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106521851142 = 2347194943927
BaseRepresentation
bin110001100110100110…
…0100111010100000110
3101011221200122201010000
41203031030213110012
53221124043214032
6120534020542130
710460465536530
oct1431514472406
9334850581100
10106521851142
11411a2898423
1218789b51946
13a077a41465
1452272b2850
152b86aa4e7c
hex18cd327506

106521851142 has 80 divisors (see below), whose sum is σ = 287143338240. Its totient is φ = 28832976432.

The previous prime is 106521851141. The next prime is 106521851213. The reversal of 106521851142 is 241158125601.

106521851142 is a `hidden beast` number, since 1 + 0 + 6 + 521 + 85 + 11 + 42 = 666.

It is a super-2 number, since 2×1065218511422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106521851097 and 106521851106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106521851141) 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 39 ways as a sum of consecutive naturals, for example, 2450418 + ... + 2493509.

It is an arithmetic number, because the mean of its divisors is an integer number (3589291728).

Almost surely, 2106521851142 is an apocalyptic number.

106521851142 is an abundant number, since it is smaller than the sum of its proper divisors (180621487098).

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

106521851142 is a wasteful number, since it uses less digits than its factorization.

106521851142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943967 (or 4943958 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Adding to 106521851142 its reverse (241158125601), we get a palindrome (347679976743).

The spelling of 106521851142 in words is "one hundred six billion, five hundred twenty-one million, eight hundred fifty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 266 342 378 399 513 567 798 1026 1134 1197 1539 2394 3078 3591 7182 10773 21546 4943927 9887854 14831781 29663562 34607489 44495343 69214978 88990686 93934613 103822467 133486029 187869226 207644934 266972058 281803839 311467401 400458087 563607678 622934802 657542291 800916174 845411517 934402203 1315084582 1690823034 1868804406 1972626873 2536234551 2803206609 3945253746 5072469102 5606413218 5917880619 7608703653 11835761238 15217407306 17753641857 35507283714 53260925571 106521851142