Search a number
-
+
1121210222220 = 2232511737757093
BaseRepresentation
bin10000010100001101010…
…101100100011010001100
310222012001001211200202200
4100110031111210122030
5121332214304102340
62215024334121500
7144001430433054
oct20241525443214
93865031750680
101121210222220
113a2558a38970
1216136b050290
138196411611a
143c3a43c0564
151e272ac6330
hex1050d56468c

1121210222220 has 144 divisors (see below), whose sum is σ = 3761011511712. Its totient is φ = 268085099520.

The previous prime is 1121210222219. The next prime is 1121210222239. The reversal of 1121210222220 is 222220121211.

It is a happy number.

1121210222220 is a `hidden beast` number, since 1 + 1 + 212 + 10 + 222 + 220 = 666.

It is a super-2 number, since 2×11212102222202 (a number of 25 digits) contains 22 as substring.

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 = 1121210222193 and 1121210222202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3734007 + ... + 4023086.

It is an arithmetic number, because the mean of its divisors is an integer number (26118135498).

Almost surely, 21121210222220 is an apocalyptic number.

1121210222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121210222220 is an abundant number, since it is smaller than the sum of its proper divisors (2639801289492).

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

1121210222220 is a wasteful number, since it uses less digits than its factorization.

1121210222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7757192 (or 7757187 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1121210222220 its reverse (222220121211), we get a palindrome (1343430343431).

The spelling of 1121210222220 in words is "one trillion, one hundred twenty-one billion, two hundred ten million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 73 90 99 110 132 146 165 180 198 219 220 292 330 365 396 438 495 657 660 730 803 876 990 1095 1314 1460 1606 1980 2190 2409 2628 3212 3285 4015 4380 4818 6570 7227 8030 9636 12045 13140 14454 16060 24090 28908 36135 48180 72270 144540 7757093 15514186 23271279 31028372 38785465 46542558 69813837 77570930 85328023 93085116 116356395 139627674 155141860 170656046 232712790 255984069 279255348 341312092 349069185 426640115 465425580 511968138 566267789 698138370 767952207 853280230 1023936276 1132535578 1279920345 1396276740 1535904414 1698803367 1706560460 2265071156 2559840690 2831338945 3071808828 3397606734 3839761035 5096410101 5119681380 5662677890 6228945679 6795213468 7679522070 8494016835 10192820202 11325355780 12457891358 15359044140 16988033670 18686837037 20385640404 24915782716 25482050505 31144728395 33976067340 37373674074 50964101010 56060511111 62289456790 74747348148 93434185185 101928202020 112121022222 124578913580 186868370370 224242044444 280302555555 373736740740 560605111110 1121210222220