Search a number
-
+
1021122022120 = 2351032392633943
BaseRepresentation
bin11101101101111111001…
…11011000101011101000
310121121200202020022201121
432312333213120223220
5113212224214201440
62101032540425024
7133526232656314
oct16667747305350
93547622208647
101021122022120
11364067840822
12145a97848174
13753a3264a95
14375cb760b44
151b865c6834a
hexedbf9d8ae8

1021122022120 has 128 divisors (see below), whose sum is σ = 2338987622400. Its totient is φ = 401157598464.

The previous prime is 1021122022087. The next prime is 1021122022147. The reversal of 1021122022120 is 212202211201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1021122022094 and 1021122022103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258968869 + ... + 258972811.

It is an arithmetic number, because the mean of its divisors is an integer number (18273340800).

Almost surely, 21021122022120 is an apocalyptic number.

1021122022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021122022120 is an abundant number, since it is smaller than the sum of its proper divisors (1317865600280).

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

1021122022120 is a wasteful number, since it uses less digits than its factorization.

1021122022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4559 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1021122022120 its reverse (212202211201), we get a palindrome (1233324233321).

The spelling of 1021122022120 in words is "one trillion, twenty-one billion, one hundred twenty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 103 206 239 263 412 478 515 526 824 956 1030 1052 1195 1315 1912 2060 2104 2390 2630 3943 4120 4780 5260 7886 9560 10520 15772 19715 24617 27089 31544 39430 49234 54178 62857 78860 98468 108356 123085 125714 135445 157720 196936 216712 246170 251428 270890 314285 406129 492340 502856 541780 628570 812258 942377 984680 1037009 1083560 1257140 1624516 1884754 2030645 2074018 2514280 3249032 3769508 4061290 4148036 4711885 5185045 6474271 7539016 8122580 8296072 9423770 10370090 12948542 16245160 18847540 20740180 25897084 32371355 37695080 41480360 51794168 64742710 97064831 106811927 129485420 194129662 213623854 247845151 258970840 388259324 427247708 485324155 495690302 534059635 776518648 854495416 970648310 991380604 1068119270 1239225755 1941296620 1982761208 2136238540 2478451510 3882593240 4272477080 4956903020 9913806040 25528050553 51056101106 102112202212 127640252765 204224404424 255280505530 510561011060 1021122022120