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30331321213104 = 2433379883192007
BaseRepresentation
bin1101110010110000011111…
…01000000110000010110000
310222101122102221000021021000
412321120033220012002300
512433422021212304404
6144302003330402000
76250236262261632
oct671301750060260
9128348387007230
1030331321213104
1197344940a833a
12349a4b6130300
1313c0301287542
1476c0881baa52
15378ec2092339
hex1b960fa060b0

30331321213104 has 160 divisors (see below), whose sum is σ = 89424669232640. Its totient is φ = 9836138665728.

The previous prime is 30331321213099. The next prime is 30331321213147. The reversal of 30331321213104 is 40131212313303.

30331321213104 is a `hidden beast` number, since 3 + 0 + 3 + 3 + 1 + 321 + 21 + 310 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 157873869 + ... + 158065875.

It is an arithmetic number, because the mean of its divisors is an integer number (558904182704).

Almost surely, 230331321213104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30331321213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44712334616320).

30331321213104 is an abundant number, since it is smaller than the sum of its proper divisors (59093348019536).

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

30331321213104 is a wasteful number, since it uses less digits than its factorization.

30331321213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201944 (or 201932 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 30331321213104 its reverse (40131212313303), we get a palindrome (70462533526407).

The spelling of 30331321213104 in words is "thirty trillion, three hundred thirty-one billion, three hundred twenty-one million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1332 1776 1998 2664 3996 5328 7992 9883 15984 19766 29649 39532 59298 79064 88947 118596 158128 177894 192007 237192 266841 355788 365671 384014 474384 533682 576021 711576 731342 768028 1067364 1097013 1152042 1423152 1462684 1536056 1728063 2134728 2194026 2304084 2925368 3072112 3291039 3456126 4269456 4388052 4608168 5184189 5850736 6582078 6912252 7104259 8776104 9216336 9873117 10368378 13164156 13824504 14208518 17552208 19746234 20736756 21312777 26328312 27649008 28417036 39492468 41473512 42625554 52656624 56834072 63938331 78984936 82947024 85251108 113668144 127876662 157969872 170502216 191814993 255753324 341004432 383629986 511506648 767259972 1023013296 1534519944 1897605181 3069039888 3795210362 5692815543 7590420724 11385631086 15180841448 17078446629 22771262172 30361682896 34156893258 45542524344 51235339887 68313786516 70211391697 91085048688 102470679774 136627573032 140422783394 204941359548 210634175091 273255146064 280845566788 409882719096 421268350182 561691133576 631902525273 819765438192 842536700364 1123382267152 1263805050546 1685073400728 1895707575819 2527610101092 3370146801456 3791415151638 5055220202184 7582830303276 10110440404368 15165660606552 30331321213104