Search a number
-
+
12253031452131 = 3314328511074719
BaseRepresentation
bin1011001001001110000110…
…0101100100110111100011
31121101101012211101200110120
42302103201211210313203
53101223202022432011
642020544232131323
72403152353612101
oct262234145446743
947341184350416
1012253031452131
1139a4532900998
12145a877536b43
136ab5c0825c22
1430509ac62c71
15163ae1e42a06
hexb24e1964de3

12253031452131 has 32 divisors (see below), whose sum is σ = 17262651310080. Its totient is φ = 7718624676000.

The previous prime is 12253031452117. The next prime is 12253031452147. The reversal of 12253031452131 is 13125413035221.

It is a happy number.

12253031452131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12253031452131 - 25 = 12253031452099 is a prime.

It is a super-2 number, since 2×122530314521312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12253031452092 and 12253031452101.

It is not an unprimeable number, because it can be changed into a prime (12253031452171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10863790 + ... + 11938508.

It is an arithmetic number, because the mean of its divisors is an integer number (539457853440).

Almost surely, 212253031452131 is an apocalyptic number.

12253031452131 is a deficient number, since it is larger than the sum of its proper divisors (5009619857949).

12253031452131 is a wasteful number, since it uses less digits than its factorization.

12253031452131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077647.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 12253031452131 its reverse (13125413035221), we get a palindrome (25378444487352).

The spelling of 12253031452131 in words is "twelve trillion, two hundred fifty-three billion, thirty-one million, four hundred fifty-two thousand, one hundred thirty-one".

Divisors: 1 3 31 43 93 129 1333 2851 3999 8553 88381 122593 265143 367779 1074719 3224157 3800383 11401149 33316289 46212917 99948867 138638751 1432600427 3064023869 4297801281 9192071607 94984739939 131753026367 284954219817 395259079101 4084343817377 12253031452131