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61303010601 = 37223311015791
BaseRepresentation
bin111001000101111100…
…011011010100101001
312212020022102121021010
4321011330123110221
52001022032314401
644055012134133
74300100664300
oct710574332451
9185208377233
1061303010601
1123aa8a51228
12ba6a307349
135a1c6aa591
142d77959437
1518dbd39ed6
hexe45f1b529

61303010601 has 96 divisors (see below), whose sum is σ = 103448641536. Its totient is φ = 32099760000.

The previous prime is 61303010563. The next prime is 61303010611. The reversal of 61303010601 is 10601030316.

It is not a de Polignac number, because 61303010601 - 27 = 61303010473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (61303010611) 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 95 ways as a sum of consecutive naturals, for example, 10583016 + ... + 10588806.

It is an arithmetic number, because the mean of its divisors is an integer number (1077590016).

Almost surely, 261303010601 is an apocalyptic number.

It is an amenable number.

61303010601 is a deficient number, since it is larger than the sum of its proper divisors (42145630935).

61303010601 is a wasteful number, since it uses less digits than its factorization.

61303010601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5963 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 61303010601 its reverse (10601030316), we get a palindrome (71904040917).

The spelling of 61303010601 in words is "sixty-one billion, three hundred three million, ten thousand, six hundred one".

Divisors: 1 3 7 21 23 31 49 69 93 101 147 161 217 303 483 651 707 713 1127 1519 2121 2139 2323 3131 3381 4557 4949 4991 5791 6969 9393 14847 14973 16261 17373 21917 34937 40537 48783 65751 72013 104811 113827 121611 133193 153419 179521 216039 283759 341481 399579 460257 504091 538563 584891 851277 932351 1256647 1512273 1754673 2797053 3528637 3769941 4094237 4128983 6526457 8796529 10585911 12282711 12386949 13452493 18131621 19579371 26389587 28659659 28902881 40357479 54394863 85978977 86708643 94167451 126921347 202320167 282502353 380764041 417027283 606960501 659172157 888449429 1251081849 1977516471 2665348287 2919190981 8757572943 20434336867 61303010601