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51121134 = 23219236797
BaseRepresentation
bin1100001100000…
…0101111101110
310120012020000100
43003000233232
5101041334014
65023411530
71160344131
oct303005756
9116166010
1051121134
1126947079
1215153ba6
13a78b7bc
146b0a218
15474c009
hex30c0bee

51121134 has 96 divisors (see below), whose sum is σ = 124750080. Its totient is φ = 15054336.

The previous prime is 51121127. The next prime is 51121141. The reversal of 51121134 is 43112115.

51121134 is a `hidden beast` number, since 511 + 21 + 134 = 666.

51121134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51121127) and next prime (51121141).

It is a super-2 number, since 2×511211342 = 5226740682891912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526974 + ... + 527070.

It is an arithmetic number, because the mean of its divisors is an integer number (1299480).

Almost surely, 251121134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51121134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62375040).

51121134 is an abundant number, since it is smaller than the sum of its proper divisors (73628946).

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

51121134 is a wasteful number, since it uses less digits than its factorization.

51121134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 211 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 51121134 is about 7149.9044748864. The cubic root of 51121134 is about 371.1363506153.

Adding to 51121134 its reverse (43112115), we get a palindrome (94233249).

The spelling of 51121134 in words is "fifty-one million, one hundred twenty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 67 69 97 114 134 138 171 194 201 207 291 342 402 414 437 582 603 873 874 1206 1273 1311 1541 1746 1843 2231 2546 2622 3082 3686 3819 3933 4462 4623 5529 6499 6693 7638 7866 9246 11058 11457 12998 13386 13869 16587 19497 20079 22914 27738 29279 33174 38994 40158 42389 58491 58558 84778 87837 116982 123481 127167 149477 175674 246962 254334 263511 298954 370443 381501 448431 527022 740886 763002 896862 1111329 1345293 2222658 2690586 2840063 5680126 8520189 17040378 25560567 51121134