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61310210221 = 132418848349
BaseRepresentation
bin111001000110010111…
…111001000010101101
312212020210222101021201
4321012113321002231
52001030403211341
644055430325501
74300216121401
oct710627710255
9185223871251
1061310210221
1124002019427
12ba707b9891
135a2102b600
142d788b1101
1518dc7ad331
hexe465f90ad

61310210221 has 12 divisors (see below), whose sum is σ = 68008418100. Its totient is φ = 55213691520.

The previous prime is 61310210197. The next prime is 61310210257. The reversal of 61310210221 is 12201201316.

It can be written as a sum of positive squares in 6 ways, for example, as 21235775625 + 40074434596 = 145725^2 + 200186^2 .

It is a de Polignac number, because none of the positive numbers 2k-61310210221 is a prime.

It is a super-3 number, since 3×613102102213 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61310210281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4417246 + ... + 4431103.

It is an arithmetic number, because the mean of its divisors is an integer number (5667368175).

Almost surely, 261310210221 is an apocalyptic number.

It is an amenable number.

61310210221 is a deficient number, since it is larger than the sum of its proper divisors (6698207879).

61310210221 is a wasteful number, since it uses less digits than its factorization.

61310210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8848416 (or 8848403 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 61310210221 its reverse (12201201316), we get a palindrome (73511411537).

The spelling of 61310210221 in words is "sixty-one billion, three hundred ten million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 13 41 169 533 6929 8848349 115028537 362782309 1495370981 4716170017 61310210221