Search a number
-
+
22212111010120 = 2351013656983449
BaseRepresentation
bin1010000110011101010001…
…11111001000100101001000
32220122110100012121002201121
411003032220333020211020
510402410400404310440
6115124034122125024
74451525550250243
oct503165077104510
986573305532647
1022212111010120
117094115662199
1225a8a33050774
13c51792cc8b45
1456b10146625a
15287bc468534a
hex1433a8fc8948

22212111010120 has 64 divisors (see below), whose sum is σ = 50034800790000. Its totient is φ = 8874616025088.

The previous prime is 22212111010091. The next prime is 22212111010189. The reversal of 22212111010120 is 2101011121222.

It can be written as a sum of positive squares in 8 ways, for example, as 2577765113764 + 19634345896356 = 1605542^2 + 4431066^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22212111010094 and 22212111010103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266134156 + ... + 266217604.

Almost surely, 222212111010120 is an apocalyptic number.

22212111010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212111010120 is an abundant number, since it is smaller than the sum of its proper divisors (27822689779880).

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

22212111010120 is a wasteful number, since it uses less digits than its factorization.

22212111010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91042 (or 91038 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22212111010120 its reverse (2101011121222), we get a palindrome (24313122131342).

The spelling of 22212111010120 in words is "twenty-two trillion, two hundred twelve billion, one hundred eleven million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1013 2026 4052 5065 6569 8104 10130 13138 20260 26276 32845 40520 52552 65690 83449 131380 166898 262760 333796 417245 667592 834490 1668980 3337960 6654397 13308794 26617588 33271985 53235176 66543970 84533837 133087940 169067674 266175880 338135348 422669185 548176481 676270696 845338370 1096352962 1690676740 2192705924 2740882405 3381353480 4385411848 5481764810 10963529620 21927059240 555302775253 1110605550506 2221211101012 2776513876265 4442422202024 5553027752530 11106055505060 22212111010120