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2300034041020 = 22517127442312043
BaseRepresentation
bin100001011110000100101…
…101100100010010111100
322010212210022211100012201
4201132010231210102330
5300140432203303040
64520342051441244
7325112662526362
oct41360455442274
98125708740181
102300034041020
11807491288661
123119188b6224
13138b7a4513a1
147d472333632
153ec68662a9a
hex21784b644bc

2300034041020 has 96 divisors (see below), whose sum is σ = 5156056055808. Its totient is φ = 858811548672.

The previous prime is 2300034040987. The next prime is 2300034041023. The reversal of 2300034041020 is 201404300032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300034041023) 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, 190979119 + ... + 190991161.

It is an arithmetic number, because the mean of its divisors is an integer number (53708917248).

Almost surely, 22300034041020 is an apocalyptic number.

2300034041020 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 2300034041020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578028027904).

2300034041020 is an abundant number, since it is smaller than the sum of its proper divisors (2856022014788).

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

2300034041020 is a wasteful number, since it uses less digits than its factorization.

2300034041020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16619 (or 16617 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 2300034041020 its reverse (201404300032), we get a palindrome (2501438341052).

The spelling of 2300034041020 in words is "two trillion, three hundred billion, thirty-four million, forty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 127 170 254 340 508 635 1270 2159 2540 4318 4423 8636 8846 10795 12043 17692 21590 22115 24086 43180 44230 48172 60215 75191 88460 120430 150382 204731 240860 300764 375955 409462 561721 751910 818924 1023655 1123442 1503820 1529461 2047310 2246884 2808605 3058922 4094620 5617210 6117844 7647305 9549257 11234420 15294610 19098514 26000837 30589220 38197028 47746285 52001674 53266189 95492570 104003348 106532378 130004185 190985140 213064756 260008370 266330945 520016740 532661890 905525213 1065323780 1811050426 3622100852 4527626065 6764806003 9055252130 13529612006 18110504260 27059224012 33824030015 67648060030 115001702051 135296120060 230003404102 460006808204 575008510255 1150017020510 2300034041020