Search a number
-
+
106042320050 = 25237411398053
BaseRepresentation
bin110001011000010011…
…1010110010010110010
3101010201021100000010012
41202300213112102302
53214133313220200
6120414250534522
710442553563642
oct1426047262262
9333637300105
10106042320050
1140a77141637
1218675437442
139ccc5a5054
1451bd728522
152b59931a35
hex18b09d64b2

106042320050 has 48 divisors (see below), whose sum is σ = 207510359112. Its totient is φ = 40263897600.

The previous prime is 106042320049. The next prime is 106042320067. The reversal of 106042320050 is 50023240601.

It can be written as a sum of positive squares in 12 ways, for example, as 13551520921 + 92490799129 = 116411^2 + 304123^2 .

It is a super-2 number, since 2×1060423200502 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106042319998 and 106042320025.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 623177 + ... + 774876.

Almost surely, 2106042320050 is an apocalyptic number.

106042320050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106042320050 is a deficient number, since it is larger than the sum of its proper divisors (101468039062).

106042320050 is a wasteful number, since it uses less digits than its factorization.

106042320050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398143 (or 1398138 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 106042320050 its reverse (50023240601), we get a palindrome (156065560651).

The spelling of 106042320050 in words is "one hundred six billion, forty-two million, three hundred twenty thousand, fifty".

Divisors: 1 2 5 10 25 37 41 50 74 82 185 205 370 410 925 1025 1517 1850 2050 3034 7585 15170 37925 75850 1398053 2796106 6990265 13980530 34951325 51727961 57320173 69902650 103455922 114640346 258639805 286600865 517279610 573201730 1293199025 1433004325 2120846401 2586398050 2866008650 4241692802 10604232005 21208464010 53021160025 106042320050