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33020345106 = 2327237438033
BaseRepresentation
bin11110110000001010…
…100111101100010010
310011020020121022221200
4132300022213230102
51020111202020411
623100324332030
72246163205500
oct366012475422
9104206538850
1033020345106
1113005140011
126496544016
133163050b58
141853629670
15cd3d8ae56
hex7b02a7b12

33020345106 has 36 divisors (see below), whose sum is σ = 83224749582. Its totient is φ = 9434384064.

The previous prime is 33020345101. The next prime is 33020345107. The reversal of 33020345106 is 60154302033.

It is a happy number.

33020345106 is a `hidden beast` number, since 3 + 3 + 0 + 203 + 451 + 0 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24998455881 + 8021889225 = 158109^2 + 89565^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 33020345106.

It is not an unprimeable number, because it can be changed into a prime (33020345101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18718135 + ... + 18719898.

Almost surely, 233020345106 is an apocalyptic number.

33020345106 is an abundant number, since it is smaller than the sum of its proper divisors (50204404476).

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

33020345106 is a wasteful number, since it uses less digits than its factorization.

33020345106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37438055 (or 37438045 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 33020345106 its reverse (60154302033), we get a palindrome (93174647139).

The spelling of 33020345106 in words is "thirty-three billion, twenty million, three hundred forty-five thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 37438033 74876066 112314099 224628198 262066231 336942297 524132462 673884594 786198693 1572397386 1834463617 2358596079 3668927234 4717192158 5503390851 11006781702 16510172553 33020345106