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3000312212100 = 2235276123421641
BaseRepresentation
bin101011101010010000100…
…010110010101010000100
3101121211022220202021221020
4223222100202302222010
5343124114411241400
610214154023151140
7426523351005330
oct53522042625204
911554286667836
103000312212100
11a57475031305
124055925a54b0
13189c0b4153a8
14a53045687c0
15530a1d662a0
hex2ba908b2a84

3000312212100 has 144 divisors (see below), whose sum is σ = 10083672686976. Its totient is φ = 674543232000.

The previous prime is 3000312212059. The next prime is 3000312212123. The reversal of 3000312212100 is 12122130003.

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 3000312212100.

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, 11582721 + ... + 11838920.

Almost surely, 23000312212100 is an apocalyptic number.

3000312212100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3000312212100 is an abundant number, since it is smaller than the sum of its proper divisors (7083360474876).

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

3000312212100 is a wasteful number, since it uses less digits than its factorization.

3000312212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23421726 (or 23421719 counting only the distinct ones).

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

Adding to 3000312212100 its reverse (12122130003), we get a palindrome (3012434342103).

The spelling of 3000312212100 in words is "three trillion, three hundred twelve 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 61 70 75 84 100 105 122 140 150 175 183 210 244 300 305 350 366 420 427 525 610 700 732 854 915 1050 1220 1281 1525 1708 1830 2100 2135 2562 3050 3660 4270 4575 5124 6100 6405 8540 9150 10675 12810 18300 21350 25620 32025 42700 64050 128100 23421641 46843282 70264923 93686564 117108205 140529846 163951487 234216410 281059692 327902974 351324615 468432820 491854461 585541025 655805948 702649230 819757435 983708922 1171082050 1405298460 1428720101 1639514870 1756623075 1967417844 2342164100 2459272305 2857440202 3279029740 3513246150 4098787175 4286160303 4918544610 5714880404 7026492300 7143600505 8197574350 8572320606 9837089220 10001040707 12296361525 14287201010 16395148700 17144641212 20002081414 21430801515 24592723050 28574402020 30003122121 35718002525 40004162828 42861603030 49185446100 50005203535 60006244242 71436005050 85723206060 100010407070 107154007575 120012488484 142872010100 150015610605 200020814140 214308015150 250026017675 300031221210 428616030300 500052035350 600062442420 750078053025 1000104070700 1500156106050 3000312212100