Search a number
51106100 = 2252511061
BaseRepresentation
bin1100001011110…
…1000100110100
310120011110101112
43002331010310
5101040343400
65023214152
71160252243
oct302750464
9116143345
1051106100
1126936851
1215147358
13a7849c6
146b0495a
154747835
hex30bd134

51106100 has 18 divisors (see below), whose sum is σ = 110900454. Its totient is φ = 20442400.

The previous prime is 51106093. The next prime is 51106117. The reversal of 51106100 is 160115.

Adding to 51106100 its reverse (160115), we get a palindrome (51266215).

It can be written as a sum of positive squares in 3 ways, for example, as 1008016 + 50098084 = 1004^2 + 7078^2 .

It is a super-2 number, since 2×511061002 = 5223666914420000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255431 + ... + 255630.

Almost surely, 251106100 is an apocalyptic number.

51106100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51106100 is an abundant number, since it is smaller than the sum of its proper divisors (59794354).

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

51106100 is a wasteful number, since it uses less digits than its factorization.

51106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511075 (or 511068 counting only the distinct ones).

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

The square root of 51106100 is about 7148.8530548613. The cubic root of 51106100 is about 371.0999650704.

The spelling of 51106100 in words is "fifty-one million, one hundred six thousand, one hundred".