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13020030100 = 22527211241559
BaseRepresentation
bin11000010000000110…
…11110010010010100
31020121101111001121001
430020003132102110
5203131111430400
65551544233044
7640435300300
oct141003362224
936541431531
1013020030100
115581516360
12263446b784
1312c6595a2c
148b72a0d00
155130aba6a
hex3080de494

13020030100 has 108 divisors (see below), whose sum is σ = 35854267680. Its totient is φ = 4058174400.

The previous prime is 13020030073. The next prime is 13020030167. The reversal of 13020030100 is 103002031.

It is a super-3 number, since 3×130200301003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 66880 + ... + 174679.

It is an arithmetic number, because the mean of its divisors is an integer number (331983960).

Almost surely, 213020030100 is an apocalyptic number.

13020030100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13020030100 is an abundant number, since it is smaller than the sum of its proper divisors (22834237580).

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

13020030100 is a wasteful number, since it uses less digits than its factorization.

13020030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241598 (or 241584 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 13020030100 its reverse (103002031), we get a palindrome (13123032131).

The spelling of 13020030100 in words is "thirteen billion, twenty million, thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 49 50 55 70 77 98 100 110 140 154 175 196 220 245 275 308 350 385 490 539 550 700 770 980 1078 1100 1225 1540 1925 2156 2450 2695 3850 4900 5390 7700 10780 13475 26950 53900 241559 483118 966236 1207795 1690913 2415590 2657149 3381826 4831180 5314298 6038975 6763652 8454565 10628596 11836391 12077950 13285745 16909130 18600043 23672782 24155900 26571490 33818260 37200086 42272825 47345564 53142980 59181955 66428725 74400172 84545650 93000215 118363910 130200301 132857450 169091300 186000430 236727820 260400602 265714900 295909775 372000860 465001075 520801204 591819550 651001505 930002150 1183639100 1302003010 1860004300 2604006020 3255007525 6510015050 13020030100