Search a number
-
+
1120122220 = 225773127863
BaseRepresentation
bin100001011000011…
…1011010101101100
32220001201002211011
41002300323111230
54243222402340
6303052035004
736520611310
oct10260732554
92801632734
101120122220
11525309448
12273162a64
1314b0a7919
14a8a99b40
156850d0ea
hex42c3b56c

1120122220 has 96 divisors (see below), whose sum is σ = 2749759488. Its totient is φ = 375363072.

The previous prime is 1120122203. The next prime is 1120122221. The reversal of 1120122220 is 222210211.

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 1120122220.

It is not an unprimeable number, because it can be changed into a prime (1120122221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1297509 + ... + 1298371.

It is an arithmetic number, because the mean of its divisors is an integer number (28643328).

Almost surely, 21120122220 is an apocalyptic number.

1120122220 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 1120122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374879744).

1120122220 is an abundant number, since it is smaller than the sum of its proper divisors (1629637268).

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

1120122220 is a wasteful number, since it uses less digits than its factorization.

1120122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1077 counting only the distinct ones).

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

The square root of 1120122220 is about 33468.2270220578. The cubic root of 1120122220 is about 1038.5365943908.

Adding to 1120122220 its reverse (222210211), we get a palindrome (1342332431).

The spelling of 1120122220 in words is "one billion, one hundred twenty million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 127 140 146 254 292 365 508 511 635 730 863 889 1022 1270 1460 1726 1778 2044 2540 2555 3452 3556 4315 4445 5110 6041 8630 8890 9271 10220 12082 17260 17780 18542 24164 30205 37084 46355 60410 62999 64897 92710 109601 120820 125998 129794 185420 219202 251996 259588 314995 324485 438404 440993 548005 629990 648970 767207 881986 1096010 1259980 1297940 1534414 1763972 2192020 2204965 3068828 3836035 4409930 7672070 8000873 8819860 15344140 16001746 32003492 40004365 56006111 80008730 112012222 160017460 224024444 280030555 560061110 1120122220