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3000123212100 = 2235275932409157
BaseRepresentation
bin101011101010000101010…
…001110100000101000100
3101121210211202010002200020
4223222011101310011010
5343123223020241400
610214123152215140
7426515564354040
oct53520521640504
911553752102606
103000123212100
11a57388381863
1240553b23a4b0
13189bab20cb81
14a52c740b020
15530904812a0
hex2ba85474144

3000123212100 has 144 divisors (see below), whose sum is σ = 9937140732288. Its totient is φ = 684585768960.

The previous prime is 3000123212087. The next prime is 3000123212113. The reversal of 3000123212100 is 12123210003.

It is an interprime number because it is at equal distance from previous prime (3000123212087) and next prime (3000123212113).

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 3000123212100.

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 47 ways as a sum of consecutive naturals, for example, 40722 + ... + 2449878.

It is an arithmetic number, because the mean of its divisors is an integer number (69007921752).

Almost surely, 23000123212100 is an apocalyptic number.

3000123212100 is a gapful number since it is divisible by the number (30) 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 3000123212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968570366144).

3000123212100 is an abundant number, since it is smaller than the sum of its proper divisors (6937017520188).

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

3000123212100 is a wasteful number, since it uses less digits than its factorization.

3000123212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409774 (or 2409767 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 3000123212100 its reverse (12123210003), we get a palindrome (3012246422103).

The spelling of 3000123212100 in words is "three trillion, one hundred twenty-three million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 593 700 1050 1186 1779 2100 2372 2965 3558 4151 5930 7116 8302 8895 11860 12453 14825 16604 17790 20755 24906 29650 35580 41510 44475 49812 59300 62265 83020 88950 103775 124530 177900 207550 249060 311325 415100 622650 1245300 2409157 4818314 7227471 9636628 12045785 14454942 16864099 24091570 28909884 33728198 36137355 48183140 50592297 60228925 67456396 72274710 84320495 101184594 120457850 144549420 168640990 180686775 202369188 240915700 252961485 337281980 361373550 421602475 505922970 722747100 843204950 1011845940 1264807425 1428630101 1686409900 2529614850 2857260202 4285890303 5059229700 5714520404 7143150505 8571780606 10000410707 14286301010 17143561212 20000821414 21429451515 28572602020 30001232121 35715752525 40001642828 42858903030 50002053535 60002464242 71431505050 85717806060 100004107070 107147257575 120004928484 142863010100 150006160605 200008214140 214294515150 250010267675 300012321210 428589030300 500020535350 600024642420 750030803025 1000041070700 1500061606050 3000123212100