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100200521106 = 23272113606033
BaseRepresentation
bin101110101010001101…
…0101001110110010010
3100120122010221212111100
41131110122221312102
53120202313133411
6114010444525230
710145030243100
oct1352432516622
9316563855440
10100200521106
1139549644624
1217504b50816
1395ab219c9a
144bc793ac70
152916b48456
hex17546a9d92

100200521106 has 36 divisors (see below), whose sum is σ = 252546213582. Its totient is φ = 28628720064.

The previous prime is 100200521089. The next prime is 100200521129. The reversal of 100200521106 is 601125002001.

It can be written as a sum of positive squares in only one way, i.e., 93091501881 + 7109019225 = 305109^2 + 84315^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 17 ways as a sum of consecutive naturals, for example, 56802135 + ... + 56803898.

Almost surely, 2100200521106 is an apocalyptic number.

100200521106 is an abundant number, since it is smaller than the sum of its proper divisors (152345692476).

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

100200521106 is a wasteful number, since it uses less digits than its factorization.

100200521106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113606055 (or 113606045 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 100200521106 its reverse (601125002001), we get a palindrome (701325523107).

The spelling of 100200521106 in words is "one hundred billion, two hundred million, five hundred twenty-one thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 113606033 227212066 340818099 681636198 795242231 1022454297 1590484462 2044908594 2385726693 4771453386 5566695617 7157180079 11133391234 14314360158 16700086851 33400173702 50100260553 100200521106