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12022313020100 = 2252281427840321
BaseRepresentation
bin1010111011110010100110…
…1100100110101011000100
31120120022200122221222010022
42232330221230212223010
53033433144113120400
641322550243314312
72350404060366155
oct256745154465304
946508618858108
1012022313020100
1139156a8308089
12142200837b998
1369291234aa66
142d7c5116192c
1515cadbc80b85
hexaef29b26ac4

12022313020100 has 36 divisors (see below), whose sum is σ = 26181260664468. Its totient is φ = 4791811584000.

The previous prime is 12022313020099. The next prime is 12022313020103. The reversal of 12022313020100 is 102031322021.

It can be written as a sum of positive squares in 6 ways, for example, as 585038354884 + 11437274665216 = 764878^2 + 3381904^2 .

It is not an unprimeable number, because it can be changed into a prime (12022313020103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 213892061 + ... + 213948260.

Almost surely, 212022313020100 is an apocalyptic number.

12022313020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022313020100 is an abundant number, since it is smaller than the sum of its proper divisors (14158947644368).

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

12022313020100 is a wasteful number, since it uses less digits than its factorization.

12022313020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427840616 (or 427840609 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12022313020100 its reverse (102031322021), we get a palindrome (12124344342121).

The spelling of 12022313020100 in words is "twelve trillion, twenty-two billion, three hundred thirteen million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 281 562 1124 1405 2810 5620 7025 14050 28100 427840321 855680642 1711361284 2139201605 4278403210 8556806420 10696008025 21392016050 42784032100 120223130201 240446260402 480892520804 601115651005 1202231302010 2404462604020 3005578255025 6011156510050 12022313020100