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1014133432221 = 327138316638971
BaseRepresentation
bin11101100000111110001…
…00000001111110011101
310120221122200222011122200
432300133010001332131
5113103421124312341
62053515251002113
7133161112641540
oct16603704017635
93527580864580
101014133432221
1136110097a798
12144667299339
137482b4254a0
1437127534857
151b5a7454db6
hexec1f101f9d

1014133432221 has 96 divisors (see below), whose sum is σ = 1825926316032. Its totient is φ = 528105951360.

The previous prime is 1014133432211. The next prime is 1014133432307. The reversal of 1014133432221 is 1222343314101.

1014133432221 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 3 + 3 + 432 + 221 = 666.

It is not a de Polignac number, because 1014133432221 - 215 = 1014133399453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014133432211) 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, 113041266 + ... + 113050236.

It is an arithmetic number, because the mean of its divisors is an integer number (19020065792).

Almost surely, 21014133432221 is an apocalyptic number.

It is an amenable number.

1014133432221 is a deficient number, since it is larger than the sum of its proper divisors (811792883811).

1014133432221 is a wasteful number, since it uses less digits than its factorization.

1014133432221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10743 (or 10740 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1014133432221 its reverse (1222343314101), we get a palindrome (2236476746322).

The spelling of 1014133432221 in words is "one trillion, fourteen billion, one hundred thirty-three million, four hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 13 21 39 63 83 91 117 249 273 581 747 819 1079 1663 1743 3237 4989 5229 7553 8971 9711 11641 14967 21619 22659 26913 34923 62797 64857 67977 80739 104769 116623 138029 151333 188391 194571 349869 414087 453999 565173 744593 816361 966203 1049607 1242261 1361997 1794377 2233779 2449083 2898609 5212151 5383131 6701337 7347249 8695827 9679709 12560639 14918773 15636453 16149393 29039127 37681917 44756319 46909359 67757963 87117381 104431411 113045751 134268957 193944049 203273889 313294233 581832147 609821667 939882699 1238258159 1357608343 1745496441 3714774477 4072825029 8667807113 11144323431 12218475087 16097356067 26003421339 48292068201 78010264017 112681492469 144876204603 338044477407 1014133432221