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22120000101 = 35432116949
BaseRepresentation
bin10100100110011101…
…000110101001100101
32010002120200102200000
4110212131012221211
5330300210000401
614054540211513
71412103620133
oct244635065145
963076612600
1022120000101
119421188521
124353b39b99
132116978c74
1410dba9a753
15896e34186
hex526746a65

22120000101 has 24 divisors (see below), whose sum is σ = 33905071200. Its totient is φ = 14403714192.

The previous prime is 22120000093. The next prime is 22120000141. The reversal of 22120000101 is 10100002122.

It is not a de Polignac number, because 22120000101 - 23 = 22120000093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120000141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1048026 + ... + 1068923.

It is an arithmetic number, because the mean of its divisors is an integer number (1412711300).

Almost surely, 222120000101 is an apocalyptic number.

It is an amenable number.

22120000101 is a deficient number, since it is larger than the sum of its proper divisors (11785071099).

22120000101 is an equidigital number, since it uses as much as digits as its factorization.

22120000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117007 (or 2116995 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22120000101 its reverse (10100002122), we get a palindrome (32220002223).

The spelling of 22120000101 in words is "twenty-two billion, one hundred twenty million, one hundred one", and thus it is an aban number.

Divisors: 1 3 9 27 43 81 129 243 387 1161 3483 10449 2116949 6350847 19052541 57157623 91028807 171472869 273086421 514418607 819259263 2457777789 7373333367 22120000101