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1022200001121 = 3131919711176269
BaseRepresentation
bin11101101111111111101…
…11100011001001100001
310121201110212122022220210
432313333313203021201
5113221431200013441
62101331525324333
7133565032435245
oct16677767431141
93551425568823
101022200001121
11364570285362
121461388666a9
13755156a5490
14376909aa425
151b8ca6ee616
hexedffde3261

1022200001121 has 64 divisors (see below), whose sum is σ = 1554506553600. Its totient is φ = 592288091136.

The previous prime is 1022200001099. The next prime is 1022200001131. The reversal of 1022200001121 is 1211000022201.

It is not a de Polignac number, because 1022200001121 - 25 = 1022200001089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022200001097 and 1022200001106.

It is not an unprimeable number, because it can be changed into a prime (1022200001131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163053175 + ... + 163059443.

It is an arithmetic number, because the mean of its divisors is an integer number (24289164900).

Almost surely, 21022200001121 is an apocalyptic number.

It is an amenable number.

1022200001121 is a deficient number, since it is larger than the sum of its proper divisors (532306552479).

1022200001121 is a wasteful number, since it uses less digits than its factorization.

1022200001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7618.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022200001121 its reverse (1211000022201), we get a palindrome (2233200023322).

The spelling of 1022200001121 in words is "one trillion, twenty-two billion, two hundred million, one thousand, one hundred twenty-one".

Divisors: 1 3 13 19 39 57 197 247 591 741 1117 2561 3351 3743 6269 7683 11229 14521 18807 21223 43563 48659 63669 81497 119111 145977 220049 244491 275899 357333 660147 827697 1234993 1548443 2860637 3704979 4180931 4645329 7002473 8581911 12542793 16054909 21007419 23464867 48164727 54352103 70394601 91032149 133046987 163056309 273096447 305043271 399140961 915129813 1379487181 1729610831 4138461543 5188832493 17933333353 26210256439 53800000059 78630769317 340733333707 1022200001121