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114304001020 = 225111633187507
BaseRepresentation
bin110101001110100001…
…1001010001111111100
3101221001001010212211021
41222131003022033330
53333043311013040
6124302135233524
711154362656246
oct1523503121774
9357031125737
10114304001020
11445266a0850
121a1a02188a4
13aa180ba581
145764a6d096
152e8edbc24a
hex1a9d0ca3fc

114304001020 has 48 divisors (see below), whose sum is σ = 263466661248. Its totient is φ = 41310077760.

The previous prime is 114304000973. The next prime is 114304001023. The reversal of 114304001020 is 20100403411.

It is a super-2 number, since 2×1143040010202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114304000985 and 114304001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114304001023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1557894 + ... + 1629613.

It is an arithmetic number, because the mean of its divisors is an integer number (5488888776).

Almost surely, 2114304001020 is an apocalyptic number.

114304001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114304001020 is an abundant number, since it is smaller than the sum of its proper divisors (149162660228).

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

114304001020 is a wasteful number, since it uses less digits than its factorization.

114304001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187690 (or 3187688 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 114304001020 its reverse (20100403411), we get a palindrome (134404404431).

The spelling of 114304001020 in words is "one hundred fourteen billion, three hundred four million, one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 163 220 326 652 815 1630 1793 3260 3586 7172 8965 17930 35860 3187507 6375014 12750028 15937535 31875070 35062577 63750140 70125154 140250308 175312885 350625770 519563641 701251540 1039127282 2078254564 2597818205 5195636410 5715200051 10391272820 11430400102 22860800204 28576000255 57152000510 114304001020