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30111302100 = 223521111380749
BaseRepresentation
bin11100000010110001…
…100000000111010100
32212201111201122011010
4130002301200013110
5443131443131400
621455525412220
72114120562525
oct340261400724
985644648133
1030111302100
1111852054a40
125a0426a070
132abb465029
14165913c84c
15bb37b2450
hex702c601d4

30111302100 has 144 divisors (see below), whose sum is σ = 95884488000. Its totient is φ = 7235020800.

The previous prime is 30111302099. The next prime is 30111302107. The reversal of 30111302100 is 120311103.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30111302107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332526 + ... + 413274.

It is an arithmetic number, because the mean of its divisors is an integer number (665864500).

Almost surely, 230111302100 is an apocalyptic number.

30111302100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30111302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47942244000).

30111302100 is an abundant number, since it is smaller than the sum of its proper divisors (65773185900).

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

30111302100 is a wasteful number, since it uses less digits than its factorization.

30111302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80890 (or 80883 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 30111302100 its reverse (120311103), we get a palindrome (30231613203).

The spelling of 30111302100 in words is "thirty billion, one hundred eleven million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 113 132 150 165 220 226 275 300 330 339 452 550 565 660 678 825 1100 1130 1243 1356 1650 1695 2260 2486 2825 3300 3390 3729 4972 5650 6215 6780 7458 8475 11300 12430 14916 16950 18645 24860 31075 33900 37290 62150 74580 80749 93225 124300 161498 186450 242247 322996 372900 403745 484494 807490 888239 968988 1211235 1614980 1776478 2018725 2422470 2664717 3552956 4037450 4441195 4844940 5329434 6056175 8074900 8882390 9124637 10658868 12112350 13323585 17764780 18249274 22205975 24224700 26647170 27373911 36498548 44411950 45623185 53294340 54747822 66617925 88823900 91246370 100371007 109495644 133235850 136869555 182492740 200742014 228115925 266471700 273739110 301113021 401484028 456231850 501855035 547478220 602226042 684347775 912463700 1003710070 1204452084 1368695550 1505565105 2007420140 2509275175 2737391100 3011130210 5018550350 6022260420 7527825525 10037100700 15055651050 30111302100