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12522153231 = 337118755817
BaseRepresentation
bin10111010100110000…
…01110010100001111
31012022200122021221000
423222120032110033
5201121132400411
65430321111343
7622211355240
oct135230162417
935280567830
1012522153231
11534647a075
122515788553
1312473a5133
1486b0dccc7
154d4512956
hex2ea60e50f

12522153231 has 32 divisors (see below), whose sum is σ = 21219770880. Its totient is φ = 7149359808.

The previous prime is 12522153229. The next prime is 12522153257. The reversal of 12522153231 is 13235122521.

12522153231 is a `hidden beast` number, since 125 + 2 + 2 + 1 + 532 + 3 + 1 = 666.

12522153231 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 12522153231 - 21 = 12522153229 is a prime.

It is a super-2 number, since 2×125221532312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12522153195 and 12522153204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12522153731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196435 + ... + 252251.

It is an arithmetic number, because the mean of its divisors is an integer number (663117840).

Almost surely, 212522153231 is an apocalyptic number.

12522153231 is a deficient number, since it is larger than the sum of its proper divisors (8697617649).

12522153231 is a wasteful number, since it uses less digits than its factorization.

12522153231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57020 (or 57014 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

Adding to 12522153231 its reverse (13235122521), we get a palindrome (25757275752).

The spelling of 12522153231 in words is "twelve billion, five hundred twenty-two million, one hundred fifty-three thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 1187 3561 8309 10683 24927 32049 55817 74781 167451 224343 390719 502353 1172157 1507059 3516471 10549413 66254779 198764337 463783453 596293011 1391350359 1788879033 4174051077 12522153231