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10030311120 = 2435317131839
BaseRepresentation
bin10010101011101101…
…00110011011010000
3221220000210121011110
421111312212123100
5131020224423440
64335144213320
7503363144364
oct112566463320
927800717143
1010030311120
114287938225
121b3b16a240
13c3b070c4b
146b21b32a4
153da899080
hex255da66d0

10030311120 has 80 divisors (see below), whose sum is σ = 31192289280. Its totient is φ = 2666291712.

The previous prime is 10030311119. The next prime is 10030311139. The reversal of 10030311120 is 2111303001.

10030311120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 10030311096 and 10030311105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10161 + ... + 141999.

It is an arithmetic number, because the mean of its divisors is an integer number (389903616).

Almost surely, 210030311120 is an apocalyptic number.

10030311120 is a gapful number since it is divisible by the number (10) 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 10030311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15596144640).

10030311120 is an abundant number, since it is smaller than the sum of its proper divisors (21161978160).

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

10030311120 is a wasteful number, since it uses less digits than its factorization.

10030311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132172 (or 132166 counting only the distinct ones).

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

Adding to 10030311120 its reverse (2111303001), we get a palindrome (12141614121).

The spelling of 10030311120 in words is "ten billion, thirty million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 317 634 951 1268 1585 1902 2536 3170 3804 4755 5072 6340 7608 9510 12680 15216 19020 25360 38040 76080 131839 263678 395517 527356 659195 791034 1054712 1318390 1582068 1977585 2109424 2636780 3164136 3955170 5273560 6328272 7910340 10547120 15820680 31641360 41792963 83585926 125378889 167171852 208964815 250757778 334343704 417929630 501515556 626894445 668687408 835859260 1003031112 1253788890 1671718520 2006062224 2507577780 3343437040 5015155560 10030311120