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106052140056 = 23331142543199
BaseRepresentation
bin110001011000100110…
…0110011110000011000
3101010201221210220122010
41202301030303300120
53214143321440211
6120415241225520
710443033213462
oct1426114636030
9333657726563
10106052140056
1140a81739545
12186787922a0
13a0016329c5
1451c0b63132
152b5a7214a6
hex18b1333c18

106052140056 has 32 divisors (see below), whose sum is σ = 273682944000. Its totient is φ = 34210367520.

The previous prime is 106052140037. The next prime is 106052140069. The reversal of 106052140056 is 650041250601.

106052140056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1060521400563 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71270856 + ... + 71272343.

It is an arithmetic number, because the mean of its divisors is an integer number (8552592000).

Almost surely, 2106052140056 is an apocalyptic number.

It is an amenable number.

106052140056 is an abundant number, since it is smaller than the sum of its proper divisors (167630803944).

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

106052140056 is a wasteful number, since it uses less digits than its factorization.

106052140056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142543239 (or 142543235 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 106052140056 its reverse (650041250601), we get a palindrome (756093390657).

The spelling of 106052140056 in words is "one hundred six billion, fifty-two million, one hundred forty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 142543199 285086398 427629597 570172796 855259194 1140345592 1710518388 3421036776 4418839169 8837678338 13256517507 17675356676 26513035014 35350713352 53026070028 106052140056