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106133320654012 = 221947271109640501
BaseRepresentation
bin11000001000011100010110…
…111000000101110010111100
3111220210020122121012000202101
4120020130112320011302330
5102402342020041412022
61013420550250034444
731232610424415011
oct3010342670056274
9456706577160671
10106133320654012
11308a998568a213
12baa1422418a24
13472b4383118a2
141c2cc47101708
15c40b87d9d627
hex608716e05cbc

106133320654012 has 48 divisors (see below), whose sum is σ = 200405295175680. Its totient is φ = 49022460360000.

The previous prime is 106133320653973. The next prime is 106133320654019. The reversal of 106133320654012 is 210456023331601.

106133320654012 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-2 number, since 2×1061333206540122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106133320654019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53852239 + ... + 55788262.

It is an arithmetic number, because the mean of its divisors is an integer number (4175110316160).

Almost surely, 2106133320654012 is an apocalyptic number.

It is an amenable number.

106133320654012 is a deficient number, since it is larger than the sum of its proper divisors (94271974521668).

106133320654012 is a wasteful number, since it uses less digits than its factorization.

106133320654012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109640842 (or 109640840 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

Adding to 106133320654012 its reverse (210456023331601), we get a palindrome (316589343985613).

The spelling of 106133320654012 in words is "one hundred six trillion, one hundred thirty-three billion, three hundred twenty million, six hundred fifty-four thousand, twelve".

Divisors: 1 2 4 19 38 47 76 94 188 271 542 893 1084 1786 3572 5149 10298 12737 20596 25474 50948 242003 484006 968012 109640501 219281002 438562004 2083169519 4166339038 5153103547 8332678076 10306207094 20612414188 29712575771 59425151542 97908967393 118850303084 195817934786 391635869572 564538939649 1129077879298 1396491061237 2258155758596 2792982122474 5585964244948 26533330163503 53066660327006 106133320654012