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122200000101 = 3289152559301
BaseRepresentation
bin111000111001110110…
…0000000011001100101
3102200102022212012021200
41301303230000121211
54000231200000401
6132045442033113
711554141601604
oct1616354003145
9380368765250
10122200000101
1147908794823
121b824648799
13b6a5c18a8a
145cb35c3a3b
1532a31c2686
hex1c73b00665

122200000101 has 12 divisors (see below), whose sum is σ = 178494383340. Its totient is φ = 80551310400.

The previous prime is 122200000073. The next prime is 122200000123. The reversal of 122200000101 is 101000002221.

It can be written as a sum of positive squares in 2 ways, for example, as 86891711076 + 35308289025 = 294774^2 + 187905^2 .

It is not a de Polignac number, because 122200000101 - 26 = 122200000037 is a prime.

It is a super-4 number, since 4×1222000001014 (a number of 45 digits) contains 4444 as substring.

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 (122200000301) 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 11 ways as a sum of consecutive naturals, for example, 76278850 + ... + 76280451.

It is an arithmetic number, because the mean of its divisors is an integer number (14874531945).

Almost surely, 2122200000101 is an apocalyptic number.

It is an amenable number.

122200000101 is a deficient number, since it is larger than the sum of its proper divisors (56294383239).

122200000101 is a wasteful number, since it uses less digits than its factorization.

122200000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152559396 (or 152559393 counting only the distinct ones).

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

Adding to 122200000101 its reverse (101000002221), we get a palindrome (223200002322).

The spelling of 122200000101 in words is "one hundred twenty-two billion, two hundred million, one hundred one", and thus it is an aban number.

Divisors: 1 3 9 89 267 801 152559301 457677903 1373033709 13577777789 40733333367 122200000101