Search a number
-
+
10051066100 = 2252100510661
BaseRepresentation
bin10010101110001011…
…10001100011110100
3221221110212001122102
421113011301203310
5131041033103400
64341205121232
7504034436465
oct112705614364
927843761572
1010051066100
1142986237a9
121b460b9218
13c42459bba
146b4c56d6c
153dc5e89d5
hex2571718f4

10051066100 has 18 divisors (see below), whose sum is σ = 21810813654. Its totient is φ = 4020426400.

The previous prime is 10051066099. The next prime is 10051066133. The reversal of 10051066100 is 166015001.

It is a happy number.

10051066100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3028961296 + 7022104804 = 55036^2 + 83798^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 50255231 + ... + 50255430.

Almost surely, 210051066100 is an apocalyptic number.

10051066100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10051066100 is an abundant number, since it is smaller than the sum of its proper divisors (11759747554).

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

10051066100 is a wasteful number, since it uses less digits than its factorization.

10051066100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100510675 (or 100510668 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 10051066100 in words is "ten billion, fifty-one million, sixty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 100510661 201021322 402042644 502553305 1005106610 2010213220 2512766525 5025533050 10051066100