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106401969267 = 31129631176201
BaseRepresentation
bin110001100011000001…
…1010011010001110011
3101011122100002002002120
41203012003103101303
53220402401004032
6120514055245323
710454511546636
oct1430603232163
9334570062076
10106401969267
11411411573a0
1218755979843
13a058c59239
1452153c7c1d
152b7b2c462c
hex18c60d3473

106401969267 has 32 divisors (see below), whose sum is σ = 160357916160. Its totient is φ = 62163360000.

The previous prime is 106401969251. The next prime is 106401969277. The reversal of 106401969267 is 762969104601.

It is not a de Polignac number, because 106401969267 - 24 = 106401969251 is a prime.

It is a super-2 number, since 2×1064019692672 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106401969277) 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, 515767 + ... + 691967.

It is an arithmetic number, because the mean of its divisors is an integer number (5011184880).

Almost surely, 2106401969267 is an apocalyptic number.

106401969267 is a deficient number, since it is larger than the sum of its proper divisors (53955946893).

106401969267 is a wasteful number, since it uses less digits than its factorization.

106401969267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176875.

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 106401969267 in words is "one hundred six billion, four hundred one million, nine hundred sixty-nine thousand, two hundred sixty-seven".

Divisors: 1 3 11 29 33 87 319 631 957 1893 6941 18299 20823 54897 176201 201289 528603 603867 1938211 5109829 5814633 15329487 56208119 111182831 168624357 333548493 1223011141 3224302099 3669033423 9672906297 35467323089 106401969267