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22103120100 = 22352173425879
BaseRepresentation
bin10100100101011100…
…101101100011100100
32010001101220211122210
4110211130231203210
5330231344320400
614053134323420
71411510264245
oct244534554344
963041824583
1022103120100
1194126a9306
12434a359570
1321133189b9
1410d9744ccc
158956ec950
hex52572d8e4

22103120100 has 72 divisors (see below), whose sum is σ = 64321508160. Its totient is φ = 5860081280.

The previous prime is 22103120099. The next prime is 22103120101. The reversal of 22103120100 is 102130122.

It is an interprime number because it is at equal distance from previous prime (22103120099) and next prime (22103120101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (22103120101) 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, 161040 + ... + 264839.

It is an arithmetic number, because the mean of its divisors is an integer number (893354280).

Almost surely, 222103120100 is an apocalyptic number.

22103120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22103120100 is an abundant number, since it is smaller than the sum of its proper divisors (42218388060).

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

22103120100 is a wasteful number, since it uses less digits than its factorization.

22103120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426069 (or 426062 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22103120100 its reverse (102130122), we get a palindrome (22205250222).

The spelling of 22103120100 in words is "twenty-two billion, one hundred three million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 173 300 346 519 692 865 1038 1730 2076 2595 3460 4325 5190 8650 10380 12975 17300 25950 51900 425879 851758 1277637 1703516 2129395 2555274 4258790 5110548 6388185 8517580 10646975 12776370 21293950 25552740 31940925 42587900 63881850 73677067 127763700 147354134 221031201 294708268 368385335 442062402 736770670 884124804 1105156005 1473541340 1841926675 2210312010 3683853350 4420624020 5525780025 7367706700 11051560050 22103120100