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101067033342 = 231131179275963
BaseRepresentation
bin101111000100000010…
…0001000101011111110
3100122212112110020211010
41132020010020223332
53123441130031332
6114232441140050
710205351415612
oct1361004105376
9318775406733
10101067033342
1139953784040
121770718a626
1396b88ba012
144c6aa5b342
152967c5c9cc
hex1788108afe

101067033342 has 64 divisors (see below), whose sum is σ = 228895580160. Its totient is φ = 29472741600.

The previous prime is 101067033341. The next prime is 101067033371. The reversal of 101067033342 is 243330760101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101067033341) 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 31 ways as a sum of consecutive naturals, for example, 228253 + ... + 504215.

It is an arithmetic number, because the mean of its divisors is an integer number (3576493440).

Almost surely, 2101067033342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101067033342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114447790080).

101067033342 is an abundant number, since it is smaller than the sum of its proper divisors (127828546818).

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

101067033342 is a wasteful number, since it uses less digits than its factorization.

101067033342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276189.

The product of its (nonzero) digits is 9072, while the sum is 30.

Adding to 101067033342 its reverse (243330760101), we get a palindrome (344397793443).

The spelling of 101067033342 in words is "one hundred one billion, sixty-seven million, thirty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 179 186 341 358 537 682 1023 1074 1969 2046 3938 5549 5907 11098 11814 16647 33294 61039 122078 183117 275963 366234 551926 827889 1655778 3035593 6071186 8554853 9106779 17109706 18213558 25664559 49397377 51329118 94103383 98794754 148192131 188206766 282310149 296384262 543371147 564620298 1086742294 1531318687 1630113441 3062637374 3260226882 4593956061 9187912122 16844505557 33689011114 50533516671 101067033342