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106203050523 = 32712117731019
BaseRepresentation
bin110001011101000110…
…0011111001000011011
3101011010110202221212200
41202322030133020123
53220000440104043
6120442231541243
710446545014623
oct1427214371033
9334113687780
10106203050523
1141049942839
12186bb22a823
13a02699013b
1451d6c07883
152b68ad07d3
hex18ba31f21b

106203050523 has 48 divisors (see below), whose sum is σ = 156658095360. Its totient is φ = 69316027200.

The previous prime is 106203050501. The next prime is 106203050543. The reversal of 106203050523 is 325050302601.

106203050523 is a `hidden beast` number, since 1 + 0 + 62 + 0 + 30 + 50 + 523 = 666.

It is not a de Polignac number, because 106203050523 - 220 = 106202001947 is a prime.

It is a super-2 number, since 2×1062030505232 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106203050543) 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 47 ways as a sum of consecutive naturals, for example, 104222308 + ... + 104223326.

It is an arithmetic number, because the mean of its divisors is an integer number (3263710320).

Almost surely, 2106203050523 is an apocalyptic number.

106203050523 is a deficient number, since it is larger than the sum of its proper divisors (50455044837).

106203050523 is a wasteful number, since it uses less digits than its factorization.

106203050523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 106203050523 in words is "one hundred six billion, two hundred three million, fifty thousand, five hundred twenty-three".

Divisors: 1 3 9 71 211 213 633 639 773 1019 1899 2319 3057 6957 9171 14981 44943 54883 72349 134829 163103 164649 215009 217047 489309 493947 645027 651141 787687 1467927 1935081 2363061 7089183 11580313 15265639 34740939 45796917 55925777 104222817 137390751 166201957 167777331 498605871 503331993 1495817613 11800338947 35401016841 106203050523