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51107112 = 2334719593
BaseRepresentation
bin1100001011110…
…1010100101000
310120011111210000
43002331110220
5101040411422
65023223000
71160255220
oct302752450
9116144700
1051107112
1126937591
1215147a60
13a7852c4
146b05080
154747cac
hex30bd528

51107112 has 160 divisors (see below), whose sum is σ = 172497600. Its totient is φ = 13810176.

The previous prime is 51107107. The next prime is 51107113. The reversal of 51107112 is 21170115.

It is a happy number.

It is a super-2 number, since 2×511071122 = 5223873793961088, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (51107113) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85888 + ... + 86480.

It is an arithmetic number, because the mean of its divisors is an integer number (1078110).

Almost surely, 251107112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51107112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86248800).

51107112 is an abundant number, since it is smaller than the sum of its proper divisors (121390488).

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

51107112 is a wasteful number, since it uses less digits than its factorization.

51107112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 51107112 is about 7148.9238350957. The cubic root of 51107112 is about 371.1024145542.

Adding to 51107112 its reverse (21170115), we get a palindrome (72277227).

The spelling of 51107112 in words is "fifty-one million, one hundred seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 593 648 684 756 798 1026 1064 1134 1186 1197 1368 1512 1539 1596 1779 2052 2268 2372 2394 3078 3192 3558 3591 4104 4151 4536 4744 4788 5337 6156 7116 7182 8302 9576 10674 10773 11267 12312 12453 14232 14364 16011 16604 21348 21546 22534 24906 28728 32022 33208 33801 37359 42696 43092 45068 48033 49812 64044 67602 74718 78869 86184 90136 96066 99624 101403 112077 128088 135204 149436 157738 192132 202806 224154 236607 270408 298872 304209 315476 336231 384264 405612 448308 473214 608418 630952 672462 709821 811224 896616 912627 946428 1216836 1344924 1419642 1825254 1892856 2129463 2433672 2689848 2839284 3650508 4258926 5678568 6388389 7301016 8517852 12776778 17035704 25553556 51107112