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13122222100 = 22521310094017
BaseRepresentation
bin11000011100010010…
…10011100000010100
31020212111202221122221
430032021103200110
5203333242101400
610010034432124
7643116022201
oct141611234024
936774687587
1013122222100
115624174759
122662732644
1313117c6180
148c6aa2ca8
1551c045c1a
hex30e253814

13122222100 has 36 divisors (see below), whose sum is σ = 30665626684. Its totient is φ = 4845127680.

The previous prime is 13122222031. The next prime is 13122222103. The reversal of 13122222100 is 122222131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4681022724 + 8441199376 = 68418^2 + 91876^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5045709 + ... + 5048308.

Almost surely, 213122222100 is an apocalyptic number.

13122222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122222100 is an abundant number, since it is smaller than the sum of its proper divisors (17543404584).

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

13122222100 is a wasteful number, since it uses less digits than its factorization.

13122222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10094044 (or 10094037 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13122222100 its reverse (122222131), we get a palindrome (13244444231).

The spelling of 13122222100 in words is "thirteen billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 10094017 20188034 40376068 50470085 100940170 131222221 201880340 252350425 262444442 504700850 524888884 656111105 1009401700 1312222210 2624444420 3280555525 6561111050 13122222100