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30327321061400 = 23521131444682127
BaseRepresentation
bin1101110010101001000010…
…01100101110100000011000
310222101021010011000111201012
412321110201030232200120
512433340323142431100
6144300102353313052
76250035200454026
oct671244114564030
9128337104014635
1030327321061400
119732821120140
12349977a565788
1313bcb14611a7c
1476bbc8c27716
15378d3acdc135
hex1b952132e818

30327321061400 has 96 divisors (see below), whose sum is σ = 79402440775680. Its totient is φ = 10672371024000.

The previous prime is 30327321061397. The next prime is 30327321061561. The reversal of 30327321061400 is 416012372303.

It is a super-3 number, since 3×303273210614003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222272864 + ... + 222409263.

It is an arithmetic number, because the mean of its divisors is an integer number (827108758080).

Almost surely, 230327321061400 is an apocalyptic number.

It is an amenable number.

30327321061400 is an abundant number, since it is smaller than the sum of its proper divisors (49075119714280).

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

30327321061400 is a wasteful number, since it uses less digits than its factorization.

30327321061400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444682185 (or 444682176 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 30327321061400 in words is "thirty trillion, three hundred twenty-seven billion, three hundred twenty-one million, sixty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 155 200 220 248 275 310 341 440 550 620 682 775 1100 1240 1364 1550 1705 2200 2728 3100 3410 6200 6820 8525 13640 17050 34100 68200 444682127 889364254 1778728508 2223410635 3557457016 4446821270 4891503397 8893642540 9783006794 11117053175 13785145937 17787285080 19566013588 22234106350 24457516985 27570291874 39132027176 44468212700 48915033970 55140583748 68925729685 88936425400 97830067940 110281167496 122287584925 137851459370 151636605307 195660135880 244575169850 275702918740 303273210614 344628648425 489150339700 551405837480 606546421228 689257296850 758183026535 978300679400 1213092842456 1378514593700 1516366053070 2757029187400 3032732106140 3790915132675 6065464212280 7581830265350 15163660530700 30327321061400