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32002300031121 = 367105113214517
BaseRepresentation
bin1110100011011000111011…
…01110011011000010010001
311012022101112022110022000000
413101230131232123002101
513143311202301443441
6152021353105520213
76512042554005330
oct721543556330221
9135271468408000
1032002300031121
11a219110084302
12370a315643069
1314b1a5b359984
147c8cc34b5d17
153a76beb822b6
hex1d1b1db9b091

32002300031121 has 112 divisors (see below), whose sum is σ = 54941886891648. Its totient is φ = 18251757216000.

The previous prime is 32002300031083. The next prime is 32002300031123. The reversal of 32002300031121 is 12113000320023.

32002300031121 is a `hidden beast` number, since 32 + 0 + 0 + 2 + 300 + 0 + 311 + 21 = 666.

It is not a de Polignac number, because 32002300031121 - 27 = 32002300030993 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32002300031094 and 32002300031103.

It is not an unprimeable number, because it can be changed into a prime (32002300031123) 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 111 ways as a sum of consecutive naturals, for example, 7084854955 + ... + 7084859471.

Almost surely, 232002300031121 is an apocalyptic number.

It is an amenable number.

32002300031121 is a deficient number, since it is larger than the sum of its proper divisors (22939586860527).

32002300031121 is a wasteful number, since it uses less digits than its factorization.

32002300031121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6914 (or 6899 counting only the distinct ones).

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

Adding to 32002300031121 its reverse (12113000320023), we get a palindrome (44115300351144).

The spelling of 32002300031121 in words is "thirty-two trillion, two billion, three hundred million, thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 729 1051 1321 1701 3153 3963 4517 5103 7357 9247 9459 11889 13551 22071 27741 28377 31619 35667 40653 66213 83223 85131 94857 107001 121959 198639 249669 255393 284571 321003 365877 595917 749007 766179 853713 963009 1097631 1388371 1787751 2247021 2561139 3292893 4165113 4747367 5363253 5966957 6741063 7683417 9718597 12495339 14242101 17900871 23050251 29155791 33231569 37486017 41768699 42726303 53702613 87467373 99694707 112458051 125306097 128178909 161107839 262402119 299084121 337374153 375918291 384536727 483323517 787206357 897252363 1012122459 1127754873 1153610181 1449970551 2361619071 2691757089 3383264619 3460830543 4349911653 6271271807 7084857213 8075271267 10149793857 18813815421 24225813801 30449381571 43898902649 56441446263 131696707947 169324338789 395090123841 507973016367 1185270371523 1523919049101 3555811114569 4571757147303 10667433343707 32002300031121