Search a number
-
+
2300233303120 = 245171691348017
BaseRepresentation
bin100001011110010000100…
…101101100010001010000
322010220022012202220102111
4201132100211230101100
5300141334211144440
64520413530355104
7325120632321424
oct41362045542120
98126265686374
102300233303120
11807583807185
1231197358ba94
13138bac80a85c
147d4909a2b84
153ec7adc34ea
hex2179096c450

2300233303120 has 40 divisors (see below), whose sum is σ = 5662633164264. Its totient is φ = 865970184192.

The previous prime is 2300233303117. The next prime is 2300233303139. The reversal of 2300233303120 is 213033320032.

It can be written as a sum of positive squares in 4 ways, for example, as 149036146704 + 2151197156416 = 386052^2 + 1466696^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2300233303091 and 2300233303100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 845672649 + ... + 845675368.

Almost surely, 22300233303120 is an apocalyptic number.

2300233303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300233303120 is an abundant number, since it is smaller than the sum of its proper divisors (3362399861144).

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

2300233303120 is a wasteful number, since it uses less digits than its factorization.

2300233303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691348047 (or 1691348041 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 2300233303120 its reverse (213033320032), we get a palindrome (2513266623152).

The spelling of 2300233303120 in words is "two trillion, three hundred billion, two hundred thirty-three million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1691348017 3382696034 6765392068 8456740085 13530784136 16913480170 27061568272 28752916289 33826960340 57505832578 67653920680 115011665156 135307841360 143764581445 230023330312 287529162890 460046660624 575058325780 1150116651560 2300233303120