Search a number
-
+
10050001006100 = 22521136979247069
BaseRepresentation
bin1001001000111111001010…
…1111010110111000010100
31022120202210211221112120012
42102033302233112320110
52304124400224143400
633212523504055352
72055042252030266
oct222176257267024
938522724845505
1010050001006100
1132251aa623a60
121163911004558
1357b93218b173
1426a5cba41b36
15126654935d35
hex923f2bd6e14

10050001006100 has 72 divisors (see below), whose sum is σ = 23791832954400. Its totient is φ = 3654432201600.

The previous prime is 10050001006079. The next prime is 10050001006117. The reversal of 10050001006100 is 160010005001.

It is a super-2 number, since 2×100500010061002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 40553366 + ... + 40800434.

Almost surely, 210050001006100 is an apocalyptic number.

10050001006100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10050001006100 is an abundant number, since it is smaller than the sum of its proper divisors (13741831948300).

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

10050001006100 is a wasteful number, since it uses less digits than its factorization.

10050001006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284073 (or 284066 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The spelling of 10050001006100 in words is "ten trillion, fifty billion, one million, six thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 36979 73958 147916 184895 247069 369790 406769 494138 739580 813538 924475 988276 1235345 1627076 1848950 2033845 2470690 2717759 3697900 4067690 4941380 5435518 6176725 8135380 10169225 10871036 12353450 13588795 20338450 24706900 27177590 40676900 54355180 67943975 135887950 271775900 9136364551 18272729102 36545458204 45681822755 91363645510 100500010061 182727291020 201000020122 228409113775 402000040244 456818227550 502500050305 913636455100 1005000100610 2010000201220 2512500251525 5025000503050 10050001006100