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30130121122110 = 2335672922156999
BaseRepresentation
bin1101101100111001101110…
…01010101010000100111110
310221200102002221112122102000
412312130313022222010332
512422122442001401420
6144025330410243130
76226554326600232
oct666346712520476
9127612087478360
1030130121122110
119667126978aa9
1234675047264a6
1313a7348441669
1476243c9845c2
15373b485b5690
hex1b67372aa13e

30130121122110 has 128 divisors (see below), whose sum is σ = 81550419840000. Its totient is φ = 7914368373120.

The previous prime is 30130121122039. The next prime is 30130121122111. The reversal of 30130121122110 is 1122112103103.

30130121122110 is a `hidden beast` number, since 301 + 30 + 12 + 112 + 211 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30130121122111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 528579391 + ... + 528636389.

It is an arithmetic number, because the mean of its divisors is an integer number (637112655000).

Almost surely, 230130121122110 is an apocalyptic number.

30130121122110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30130121122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40775209920000).

30130121122110 is an abundant number, since it is smaller than the sum of its proper divisors (51420298717890).

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

30130121122110 is a wasteful number, since it uses less digits than its factorization.

30130121122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86303 (or 86297 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 30130121122110 its reverse (1122112103103), we get a palindrome (31252233225213).

The spelling of 30130121122110 in words is "thirty trillion, one hundred thirty billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 90 134 135 201 270 335 402 603 670 1005 1206 1809 2010 3015 3618 6030 9045 18090 29221 56999 58442 87663 113998 146105 170997 175326 262989 284995 292210 341994 438315 512991 525978 569990 788967 854985 876630 1025982 1314945 1538973 1577934 1709970 1957807 2564955 2629890 3077946 3818933 3915614 3944835 5129910 5873421 7637866 7694865 7889670 9789035 11456799 11746842 15389730 17620263 19094665 19578070 22913598 29367105 34370397 35240526 38189330 52860789 57283995 58734210 68740794 88101315 103111191 105721578 114567990 171851985 176202630 206222382 264303945 343703970 515555955 528607890 1031111910 1665567779 3331135558 4996703337 8327838895 9993406674 14990110011 16655677790 24983516685 29980220022 44970330033 49967033370 74950550055 89940660066 111593041193 149901100110 223186082386 224851650165 334779123579 449703300330 557965205965 669558247158 1004337370737 1115930411930 1673895617895 2008674741474 3013012112211 3347791235790 5021686853685 6026024224422 10043373707370 15065060561055 30130121122110