Search a number
-
+
52122404452131 = 33131925131137949
BaseRepresentation
bin10111101100111101100010…
…11001101111011100100011
320211112212000222120112212000
423312132301121233130203
523312433141014432011
6302504411350335043
713656501525540126
oct1366366131573443
9224485028515760
1052122404452131
1115675a95537512
125a1980795a483
132311177358940
14cc2a4889c3bd
15605c53c48356
hex2f67b166f723

52122404452131 has 64 divisors (see below), whose sum is σ = 87883750080000. Its totient is φ = 30266085456000.

The previous prime is 52122404452123. The next prime is 52122404452357. The reversal of 52122404452131 is 13125440422125.

52122404452131 is a `hidden beast` number, since 5 + 2 + 1 + 22 + 40 + 44 + 521 + 31 = 666.

It is not a de Polignac number, because 52122404452131 - 23 = 52122404452123 is a prime.

It is a super-2 number, since 2×521224044521312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52122404492131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13895056 + ... + 17242893.

It is an arithmetic number, because the mean of its divisors is an integer number (1373183595000).

Almost surely, 252122404452131 is an apocalyptic number.

52122404452131 is a deficient number, since it is larger than the sum of its proper divisors (35761345627869).

52122404452131 is a wasteful number, since it uses less digits than its factorization.

52122404452131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31138241 (or 31138235 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 52122404452131 its reverse (13125440422125), we get a palindrome (65247844874256).

The spelling of 52122404452131 in words is "fifty-two trillion, one hundred twenty-two billion, four hundred four million, four hundred fifty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 13 19 27 39 57 117 171 247 251 351 513 741 753 2223 2259 3263 4769 6669 6777 9789 14307 29367 42921 61997 88101 128763 185991 557973 1673919 31137949 93413847 280241541 404793337 591621031 840724623 1214380011 1774863093 3643140033 5324589279 7691073403 7815625199 10929420099 15973767837 23073220209 23446875597 69219660627 70340626791 101603127587 148496878781 207658981881 211021880373 304809382761 445490636343 914428148283 1336471909029 1930459424153 2743284444849 4009415727087 5791378272459 17374134817377 52122404452131