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122203333040 = 2453923389381
BaseRepresentation
bin111000111001111100…
…0101110000110110000
3102200102120010112012212
41301303320232012300
54000233023124130
6132050041311252
711554212122615
oct1616370560660
9380376115185
10122203333040
114790a660918
121b825795528
13b6a6814b29
145cb3c1050c
1532a362ee95
hex1c73e2e1b0

122203333040 has 40 divisors (see below), whose sum is σ = 284195904048. Its totient is φ = 48868747520.

The previous prime is 122203333027. The next prime is 122203333051. The reversal of 122203333040 is 40333302221.

122203333040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 122203332997 and 122203333015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119150 + ... + 508530.

Almost surely, 2122203333040 is an apocalyptic number.

122203333040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122203333040 is an abundant number, since it is smaller than the sum of its proper divisors (161992571008).

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

122203333040 is a wasteful number, since it uses less digits than its factorization.

122203333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393317 (or 393311 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 122203333040 its reverse (40333302221), we get a palindrome (162536635261).

The spelling of 122203333040 in words is "one hundred twenty-two billion, two hundred three million, three hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3923 7846 15692 19615 31384 39230 62768 78460 156920 313840 389381 778762 1557524 1946905 3115048 3893810 6230096 7787620 15575240 31150480 1527541663 3055083326 6110166652 7637708315 12220333304 15275416630 24440666608 30550833260 61101666520 122203333040