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2300545413320 = 2357111427523427
BaseRepresentation
bin100001011110100011001…
…100010011000011001000
322010221002222001202010112
4201132203030103003020
5300143004111211240
64520504520133452
7325131442236620
oct41364314230310
98127088052115
102300545413320
11807723a021a0
12311a40007288
13138c2c38884b
147d4c0209880
153ec984c5665
hex217a33130c8

2300545413320 has 128 divisors (see below), whose sum is σ = 6458012789760. Its totient is φ = 716549256960.

The previous prime is 2300545413301. The next prime is 2300545413367. The reversal of 2300545413320 is 233145450032.

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 31 ways as a sum of consecutive naturals, for example, 4133447 + ... + 4656873.

It is an arithmetic number, because the mean of its divisors is an integer number (50453224920).

Almost surely, 22300545413320 is an apocalyptic number.

2300545413320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300545413320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229006394880).

2300545413320 is an abundant number, since it is smaller than the sum of its proper divisors (4157467376440).

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

2300545413320 is a wasteful number, since it uses less digits than its factorization.

2300545413320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524883 (or 524879 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The spelling of 2300545413320 in words is "two trillion, three hundred billion, five hundred forty-five million, four hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1427 1540 2854 3080 5708 7135 9989 11416 14270 15697 19978 28540 31394 39956 49945 57080 62788 78485 79912 99890 109879 125576 156970 199780 219758 313940 399560 439516 523427 549395 627880 879032 1046854 1098790 2093708 2197580 2617135 3663989 4187416 4395160 5234270 5757697 7327978 10468540 11515394 14655956 18319945 20937080 23030788 28788485 29311912 36639890 40303879 46061576 57576970 73279780 80607758 115153940 146559560 161215516 201519395 230307880 322431032 403038790 746930329 806077580 1493860658 1612155160 2987721316 3734651645 5228512303 5975442632 7469303290 8216233619 10457024606 14938606580 16432467238 20914049212 26142561515 29877213160 32864934476 41081168095 41828098424 52285123030 57513635333 65729868952 82162336190 104570246060 115027270666 164324672380 209140492120 230054541332 287568176665 328649344760 460109082664 575136353330 1150272706660 2300545413320