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2300401402020 = 2232512780007789
BaseRepresentation
bin100001011110011010100…
…110111100000010100100
322010220201221002012202200
4201132122212330002210
5300142210224331040
64520442333334500
7325125043201611
oct41363246740244
98126657065680
102300401402020
1180765a690397
123119bb937430
13138c085a5767
147d4a903d508
153ec8aa2a630
hex2179a9bc0a4

2300401402020 has 36 divisors (see below), whose sum is σ = 6977884253340. Its totient is φ = 613440373824.

The previous prime is 2300401401997. The next prime is 2300401402093. The reversal of 2300401402020 is 202041040032.

2300401402020 is a `hidden beast` number, since 23 + 0 + 0 + 401 + 40 + 202 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1383484078656 + 916917323364 = 1176216^2 + 957558^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×23004014020202 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2300401401984 and 2300401402002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6390003715 + ... + 6390004074.

Almost surely, 22300401402020 is an apocalyptic number.

2300401402020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300401402020 is an abundant number, since it is smaller than the sum of its proper divisors (4677482851320).

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

2300401402020 is a wasteful number, since it uses less digits than its factorization.

2300401402020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12780007804 (or 12780007799 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2300401402020 its reverse (202041040032), we get a palindrome (2502442442052).

The spelling of 2300401402020 in words is "two trillion, three hundred billion, four hundred one million, four hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12780007789 25560015578 38340023367 51120031156 63900038945 76680046734 115020070101 127800077890 153360093468 191700116835 230040140202 255600155780 383400233670 460080280404 575100350505 766800467340 1150200701010 2300401402020