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122274478100 = 22525572195233
BaseRepresentation
bin111000111100000100…
…0000111100000010100
3102200121112000001220002
41301320020013200110
54000404231244400
6132101102230432
711556034625615
oct1617010074024
9380545001802
10122274478100
1147946834195
121b845585418
13b6b84948b8
145cbd44dc0c
1532a99d4ed5
hex1c78207814

122274478100 has 36 divisors (see below), whose sum is σ = 265812104124. Its totient is φ = 48821959680.

The previous prime is 122274478049. The next prime is 122274478121. The reversal of 122274478100 is 1874472221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 23224540816 + 99049937284 = 152396^2 + 314722^2 .

It is a super-3 number, since 3×1222744781003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1041917 + ... + 1153316.

It is an arithmetic number, because the mean of its divisors is an integer number (7383669559).

Almost surely, 2122274478100 is an apocalyptic number.

122274478100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122274478100 is an abundant number, since it is smaller than the sum of its proper divisors (143537626024).

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

122274478100 is a wasteful number, since it uses less digits than its factorization.

122274478100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195804 (or 2195797 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The spelling of 122274478100 in words is "one hundred twenty-two billion, two hundred seventy-four million, four hundred seventy-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 557 1114 2228 2785 5570 11140 13925 27850 55700 2195233 4390466 8780932 10976165 21952330 43904660 54880825 109761650 219523300 1222744781 2445489562 4890979124 6113723905 12227447810 24454895620 30568619525 61137239050 122274478100