Search a number
-
+
10050066100 = 2252100500661
BaseRepresentation
bin10010101110000011…
…11101011010110100
3221221101222020220101
421113001331122310
5131040304103400
64341131443444
7504023103154
oct112701753264
927841866811
1010050066100
114298000458
121b458b6584
13c42199999
146b4a76764
153dc49c56a
hex25707d6b4

10050066100 has 18 divisors (see below), whose sum is σ = 21808643654. Its totient is φ = 4020026400.

The previous prime is 10050066073. The next prime is 10050066101. The reversal of 10050066100 is 166005001.

It can be written as a sum of positive squares in 3 ways, for example, as 3612250404 + 6437815696 = 60102^2 + 80236^2 .

It is a super-2 number, since 2×100500661002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10050066101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50250231 + ... + 50250430.

Almost surely, 210050066100 is an apocalyptic number.

10050066100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10050066100 is an abundant number, since it is smaller than the sum of its proper divisors (11758577554).

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

10050066100 is a wasteful number, since it uses less digits than its factorization.

10050066100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100500675 (or 100500668 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The spelling of 10050066100 in words is "ten billion, fifty million, sixty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 100500661 201001322 402002644 502503305 1005006610 2010013220 2512516525 5025033050 10050066100