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106550050050301 = 111314949253101531
BaseRepresentation
bin11000001110100000011101…
…111000100101000011111101
3111222021002022012001210011011
4120032200131320211003331
5102431204000303102201
61014340230043155221
731304662366013104
oct3016403570450375
9458232265053134
10106550050050301
1130a4a693554660
12bb4a144215b11
13475b81b868790
141c4509b06303b
15c4b92831a151
hex60e81de250fd

106550050050301 has 32 divisors (see below), whose sum is σ = 126021599625600. Its totient is φ = 88809866745600.

The previous prime is 106550050050287. The next prime is 106550050050343. The reversal of 106550050050301 is 103050050055601.

It is not a de Polignac number, because 106550050050301 - 27 = 106550050050173 is a prime.

It is a super-2 number, since 2×1065500500503012 (a number of 29 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 (106550050050001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1049382906 + ... + 1049484436.

It is an arithmetic number, because the mean of its divisors is an integer number (3938174988300).

Almost surely, 2106550050050301 is an apocalyptic number.

106550050050301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106550050050301 is a deficient number, since it is larger than the sum of its proper divisors (19471549575299).

106550050050301 is a wasteful number, since it uses less digits than its factorization.

106550050050301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150957.

The product of its (nonzero) digits is 11250, while the sum is 31.

The spelling of 106550050050301 in words is "one hundred six trillion, five hundred fifty billion, fifty million, fifty thousand, three hundred one".

Divisors: 1 11 13 143 149 1639 1937 21307 49253 101531 541783 640289 1116841 1319903 7043179 7338697 14518933 15128119 80725667 95403061 166409309 196665547 1049433671 2163321017 5000706343 55007769773 65009182459 715101007049 745105245107 8196157696177 9686368186391 106550050050301