Search a number
-
+
101030000313 = 31137435336307
BaseRepresentation
bin101111000010111011…
…0110111011010111001
3100122202221202210001110
41132011312313122321
53123402140002223
6114225035310533
710204421555604
oct1360566673271
9318687683043
10101030000313
113993488a630
12176b68ab449
1396b1021a98
144c65b7b33b
152964894d93
hex1785db76b9

101030000313 has 64 divisors (see below), whose sum is σ = 157352481792. Its totient is φ = 57090458880.

The previous prime is 101030000263. The next prime is 101030000317. The reversal of 101030000313 is 313000030101.

It is not a de Polignac number, because 101030000313 - 26 = 101030000249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101030000317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2764506 + ... + 2800812.

It is an arithmetic number, because the mean of its divisors is an integer number (2458632528).

Almost surely, 2101030000313 is an apocalyptic number.

It is an amenable number.

101030000313 is a deficient number, since it is larger than the sum of its proper divisors (56322481479).

101030000313 is a wasteful number, since it uses less digits than its factorization.

101030000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36454.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 101030000313 its reverse (313000030101), we get a palindrome (414030030414).

The spelling of 101030000313 in words is "one hundred one billion, thirty million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 3 11 33 37 43 53 111 129 159 407 473 583 1221 1419 1591 1749 1961 2279 4773 5883 6837 17501 21571 25069 36307 52503 64713 75207 84323 108921 252969 399377 927553 1198131 1343359 1561201 1924271 2782659 4030077 4683603 5772813 14776949 17173211 21166981 44330847 51519633 57764437 63500943 71198027 82743653 173293311 213594081 248230959 635408807 783178297 910180183 1906226421 2349534891 2730540549 3061515161 9184545483 33676666771 101030000313