Search a number
-
+
32112011221220 = 2257232767358389
BaseRepresentation
bin1110100110100101010010…
…00001011001100011100100
311012200212201021102012200002
413103102221001121203210
513202110344333034340
6152144015421240432
76523005400513400
oct723225101314344
9135625637365602
1032112011221220
11a26069a1a3247
123727633703118
1314bc1c3a76238
147d033019a100
153aa49172b715
hex1d34a90598e4

32112011221220 has 36 divisors (see below), whose sum is σ = 78445055985660. Its totient is φ = 11009832418368.

The previous prime is 32112011221211. The next prime is 32112011221223. The reversal of 32112011221220 is 2212211021123.

It can be written as a sum of positive squares in 2 ways, for example, as 5999481979456 + 26112529241764 = 2449384^2 + 5110042^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32112011221192 and 32112011221201.

It is not an unprimeable number, because it can be changed into a prime (32112011221223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16383678215 + ... + 16383680174.

It is an arithmetic number, because the mean of its divisors is an integer number (2179029332935).

Almost surely, 232112011221220 is an apocalyptic number.

It is an amenable number.

32112011221220 is an abundant number, since it is smaller than the sum of its proper divisors (46333044764440).

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

32112011221220 is a wasteful number, since it uses less digits than its factorization.

32112011221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32767358412 (or 32767358403 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 32112011221220 its reverse (2212211021123), we get a palindrome (34324222242343).

The spelling of 32112011221220 in words is "thirty-two trillion, one hundred twelve billion, eleven million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 32767358389 65534716778 131069433556 163836791945 229371508723 327673583890 458743017446 655347167780 917486034892 1146857543615 1605600561061 2293715087230 3211201122122 4587430174460 6422402244244 8028002805305 16056005610610 32112011221220