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323202013130331 = 34313713751252983
BaseRepresentation
bin100100101111100110101010…
…1001011101110111001011011
31120101100210220000000200010000
41021133031111023232321123
5314330320210330132311
63103220542144224043
7125035401116162526
oct11137152513567133
91511323800020100
10323202013130331
1193a8922760a005
12302ba87030b023
1310b45a8562b59a
1459b50bd183bbd
15275735ceb6056
hex125f3552eee5b

323202013130331 has 80 divisors (see below), whose sum is σ = 511891436187648. Its totient is φ = 202866265800000.

The previous prime is 323202013130309. The next prime is 323202013130371. The reversal of 323202013130331 is 133031310202323.

323202013130331 is a `hidden beast` number, since 3 + 2 + 320 + 2 + 0 + 1 + 3 + 1 + 3 + 0 + 331 = 666.

It is not a de Polignac number, because 323202013130331 - 211 = 323202013128283 is a prime.

It is a super-2 number, since 2×3232020131303312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 323202013130295 and 323202013130304.

It is not an unprimeable number, because it can be changed into a prime (323202013130371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1277437666 + ... + 1277690648.

Almost surely, 2323202013130331 is an apocalyptic number.

323202013130331 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

323202013130331 is a deficient number, since it is larger than the sum of its proper divisors (188689423057317).

323202013130331 is a wasteful number, since it uses less digits than its factorization.

323202013130331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266814 (or 266805 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 323202013130331 its reverse (133031310202323), we get a palindrome (456233323332654).

The spelling of 323202013130331 in words is "three hundred twenty-three trillion, two hundred two billion, thirteen million, one hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 9 27 31 37 81 93 111 279 333 837 999 1147 2511 2997 3441 10323 13751 30969 41253 92907 123759 252983 371277 426281 508787 758949 1113831 1278843 1526361 2276847 3836529 4579083 6830541 7842473 9360371 11509587 13737249 15772397 20491623 23527419 28081113 34528761 41211747 47317191 70582257 84243339 141951573 211746771 252730017 290171501 425854719 635240313 758190051 870514503 1277564157 2611543509 3478769233 7834630527 10436307699 23503891581 31308923097 93926769291 107841846223 128714461621 281780307873 323525538669 386143384863 970576616007 1158430154589 2911729848021 3475290463767 3990148310251 8735189544063 10425871391301 11970444930753 35911334792259 107734004376777 323202013130331