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1332300001221 = 3274110143911633
BaseRepresentation
bin10011011000110011010…
…001001010111111000101
311201100220021111112010200
4103120303101022333011
5133312022300014341
62500014500441113
7165153431105220
oct23306321127705
94640807445120
101332300001221
11474030688182
121962606a9199
1398834b350b7
14486ab2625b7
15249c9920db6
hex1363344afc5

1332300001221 has 96 divisors (see below), whose sum is σ = 2280680962560. Its totient is φ = 733653504000.

The previous prime is 1332300001211. The next prime is 1332300001229. The reversal of 1332300001221 is 1221000032331.

1332300001221 is a `hidden beast` number, since 1 + 332 + 300 + 0 + 0 + 12 + 21 = 666.

It is not a de Polignac number, because 1332300001221 - 25 = 1332300001189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1332300001194 and 1332300001203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332300001229) 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, 114521821 + ... + 114533453.

It is an arithmetic number, because the mean of its divisors is an integer number (23757093360).

Almost surely, 21332300001221 is an apocalyptic number.

It is an amenable number.

1332300001221 is a deficient number, since it is larger than the sum of its proper divisors (948380961339).

1332300001221 is a wasteful number, since it uses less digits than its factorization.

1332300001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12227 (or 12224 counting only the distinct ones).

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

Adding to 1332300001221 its reverse (1221000032331), we get a palindrome (2553300033552).

The spelling of 1332300001221 in words is "one trillion, three hundred thirty-two billion, three hundred million, one thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 41 63 101 123 287 303 369 439 707 861 909 1317 2121 2583 3073 3951 4141 6363 9219 11633 12423 17999 27657 28987 34899 37269 44339 53997 81431 86961 104697 125993 133017 161991 244293 260883 310373 377979 399051 476953 732879 931119 1133937 1174933 1430859 1817899 2793357 3338671 3524799 4292577 5106887 5453697 8224531 10016013 10574397 12725293 15320661 16361091 24673593 30048039 35748209 38175879 45961983 48172253 74020779 107244627 114527637 144516759 209382367 321733881 337205771 433550277 515795587 628147101 1011617313 1465676569 1547386761 1884441303 3034851939 3610569109 4397029707 4642160283 10831707327 13191089121 21147619067 32495121981 63442857201 148033333469 190328571603 444100000407 1332300001221