010000111100000111111…
…1111011111101100100010101
31110100120021211001021002102000
41010033001333323331210111
5303313320001420044341
62542132025555105513
7120132342161653632
oct10417017773754425
91410507731232360
10300100101331221
1187691813676234
12297a94b08a2299
13cb5b419c02c59
145416ccb113189
1524a645b9128b6
hex110f07fefd915

300100101331221 has 24 divisors (see below), whose sum is σ = 460452174711360. Its totient is φ = 193167881302032.

The previous prime is 300100101331153. The next prime is 300100101331229. The reversal of 300100101331221 is 122133101001003.

300100101331221 is a `hidden beast` number, since 3 + 0 + 0 + 10 + 0 + 101 + 331 + 221 = 666.

It is not a de Polignac number, because 300100101331221 - 223 = 300100092942613 is a prime.

It is a super-2 number, since 2×3001001013312212 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300100101331194 and 300100101331203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300100101331229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6608073945 + ... + 6608119358.

It is an arithmetic number, because the mean of its divisors is an integer number (19185507279640).

Almost surely, 2300100101331221 is an apocalyptic number.

It is an amenable number.

300100101331221 is a deficient number, since it is larger than the sum of its proper divisors (160352073380139).

300100101331221 is a wasteful number, since it uses less digits than its factorization.

300100101331221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13216193370 (or 13216193335 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 300100101331221 its reverse (122133101001003), we get a palindrome (422233202332224).

The spelling of 300100101331221 in words is "three hundred trillion, one hundred billion, one hundred one million, three hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 27 29 87 261 783 841 2523 7569 22707 13216193303 39648579909 118945739727 356837219181 383269605787 1149808817361 3449426452083 10348279356249 11114818567823 33344455703469 100033367110407 300100101331221