Search a number
-
+
10220221120 = 265239071531
BaseRepresentation
bin10011000010010110…
…00011001011000000
3222101021011000201011
421201023003023000
5131412334033440
64410050450304
7511160306014
oct114113031300
928337130634
1010220221120
11437505943a
121b92893994
13c6b504725
146cd4ca544
153ec3ad9ea
hex2612c32c0

10220221120 has 112 divisors (see below), whose sum is σ = 25439632128. Its totient is φ = 3903482880.

The previous prime is 10220221001. The next prime is 10220221129. The reversal of 10220221120 is 2112202201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10220221120.

It is not an unprimeable number, because it can be changed into a prime (10220221129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6674755 + ... + 6676285.

Almost surely, 210220221120 is an apocalyptic number.

10220221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12719816064).

10220221120 is an abundant number, since it is smaller than the sum of its proper divisors (15219411008).

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

10220221120 is a wasteful number, since it uses less digits than its factorization.

10220221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10220221120 its reverse (2112202201), we get a palindrome (12332423321).

The spelling of 10220221120 in words is "ten billion, two hundred twenty million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 907 920 1472 1531 1814 1840 3062 3628 3680 4535 6124 7256 7360 7655 9070 12248 14512 15310 18140 20861 24496 29024 30620 35213 36280 41722 48992 58048 61240 70426 72560 83444 97984 104305 122480 140852 145120 166888 176065 208610 244960 281704 290240 333776 352130 417220 489920 563408 667552 704260 834440 1126816 1335104 1388617 1408520 1668880 2253632 2777234 2817040 3337760 5554468 5634080 6675520 6943085 11108936 11268160 13886170 22217872 27772340 31938191 44435744 55544680 63876382 88871488 111089360 127752764 159690955 222178720 255505528 319381910 444357440 511011056 638763820 1022022112 1277527640 2044044224 2555055280 5110110560 10220221120