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122043689352 = 233213231672
BaseRepresentation
bin111000110101001011…
…1101110100110001000
3102200000102201210020200
41301222113232212020
53444421141024402
6132022135452200
711550233146254
oct1615227564610
9380012653220
10122043689352
1147838532192
121b7a0227060
13b67c71a600
145c9a935264
1532945e821c
hex1c6a5ee988

122043689352 has 108 divisors (see below), whose sum is σ = 358029639045. Its totient is φ = 37540047168.

The previous prime is 122043689351. The next prime is 122043689357. The reversal of 122043689352 is 253986340221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122043689352 is a `hidden beast` number, since 12 + 204 + 3 + 6 + 89 + 352 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104350965156 + 17692724196 = 323034^2 + 133014^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247026.

It is a super-2 number, since 2×1220436893522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122043689298 and 122043689307.

It is not an unprimeable number, because it can be changed into a prime (122043689351) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 38534473 + ... + 38537639.

Almost surely, 2122043689352 is an apocalyptic number.

122043689352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122043689352

122043689352 is an abundant number, since it is smaller than the sum of its proper divisors (235985949693).

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

122043689352 is an equidigital number, since it uses as much as digits as its factorization.

122043689352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6372 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 122043689352 in words is "one hundred twenty-two billion, forty-three million, six hundred eighty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 3167 4056 6084 6334 9501 12168 12668 19002 25336 28503 38004 41171 57006 76008 82342 114012 123513 164684 228024 247026 329368 370539 494052 535223 741078 988104 1070446 1482156 1605669 2140892 2964312 3211338 4281784 4817007 6422676 9634014 10029889 12845352 19268028 20059778 30089667 38536056 40119556 60179334 80239112 90269001 120358668 130388557 180538002 240717336 260777114 361076004 391165671 521554228 722152008 782331342 1043108456 1173497013 1564662684 1695051241 2346994026 3129325368 3390102482 4693988052 5085153723 6780204964 9387976104 10170307446 13560409928 15255461169 20340614892 30510922338 40681229784 61021844676 122043689352