Search a number
-
+
100100611010050 = 25272109374838461
BaseRepresentation
bin10110110000101001111101…
…010111000110111000000010
3111010102112011200200101202021
4112300221331113012320002
5101110022022404310200
6552521330313512054
730041013312464200
oct2660517527067002
9433375150611667
10100100611010050
1129993481330162
12b28820411262a
1343b15a74077a1
141aa0c77084070
15b88ca749e41a
hex5b0a7d5c6e02

100100611010050 has 72 divisors (see below), whose sum is σ = 218572055576820. Its totient is φ = 34005345091200.

The previous prime is 100100611009991. The next prime is 100100611010053. The reversal of 100100611010050 is 50010116001001.

It can be written as a sum of positive squares in 6 ways, for example, as 52494792318241 + 47605818691809 = 7245329^2 + 6899697^2 .

It is not an unprimeable number, because it can be changed into a prime (100100611010053) 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 35 ways as a sum of consecutive naturals, for example, 187152181 + ... + 187686280.

Almost surely, 2100100611010050 is an apocalyptic number.

100100611010050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100611010050 is an abundant number, since it is smaller than the sum of its proper divisors (118471444566770).

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

100100611010050 is a wasteful number, since it uses less digits than its factorization.

100100611010050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374838596 (or 374838584 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 100100611010050 its reverse (50010116001001), we get a palindrome (150110727011051).

The spelling of 100100611010050 in words is "one hundred trillion, one hundred billion, six hundred eleven million, ten thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 109 175 218 245 350 490 545 763 1090 1225 1526 2450 2725 3815 5341 5450 7630 10682 19075 26705 38150 53410 133525 267050 374838461 749676922 1874192305 2623869227 3748384610 5247738454 9370961525 13119346135 18367084589 18741923050 26238692270 36734169178 40857392249 65596730675 81714784498 91835422945 131193461350 183670845890 204286961245 286001745743 408573922490 459177114725 572003491486 918354229450 1021434806225 1430008728715 2002012220201 2042869612450 2860017457430 4004024440402 7150043643575 10010061101005 14300087287150 20020122202010 50050305505025 100100611010050