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53101312 = 2811109173
BaseRepresentation
bin1100101010010…
…0001100000000
310200220211022021
43022210030000
5102043220222
65134051224
71213232215
oct312441400
9120824267
1053101312
1127a79890
1215949b14
13b002bc4
1470a3b0c
1549ddac7
hex32a4300

53101312 has 72 divisors (see below), whose sum is σ = 117366480. Its totient is φ = 23777280.

The previous prime is 53101267. The next prime is 53101313. The reversal of 53101312 is 21310135.

It is a super-2 number, since 2×531013122 = 5639498672242688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (53101313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306858 + ... + 307030.

It is an arithmetic number, because the mean of its divisors is an integer number (1630090).

Almost surely, 253101312 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 53101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58683240).

53101312 is an abundant number, since it is smaller than the sum of its proper divisors (64265168).

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

53101312 is a wasteful number, since it uses less digits than its factorization.

53101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 53101312 is about 7287.0647039806. The cubic root of 53101312 is about 375.8677669915.

Adding to 53101312 its reverse (21310135), we get a palindrome (74411447).

The spelling of 53101312 in words is "fifty-three million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 109 128 173 176 218 256 346 352 436 692 704 872 1199 1384 1408 1744 1903 2398 2768 2816 3488 3806 4796 5536 6976 7612 9592 11072 13952 15224 18857 19184 22144 27904 30448 37714 38368 44288 60896 75428 76736 121792 150856 153472 207427 243584 301712 306944 414854 487168 603424 829708 1206848 1659416 2413696 3318832 4827392 6637664 13275328 26550656 53101312