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13223202120 = 23325267713721
BaseRepresentation
bin11000101000010101…
…00000110101001000
31021010112210021012200
430110022200311020
5204040114431440
610024043040200
7645453235452
oct142412406510
937115707180
1013223202120
115676175517
122690510060
1313296c0a6b
148d626b2d2
15525d40c30
hex3142a0d48

13223202120 has 96 divisors (see below), whose sum is σ = 42994593720. Its totient is φ = 3524613120.

The previous prime is 13223202103. The next prime is 13223202121. The reversal of 13223202120 is 2120232231.

13223202120 is a `hidden beast` number, since 1 + 322 + 320 + 2 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4561921764 + 8661280356 = 67542^2 + 93066^2 .

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 = 13223202093 and 13223202102.

It is not an unprimeable number, because it can be changed into a prime (13223202121) 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, 956860 + ... + 970580.

Almost surely, 213223202120 is an apocalyptic number.

13223202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13223202120 is an abundant number, since it is smaller than the sum of its proper divisors (29771391600).

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

13223202120 is a wasteful number, since it uses less digits than its factorization.

13223202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16415 (or 16408 counting only the distinct ones).

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

Adding to 13223202120 its reverse (2120232231), we get a palindrome (15343434351).

The spelling of 13223202120 in words is "thirteen billion, two hundred twenty-three million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2677 5354 8031 10708 13385 13721 16062 21416 24093 26770 27442 32124 40155 41163 48186 53540 54884 64248 68605 80310 82326 96372 107080 109768 120465 123489 137210 160620 164652 192744 205815 240930 246978 274420 321240 329304 411630 481860 493956 548840 617445 823260 963720 987912 1234890 1646520 2469780 4939560 36731117 73462234 110193351 146924468 183655585 220386702 293848936 330580053 367311170 440773404 550966755 661160106 734622340 881546808 1101933510 1322320212 1469244680 1652900265 2203867020 2644640424 3305800530 4407734040 6611601060 13223202120