Search a number
-
+
51151100 = 225272111373
BaseRepresentation
bin1100001100100…
…0000011111100
310120020202010012
43003020003330
5101043313400
65024202352
71160530400
oct303100374
9116222105
1051151100
1126967640
12151693b8
13a79c330
146b17100
154755d35
hex30c80fc

51151100 has 216 divisors, whose sum is σ = 153771408. Its totient is φ = 14515200.

The previous prime is 51151091. The next prime is 51151109. The reversal of 51151100 is 115115.

It is an interprime number because it is at equal distance from previous prime (51151091) and next prime (51151109).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51151109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 700664 + ... + 700736.

Almost surely, 251151100 is an apocalyptic number.

51151100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51151100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76885704).

51151100 is an abundant number, since it is smaller than the sum of its proper divisors (102620308).

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

51151100 is a wasteful number, since it uses less digits than its factorization.

51151100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 14.

The square root of 51151100 is about 7151.9997203579. Note that the first 3 decimals coincide. The cubic root of 51151100 is about 371.2088535684.

Adding to 51151100 its reverse (115115), we get a palindrome (51266215).

It can be divided in two parts, 511 and 51100, that multiplied together give a square (26112100 = 51102).

The spelling of 51151100 in words is "fifty-one million, one hundred fifty-one thousand, one hundred".