Search a number
-
+
5105061300 = 2235231354367
BaseRepresentation
bin1001100000100100…
…10000110110110100
3111011210001222120110
410300102100312310
540423343430200
62202323103020
7240336206433
oct46022206664
914153058513
105105061300
11218a746129
12ba5811a70
13634855041
1436600d11a
151ed2aab50
hex130490db4

5105061300 has 72 divisors (see below), whose sum is σ = 14818107136. Its totient is φ = 1356975360.

The previous prime is 5105061293. The next prime is 5105061319. The reversal of 5105061300 is 31605015.

It is a happy number.

It is a super-5 number, since 5×51050613005 (a number of 50 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66717 + ... + 121083.

Almost surely, 25105061300 is an apocalyptic number.

5105061300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105061300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7409053568).

5105061300 is an abundant number, since it is smaller than the sum of its proper divisors (9713045836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5105061300 is a wasteful number, since it uses less digits than its factorization.

5105061300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54697 (or 54690 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 5105061300 is about 71449.7116859124. The cubic root of 5105061300 is about 1721.8698454616.

Adding to 5105061300 its reverse (31605015), we get a palindrome (5136666315).

The spelling of 5105061300 in words is "five billion, one hundred five million, sixty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 313 626 939 1252 1565 1878 3130 3756 4695 6260 7825 9390 15650 18780 23475 31300 46950 54367 93900 108734 163101 217468 271835 326202 543670 652404 815505 1087340 1359175 1631010 2718350 3262020 4077525 5436700 8155050 16310100 17016871 34033742 51050613 68067484 85084355 102101226 170168710 204202452 255253065 340337420 425421775 510506130 850843550 1021012260 1276265325 1701687100 2552530650 5105061300