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2300003322320 = 245112237603649
BaseRepresentation
bin100001011110000010111…
…000011000100111010000
322010212201012000200002002
4201132002320120213100
5300140401322303240
64520335033213132
7325112140445444
oct41360270304720
98125635020062
102300003322320
11807475a07200
1231190a5611a8
13138b73c87242
147d46c218824
153ec65ae5d15
hex21782e189d0

2300003322320 has 60 divisors (see below), whose sum is σ = 5877839093700. Its totient is φ = 836364840960.

The previous prime is 2300003322313. The next prime is 2300003322367. The reversal of 2300003322320 is 232233000032.

It can be written as a sum of positive squares in 2 ways, for example, as 1109381905984 + 1190621416336 = 1053272^2 + 1091156^2 .

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 = 2300003322292 and 2300003322301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118792145 + ... + 118811504.

It is an arithmetic number, because the mean of its divisors is an integer number (97963984895).

Almost surely, 22300003322320 is an apocalyptic number.

2300003322320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300003322320 is an abundant number, since it is smaller than the sum of its proper divisors (3577835771380).

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

2300003322320 is a wasteful number, since it uses less digits than its factorization.

2300003322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237603684 (or 237603667 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 2300003322320 its reverse (232233000032), we get a palindrome (2532236322352).

The spelling of 2300003322320 in words is "two trillion, three hundred billion, three million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 237603649 475207298 950414596 1188018245 1900829192 2376036490 2613640139 3801658384 4752072980 5227280278 9504145960 10454560556 13068200695 19008291920 20909121112 26136401390 28750041529 41818242224 52272802780 57500083058 104545605560 115000166116 143750207645 209091211120 230000332232 287500415290 460000664464 575000830580 1150001661160 2300003322320