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305520143112 = 233367101209021
BaseRepresentation
bin1000111001000100110…
…10110110101100001000
31002012121020001100112000
410130202122312230020
520001201124034422
6352204244551000
731034034240132
oct4344232665410
91065536040460
10305520143112
11108630179548
124b2660b2460
1322a6c675b92
1410b04320052
157e3210bcac
hex47226b6b08

305520143112 has 128 divisors (see below), whose sum is σ = 869865955200. Its totient is φ = 99326304000.

The previous prime is 305520143111. The next prime is 305520143141. The reversal of 305520143112 is 211341025503.

305520143112 is a `hidden beast` number, since 305 + 5 + 201 + 43 + 112 = 666.

It is a super-2 number, since 2×3055201431122 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (305520143111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1357162 + ... + 1566182.

It is an arithmetic number, because the mean of its divisors is an integer number (6795827775).

Almost surely, 2305520143112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305520143112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434932977600).

305520143112 is an abundant number, since it is smaller than the sum of its proper divisors (564345812088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

305520143112 is a wasteful number, since it uses less digits than its factorization.

305520143112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209204 (or 209194 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 305520143112 its reverse (211341025503), we get a palindrome (516861168615).

The spelling of 305520143112 in words is "three hundred five billion, five hundred twenty million, one hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 101 108 134 201 202 216 268 303 402 404 536 603 606 804 808 909 1206 1212 1608 1809 1818 2412 2424 2727 3618 3636 4824 5454 6767 7236 7272 10908 13534 14472 20301 21816 27068 40602 54136 60903 81204 121806 162408 182709 209021 243612 365418 418042 487224 627063 730836 836084 1254126 1461672 1672168 1881189 2508252 3762378 5016504 5643567 7524756 11287134 14004407 15049512 21111121 22574268 28008814 42013221 42222242 45148536 56017628 63333363 84026442 84444484 112035256 126039663 126666726 168052884 168888968 190000089 252079326 253333452 336105768 378118989 380000178 504158652 506666904 570000267 756237978 760000356 1008317304 1140000534 1414445107 1512475956 1520000712 2280001068 2828890214 3024951912 4243335321 4560002136 5657780428 8486670642 11315560856 12730005963 16973341284 25460011926 33946682568 38190017889 50920023852 76380035778 101840047704 152760071556 305520143112