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201223203120 = 243251671673513
BaseRepresentation
bin1011101101100111010…
…1100110100100110000
3201020101120221211201200
42323121311212210300
511244101114444440
6232235103331200
720352333001602
oct2733165464460
9636346854650
10201223203120
117837a285875
1232bb92b0b00
1315c8a8789c4
149a4c731172
15537aa44c30
hex2ed9d66930

201223203120 has 120 divisors (see below), whose sum is σ = 679821551136. Its totient is φ = 53338174464.

The previous prime is 201223203073. The next prime is 201223203127. The reversal of 201223203120 is 21302322102.

201223203120 is a `hidden beast` number, since 20 + 12 + 2 + 320 + 312 + 0 = 666.

201223203120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 201223203093 and 201223203102.

It is not an unprimeable number, because it can be changed into a prime (201223203127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716517 + ... + 956996.

Almost surely, 2201223203120 is an apocalyptic number.

201223203120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201223203120 is an abundant number, since it is smaller than the sum of its proper divisors (478598348016).

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

201223203120 is a wasteful number, since it uses less digits than its factorization.

201223203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673699 (or 1673690 counting only the distinct ones).

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

Adding to 201223203120 its reverse (21302322102), we get a palindrome (222525525222).

The spelling of 201223203120 in words is "two hundred one billion, two hundred twenty-three million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 167 180 240 334 360 501 668 720 835 1002 1336 1503 1670 2004 2505 2672 3006 3340 4008 5010 6012 6680 7515 8016 10020 12024 13360 15030 20040 24048 30060 40080 60120 120240 1673513 3347026 5020539 6694052 8367565 10041078 13388104 15061617 16735130 20082156 25102695 26776208 30123234 33470260 40164312 50205390 60246468 66940520 75308085 80328624 100410780 120492936 133881040 150616170 200821560 240985872 279476671 301232340 401643120 558953342 602464680 838430013 1117906684 1204929360 1397383355 1676860026 2235813368 2515290039 2794766710 3353720052 4192150065 4471626736 5030580078 5589533420 6707440104 8384300130 10061160156 11179066840 12576450195 13414880208 16768600260 20122320312 22358133680 25152900390 33537200520 40244640624 50305800780 67074401040 100611601560 201223203120