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30152444425103 = 711134110725726717
BaseRepresentation
bin1101101101100011010011…
…01111010011001110001111
310221202112201200202221012202
412312301221233103032033
512423004201233100403
6144043501452152115
76231304452542240
oct666615157231617
9127675650687182
1030152444425103
119675641894a40
12346b8b476863b
1313a94952600a0
14763559642cc7
153745032a7688
hex1b6c69bd338f

30152444425103 has 128 divisors (see below), whose sum is σ = 42023862429696. Its totient is φ = 20879002828800.

The previous prime is 30152444425093. The next prime is 30152444425127.

30152444425103 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 30152444425103 - 212 = 30152444421007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30152444425183) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1128573101 + ... + 1128599817.

It is an arithmetic number, because the mean of its divisors is an integer number (328311425232).

Almost surely, 230152444425103 is an apocalyptic number.

30152444425103 is a deficient number, since it is larger than the sum of its proper divisors (11871418004593).

30152444425103 is a wasteful number, since it uses less digits than its factorization.

30152444425103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27153.

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 30152444425103 in words is "thirty trillion, one hundred fifty-two billion, four hundred forty-four million, four hundred twenty-five thousand, one hundred three".

Divisors: 1 7 11 13 41 77 91 107 143 257 287 451 533 749 1001 1177 1391 1799 2827 3157 3341 3731 4387 5863 8239 9737 10537 15301 19789 23387 26717 27499 30709 36751 41041 48257 57031 73759 107107 115907 136981 187019 192493 257257 293887 302489 337799 347321 357487 399217 627341 811349 958867 1095397 1127459 1506791 2057209 2117423 2431247 2502409 2858719 3820531 3932357 4391387 6866269 7667779 7892213 10547537 12049367 12402049 14240161 14656967 20011033 26743717 27526499 31445909 37163347 48063883 75528959 84345569 86814343 89261497 99681127 102598769 117207479 156641771 161226637 220121363 260143429 281517029 408796817 528702713 624830479 734690783 820452353 981876467 1096492397 1128586459 1289282269 1523697227 1970619203 2861577719 3096687319 3659721377 5142835481 6873135269 8081598613 9024975883 9550980179 10665880589 16760669497 21676811233 25618049639 30122322103 40256935147 56571190291 66856861253 105060781969 117324686479 210856254721 281798546029 331345543133 391590187339 735425473783 2319418801931 2741131311373 4307492060729 30152444425103