Search a number
-
+
62131046121 = 3219243732
BaseRepresentation
bin111001110111010011…
…001000011011101001
312221101000112011110100
4321313103020123221
52004221021433441
644313111540013
74326444115104
oct716723103351
9187330464410
1062131046121
11243933a0601
121005b68a609
135b220c8221
14301590173b
15193989dcb6
hexe774c86e9

62131046121 has 27 divisors (see below), whose sum is σ = 94738522359. Its totient is φ = 39231687312.

The previous prime is 62131046101. The next prime is 62131046141. The reversal of 62131046121 is 12164013126.

It is a happy number.

The square root of 62131046121 is 249261.

It is a perfect power (a square), and thus also a powerful number.

62131046121 is a `hidden beast` number, since 621 + 3 + 10 + 4 + 6 + 1 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (62131046101) and next prime (62131046141).

It can be written as a sum of positive squares in only one way, i.e., 35703992025 + 26427054096 = 188955^2 + 162564^2 .

It is not a de Polignac number, because 62131046121 - 27 = 62131045993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (62131046101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14205691 + ... + 14210063.

Almost surely, 262131046121 is an apocalyptic number.

62131046121 is the 249261-st square number.

62131046121 is the 124631-st centered octagonal number.

It is an amenable number.

62131046121 is a deficient number, since it is larger than the sum of its proper divisors (32607476238).

62131046121 is an frugal number, since it uses more digits than its factorization.

62131046121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8790 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 62131046121 its reverse (12164013126), we get a palindrome (74295059247).

The spelling of 62131046121 in words is "sixty-two billion, one hundred thirty-one million, forty-six thousand, one hundred twenty-one".

Divisors: 1 3 9 19 57 171 361 1083 3249 4373 13119 39357 83087 249261 747783 1578653 4735959 14207877 19123129 57369387 172108161 363339451 1090018353 3270055059 6903449569 20710348707 62131046121