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53131122 = 23211536183
BaseRepresentation
bin1100101010101…
…1011101110010
310200222100012100
43022223131302
5102100143442
65134441230
71213415142
oct312533562
9120870170
1053131122
1127a9a220
1215963216
13b013645
1470b0922
1549e784c
hex32ab772

53131122 has 96 divisors (see below), whose sum is σ = 131616576. Its totient is φ = 15350400.

The previous prime is 53131109. The next prime is 53131123. The reversal of 53131122 is 22113135.

It is a super-2 number, since 2×531311222 = 5645832249957768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 53131095 and 53131104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53131123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 640093 + ... + 640175.

It is an arithmetic number, because the mean of its divisors is an integer number (1371006).

Almost surely, 253131122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53131122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65808288).

53131122 is an abundant number, since it is smaller than the sum of its proper divisors (78485454).

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

53131122 is a wasteful number, since it uses less digits than its factorization.

53131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 213 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 53131122 is about 7289.1098221937. The cubic root of 53131122 is about 375.9380886822.

Adding to 53131122 its reverse (22113135), we get a palindrome (75244257).

The spelling of 53131122 in words is "fifty-three million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 53 61 66 83 99 106 122 159 166 183 198 249 318 366 477 498 549 583 671 747 913 954 1098 1166 1342 1494 1749 1826 2013 2739 3233 3498 4026 4399 5063 5247 5478 6039 6466 8217 8798 9699 10126 10494 12078 13197 15189 16434 19398 26394 29097 30378 35563 39591 45567 48389 55693 58194 71126 79182 91134 96778 106689 111386 145167 167079 213378 268339 290334 320067 334158 435501 501237 536678 640134 805017 871002 1002474 1610034 2415051 2951729 4830102 5903458 8855187 17710374 26565561 53131122