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20122303120200 = 23325211179057289
BaseRepresentation
bin1001001001101000101101…
…01110101100001101001000
32122020200011220100202010100
410210310112232230031020
510114140434044321300
6110444020342245400
74144534300262301
oct444642656541510
978220156322110
1020122303120200
116458903584486
12230ba06726860
13b2c6a9696508
144d7cd34057a8
1524d662127700
hex124d16bac348

20122303120200 has 72 divisors (see below), whose sum is σ = 67577401318050. Its totient is φ = 5365947498240.

The previous prime is 20122303120181. The next prime is 20122303120229. The reversal of 20122303120200 is 202130322102.

20122303120200 is a `hidden beast` number, since 2 + 0 + 122 + 30 + 312 + 0 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 19500473092356 + 621830027844 = 4415934^2 + 788562^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×201223031202002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5589526845 + ... + 5589530444.

Almost surely, 220122303120200 is an apocalyptic number.

20122303120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122303120200 is an abundant number, since it is smaller than the sum of its proper divisors (47455098197850).

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

20122303120200 is a wasteful number, since it uses less digits than its factorization.

20122303120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11179057311 (or 11179057299 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20122303120200 its reverse (202130322102), we get a palindrome (20324433442302).

The spelling of 20122303120200 in words is "twenty trillion, one hundred twenty-two billion, three hundred three million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 11179057289 22358114578 33537171867 44716229156 55895286445 67074343734 89432458312 100611515601 111790572890 134148687468 167685859335 201223031202 223581145780 268297374936 279476432225 335371718670 402446062404 447162291560 503057578005 558952864450 670743437340 804892124808 838429296675 1006115156010 1117905728900 1341486874680 1676858593350 2012230312020 2235811457800 2515287890025 3353717186700 4024460624040 5030575780050 6707434373400 10061151560100 20122303120200