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2300132010220 = 22511103131774857
BaseRepresentation
bin100001011110001010100…
…011010010100011101100
322010220001011011200200121
4201132022203102203230
5300141132243311340
64520355511334324
7325115262333022
oct41361243224354
98126034150617
102300132010220
11807531612340
123119456813a4
13138b94833725
147d481356712
153ec7206594a
hex2178a8d28ec

2300132010220 has 96 divisors (see below), whose sum is σ = 5361174314496. Its totient is φ = 821967244800.

The previous prime is 2300132010199. The next prime is 2300132010223. The reversal of 2300132010220 is 220102310032.

It is a junction number, because it is equal to n+sod(n) for n = 2300132010194 and 2300132010203.

It is not an unprimeable number, because it can be changed into a prime (2300132010223) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2581032 + ... + 3355888.

It is an arithmetic number, because the mean of its divisors is an integer number (55845565776).

Almost surely, 22300132010220 is an apocalyptic number.

2300132010220 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 2300132010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680587157248).

2300132010220 is an abundant number, since it is smaller than the sum of its proper divisors (3061042304276).

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

2300132010220 is a wasteful number, since it uses less digits than its factorization.

2300132010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775111 (or 775109 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2300132010220 its reverse (220102310032), we get a palindrome (2520234320252).

The spelling of 2300132010220 in words is "two trillion, three hundred billion, one hundred thirty-two million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 131 206 220 262 412 515 524 655 1030 1133 1310 1441 2060 2266 2620 2882 4532 5665 5764 7205 11330 13493 14410 22660 26986 28820 53972 67465 134930 148423 269860 296846 593692 742115 774857 1484230 1549714 2968460 3099428 3874285 7748570 8523427 15497140 17046854 34093708 42617135 79810271 85234270 101506267 159620542 170468540 203012534 319241084 399051355 406025068 507531335 798102710 877912981 1015062670 1116568937 1596205420 1755825962 2030125340 2233137874 3511651924 4389564905 4466275748 5582844685 8779129810 10455145501 11165689370 17558259620 20910291002 22331378740 41820582004 52275727505 104551455010 115006600511 209102910020 230013201022 460026402044 575033002555 1150066005110 2300132010220