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122103132100 = 22521221031321
BaseRepresentation
bin111000110110111101…
…0011110111111000100
3102200011120120210100221
41301231322132333010
54000031400211400
6132032101514124
711551554332605
oct1615572367704
9380146523327
10122103132100
1147869042424
121b7b8112944
13b68bb30a31
145ca47a9dac
15329993ac1a
hex1c6de9efc4

122103132100 has 18 divisors (see below), whose sum is σ = 264963796874. Its totient is φ = 48841252800.

The previous prime is 122103132097. The next prime is 122103132119. The reversal of 122103132100 is 1231301221.

It can be written as a sum of positive squares in 3 ways, for example, as 5652934596 + 116450197504 = 75186^2 + 341248^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 610515561 + ... + 610515760.

Almost surely, 2122103132100 is an apocalyptic number.

122103132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122103132100 is an abundant number, since it is smaller than the sum of its proper divisors (142860664774).

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

122103132100 is a wasteful number, since it uses less digits than its factorization.

122103132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221031335 (or 1221031328 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122103132100 its reverse (1231301221), we get a palindrome (123334433321).

The spelling of 122103132100 in words is "one hundred twenty-two billion, one hundred three million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1221031321 2442062642 4884125284 6105156605 12210313210 24420626420 30525783025 61051566050 122103132100