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100006055050 = 252112316214877
BaseRepresentation
bin101110100100011010…
…0110100110010001010
3100120010121000222012211
41131020310310302022
53114303022230200
6113535300455334
710140146304466
oct1351064646212
9316117028184
10100006055050
11394598a1380
121746b9aa54a
139579b4c805
144ba9b994a6
152904a33aba
hex1748d34c8a

100006055050 has 96 divisors (see below), whose sum is σ = 211918114944. Its totient is φ = 34756128000.

The previous prime is 100006054961. The next prime is 100006055059. The reversal of 100006055050 is 50550600001.

It is a super-2 number, since 2×1000060550502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (100006055059) 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 47 ways as a sum of consecutive naturals, for example, 20503212 + ... + 20508088.

It is an arithmetic number, because the mean of its divisors is an integer number (2207480364).

Almost surely, 2100006055050 is an apocalyptic number.

100006055050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100006055050 is an abundant number, since it is smaller than the sum of its proper divisors (111912059894).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100006055050 is a wasteful number, since it uses less digits than its factorization.

100006055050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6544 (or 6539 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

Adding to 100006055050 its reverse (50550600001), we get a palindrome (150556655051).

The spelling of 100006055050 in words is "one hundred billion, six million, fifty-five thousand, fifty".

Divisors: 1 2 5 10 11 22 23 25 46 50 55 110 115 230 253 275 506 550 575 1150 1265 1621 2530 3242 4877 6325 8105 9754 12650 16210 17831 24385 35662 37283 40525 48770 53647 74566 81050 89155 107294 112171 121925 178310 186415 224342 243850 268235 372830 410113 445775 536470 560855 820226 891550 932075 1121710 1233881 1341175 1864150 2050565 2467762 2682350 2804275 4101130 5608550 6169405 7905617 10252825 12338810 15811234 20505650 30847025 39528085 61694050 79056170 86961787 173923574 181829191 197640425 363658382 395280850 434808935 869617870 909145955 1818291910 2000121101 2174044675 4000242202 4348089350 4545729775 9091459550 10000605505 20001211010 50003027525 100006055050