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22120021011121 = 112101234951349
BaseRepresentation
bin1010000011110001101111…
…11111101010101010110001
32220022122122022000102221221
411001320313333222222301
510344403300334323441
6115013444121545041
74442055512212165
oct501706777525261
986278568012857
1022120021011121
117059059213a00
122593012345181
13c45ba81aab87
14566886b62ca5
152855d4ab98d1
hex141e37feaab1

22120021011121 has 36 divisors (see below), whose sum is σ = 24627698777500. Its totient is φ = 19852574544000.

The previous prime is 22120021011113. The next prime is 22120021011139. The reversal of 22120021011121 is 12111012002122.

It can be written as a sum of positive squares in 6 ways, for example, as 4400299140721 + 17719721870400 = 2097689^2 + 4209480^2 .

It is not a de Polignac number, because 22120021011121 - 23 = 22120021011113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22120021011095 and 22120021011104.

It is not an unprimeable number, because it can be changed into a prime (22120021011161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 430752355 + ... + 430803703.

Almost surely, 222120021011121 is an apocalyptic number.

It is an amenable number.

22120021011121 is a deficient number, since it is larger than the sum of its proper divisors (2507677766379).

22120021011121 is a wasteful number, since it uses less digits than its factorization.

22120021011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51922 (or 51810 counting only the distinct ones).

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

Adding to 22120021011121 its reverse (12111012002122), we get a palindrome (34231033013243).

The spelling of 22120021011121 in words is "twenty-two trillion, one hundred twenty billion, twenty-one million, eleven thousand, one hundred twenty-one".

Divisors: 1 11 101 121 349 1111 3839 10201 12221 35249 42229 51349 112211 387739 564839 1234321 3560149 4265129 5186249 6213229 17920801 39161639 57048739 197128811 430778029 523811149 627536129 1810000901 2168416921 5761922639 19910009911 63381149029 182810091001 219010109021 2010911001011 22120021011121