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2300320002120 = 233576740872779
BaseRepresentation
bin100001011110010101110…
…000011011000001001000
322010220112020220200002120
4201132111300123001020
5300142023410031440
64520430304531240
7325123034255250
oct41362560330110
98126466820076
102300320002120
11807618743448
12311998620b20
13138bc477513a
147d49c2d0960
153ec837ebdd0
hex21795c1b048

2300320002120 has 128 divisors (see below), whose sum is σ = 8004525235200. Its totient is φ = 517939842816.

The previous prime is 2300320002119. The next prime is 2300320002131. The reversal of 2300320002120 is 212000230032.

It is a super-2 number, since 2×23003200021202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2300320002120.

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, 20380110 + ... + 20492669.

It is an arithmetic number, because the mean of its divisors is an integer number (62535353400).

Almost surely, 22300320002120 is an apocalyptic number.

2300320002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300320002120 is an abundant number, since it is smaller than the sum of its proper divisors (5704205233080).

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

2300320002120 is a wasteful number, since it uses less digits than its factorization.

2300320002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40872867 (or 40872863 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2300320002120 its reverse (212000230032), we get a palindrome (2512320232152).

The spelling of 2300320002120 in words is "two trillion, three hundred billion, three hundred twenty million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 67 70 84 105 120 134 140 168 201 210 268 280 335 402 420 469 536 670 804 840 938 1005 1340 1407 1608 1876 2010 2345 2680 2814 3752 4020 4690 5628 7035 8040 9380 11256 14070 18760 28140 56280 40872779 81745558 122618337 163491116 204363895 245236674 286109453 326982232 408727790 490473348 572218906 613091685 817455580 858328359 980946696 1144437812 1226183370 1430547265 1634911160 1716656718 2288875624 2452366740 2738476193 2861094530 3433313436 4291641795 4904733480 5476952386 5722189060 6866626872 8215428579 8583283590 10953904772 11444378120 13692380965 16430857158 17166567180 19169333351 21907809544 27384761930 32861714316 34333134360 38338666702 41077142895 54769523860 57508000053 65723428632 76677333404 82154285790 95846666755 109539047720 115016000106 153354666808 164308571580 191693333510 230032000212 287540000265 328617143160 383386667020 460064000424 575080000530 766773334040 1150160001060 2300320002120