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61124060329 is a prime number
BaseRepresentation
bin111000111011010001…
…110010010010101001
312211202211200222122021
4320323101302102221
52000140224412304
644025140424441
74262465640343
oct707321622251
9184684628567
1061124060329
1123a16a36242
12ba1a3a8121
1359c15b3447
142d5bc96293
1518cb28ca54
hexe3b4724a9

61124060329 has 2 divisors, whose sum is σ = 61124060330. Its totient is φ = 61124060328.

The previous prime is 61124060267. The next prime is 61124060341. The reversal of 61124060329 is 92306042116.

It is a happy number.

61124060329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50339653225 + 10784407104 = 224365^2 + 103848^2 .

It is a cyclic number.

It is not a de Polignac number, because 61124060329 - 213 = 61124052137 is a prime.

It is a super-2 number, since 2×611240603292 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61124060294 and 61124060303.

It is not a weakly prime, because it can be changed into another prime (61124060369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30562030164 + 30562030165.

It is an arithmetic number, because the mean of its divisors is an integer number (30562030165).

Almost surely, 261124060329 is an apocalyptic number.

It is an amenable number.

61124060329 is a deficient number, since it is larger than the sum of its proper divisors (1).

61124060329 is an equidigital number, since it uses as much as digits as its factorization.

61124060329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 61124060329 in words is "sixty-one billion, one hundred twenty-four million, sixty thousand, three hundred twenty-nine".