Search a number
-
+
332311234313401 = 7372891913316163
BaseRepresentation
bin100101110001111000011110…
…1000100110111110010111001
31121120121122101021202110211221
41023203300331010313302321
5322024041401441012101
63134433401251552041
7126665460113532220
oct11343607504676271
91546548337673757
10332311234313401
1196980448485592
1231330187bbb621
1311356a79541045
145c0bd41839cb7
1528642a01e9aa1
hex12e3c3d137cb9

332311234313401 has 96 divisors (see below), whose sum is σ = 398041666928640. Its totient is φ = 271723613990400.

The previous prime is 332311234313371. The next prime is 332311234313423. The reversal of 332311234313401 is 104313432113233.

It is not a de Polignac number, because 332311234313401 - 215 = 332311234280633 is a prime.

It is a super-2 number, since 2×3323112343134012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332311234343401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53920365946 + ... + 53920372108.

It is an arithmetic number, because the mean of its divisors is an integer number (4146267363840).

Almost surely, 2332311234313401 is an apocalyptic number.

It is an amenable number.

332311234313401 is a deficient number, since it is larger than the sum of its proper divisors (65730432615239).

332311234313401 is a wasteful number, since it uses less digits than its factorization.

332311234313401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6855 (or 6818 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

Adding to 332311234313401 its reverse (104313432113233), we get a palindrome (436624666426634).

The spelling of 332311234313401 in words is "three hundred thirty-two trillion, three hundred eleven billion, two hundred thirty-four million, three hundred thirteen thousand, four hundred one".

Divisors: 1 7 37 89 191 259 331 623 1337 1369 2317 3293 6163 7067 9583 12247 16999 23051 29459 43141 49469 63221 85729 118993 121841 206213 228031 261479 442547 453139 548507 628963 852887 1089983 1177133 1596217 1830353 2039953 2339177 3171973 3839549 4402741 5626669 7629881 8239931 8437147 14279671 16374239 20294759 23271631 39386683 40329371 43553921 59060029 75478261 86549549 104764837 142063313 162901417 181555817 208186753 282305597 304877447 389631023 528347827 605846843 733353859 750906083 1270890719 1457307271 1611495077 2727417161 2792695657 3876298969 5256342581 6717565229 7702909861 11280465539 14416347851 19548869599 27134092783 34677161047 47022956603 53920369027 100914434957 143423061853 242740127329 248549913473 533404870487 1003961432971 1283054958739 1739849394311 3733834093409 8981384711173 47473033473343 332311234313401