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23220122100 = 22352711057201
BaseRepresentation
bin10101101000000001…
…101111000111110100
32012221020202102100020
4111220001233013310
5340023322401400
614400035445140
71451262531660
oct255001570764
965836672306
1023220122100
11993617645a
1246004567b0
132260870326
1411a3c2b8a0
1590d7e12a0
hex56806f1f4

23220122100 has 72 divisors (see below), whose sum is σ = 76781210688. Its totient is φ = 5307456000.

The previous prime is 23220122071. The next prime is 23220122111. The reversal of 23220122100 is 122102232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23220122100.

It is a congruent number.

It is an unprimeable number.

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, 5526501 + ... + 5530700.

It is an arithmetic number, because the mean of its divisors is an integer number (1066405704).

Almost surely, 223220122100 is an apocalyptic number.

23220122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23220122100 is an abundant number, since it is smaller than the sum of its proper divisors (53561088588).

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

23220122100 is a wasteful number, since it uses less digits than its factorization.

23220122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11057225 (or 11057218 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 23220122100 its reverse (122102232), we get a palindrome (23342224332).

The spelling of 23220122100 in words is "twenty-three billion, two hundred twenty million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 11057201 22114402 33171603 44228804 55286005 66343206 77400407 110572010 132686412 154800814 165858015 221144020 232201221 276430025 309601628 331716030 387002035 464402442 552860050 663432060 774004070 829290075 928804884 1105720100 1161006105 1548008140 1658580150 1935010175 2322012210 3317160300 3870020350 4644024420 5805030525 7740040700 11610061050 23220122100