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2300133311120 = 245167172165667
BaseRepresentation
bin100001011110001010101…
…000010000001010010000
322010220001020121210012002
4201132022220100022100
5300141133111423440
64520355555253132
7325115306361521
oct41361250201220
98126036553162
102300133311120
11807532320767
12311945baa1a8
13138b94b9a8a8
147d4815b4848
153ec72221115
hex2178aa10290

2300133311120 has 40 divisors (see below), whose sum is σ = 5379832793664. Its totient is φ = 914544017792.

The previous prime is 2300133311117. The next prime is 2300133311129. The reversal of 2300133311120 is 211133310032.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×23001333111202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2300133311092 and 2300133311101.

It is not an unprimeable number, because it can be changed into a prime (2300133311129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86069474 + ... + 86096193.

Almost surely, 22300133311120 is an apocalyptic number.

2300133311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300133311120 is an abundant number, since it is smaller than the sum of its proper divisors (3079699482544).

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

2300133311120 is a wasteful number, since it uses less digits than its factorization.

2300133311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172165847 (or 172165841 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 2300133311120 its reverse (211133310032), we get a palindrome (2511266621152).

The spelling of 2300133311120 in words is "two trillion, three hundred billion, one hundred thirty-three million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3340 6680 13360 172165667 344331334 688662668 860828335 1377325336 1721656670 2754650672 3443313340 6886626680 13773253360 28751666389 57503332778 115006665556 143758331945 230013331112 287516663890 460026662224 575033327780 1150066655560 2300133311120