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2112103430320 = 2451331137478189
BaseRepresentation
bin11110101111000011001…
…011001011100010110000
321110220201010020011021211
4132233003023023202300
5234101041434232240
64254141550325504
7305410614640312
oct36570313134260
97426633204254
102112103430320
11744813362264
122a140b1b9894
1312422a7805b0
14743251737b2
1539e19ab8bea
hex1ebc32cb8b0

2112103430320 has 160 divisors (see below), whose sum is σ = 5498833052160. Its totient is φ = 749186703360.

The previous prime is 2112103430309. The next prime is 2112103430347. The reversal of 2112103430320 is 230343012112.

It is a super-2 number, since 2×21121034303202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112103430291 and 2112103430300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4177786 + ... + 4655974.

It is an arithmetic number, because the mean of its divisors is an integer number (34367706576).

Almost surely, 22112103430320 is an apocalyptic number.

2112103430320 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 2112103430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749416526080).

2112103430320 is an abundant number, since it is smaller than the sum of its proper divisors (3386729621840).

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

2112103430320 is a wasteful number, since it uses less digits than its factorization.

2112103430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478383 (or 478377 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2112103430320 its reverse (230343012112), we get a palindrome (2342446442432).

The spelling of 2112103430320 in words is "two trillion, one hundred twelve billion, one hundred three million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 137 155 208 248 260 274 310 403 496 520 548 620 685 806 1040 1096 1240 1370 1612 1781 2015 2192 2480 2740 3224 3562 4030 4247 5480 6448 7124 8060 8494 8905 10960 14248 16120 16988 17810 21235 28496 32240 33976 35620 42470 55211 67952 71240 84940 110422 142480 169880 220844 276055 339760 441688 478189 552110 883376 956378 1104220 1912756 2208440 2390945 3825512 4416880 4781890 6216457 7651024 9563780 12432914 14823859 19127560 24865828 29647718 31082285 38255120 49731656 59295436 62164570 65511893 74119295 99463312 118590872 124329140 131023786 148238590 192710167 237181744 248658280 262047572 296477180 327559465 385420334 497316560 524095144 592954360 655118930 770840668 851654609 963550835 1048190288 1185908720 1310237860 1541681336 1703309218 1927101670 2030868683 2620475720 3083362672 3406618436 3854203340 4061737366 4258273045 5240951440 6813236872 7708406680 8123474732 8516546090 10154343415 13626473744 15416813360 16246949464 17033092180 20308686830 26401292879 32493898928 34066184360 40617373660 52802585758 68132368720 81234747320 105605171516 132006464395 162469494640 211210343032 264012928790 422420686064 528025857580 1056051715160 2112103430320