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106211511413 = 767263861079
BaseRepresentation
bin110001011101010110…
…0110000110001110101
3101011011001200211000222
41202322230300301311
53220010121331123
6120443133144125
710450006644140
oct1427254606165
9334131624028
10106211511413
11410536a1607
121870202b045
13a028663297
1451d7dab057
152b697026c8
hex18bab30c75

106211511413 has 16 divisors (see below), whose sum is σ = 123664865280. Its totient is φ = 89338564656.

The previous prime is 106211511401. The next prime is 106211511449. The reversal of 106211511413 is 314115112601.

It is a cyclic number.

It is not a de Polignac number, because 106211511413 - 222 = 106207317109 is a prime.

It is a super-2 number, since 2×1062115114132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106211511113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307193 + ... + 553886.

It is an arithmetic number, because the mean of its divisors is an integer number (7729054080).

Almost surely, 2106211511413 is an apocalyptic number.

It is an amenable number.

106211511413 is a deficient number, since it is larger than the sum of its proper divisors (17453353867).

106211511413 is an equidigital number, since it uses as much as digits as its factorization.

106211511413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861416.

The product of its (nonzero) digits is 720, while the sum is 26.

The spelling of 106211511413 in words is "one hundred six billion, two hundred eleven million, five hundred eleven thousand, four hundred thirteen".

Divisors: 1 7 67 263 469 1841 17621 123347 861079 6027553 57692293 226463777 403846051 1585246439 15173073059 106211511413