Search a number
-
+
10315105540 = 2253141834889
BaseRepresentation
bin10011001101101010…
…00000010100000100
3222121212200122122221
421212311000110010
5132111131334130
64423320302124
7513421643665
oct114665002404
928555618587
1010315105540
114413676513
121bba611944
13c8507695c
146dbd4936c
154058a287a
hex266d40504

10315105540 has 96 divisors (see below), whose sum is σ = 23186580480. Its totient is φ = 3847833600.

The previous prime is 10315105531. The next prime is 10315105601. The reversal of 10315105540 is 4550151301.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2107416 + ... + 2112304.

It is an arithmetic number, because the mean of its divisors is an integer number (241526880).

Almost surely, 210315105540 is an apocalyptic number.

10315105540 is a gapful number since it is divisible by the number (10) 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 10315105540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11593290240).

10315105540 is an abundant number, since it is smaller than the sum of its proper divisors (12871474940).

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

10315105540 is a wasteful number, since it uses less digits than its factorization.

10315105540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 10315105540 its reverse (4550151301), we get a palindrome (14865256841).

The spelling of 10315105540 in words is "ten billion, three hundred fifteen million, one hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 41 62 82 83 124 155 164 166 205 310 332 410 415 620 820 830 1271 1660 2542 2573 3403 4889 5084 5146 6355 6806 9778 10292 12710 12865 13612 17015 19556 24445 25420 25730 34030 48890 51460 68060 97780 105493 151559 200449 210986 303118 400898 405787 421972 527465 606236 757795 801796 811574 1002245 1054930 1515590 1623148 2004490 2028935 2109860 3031180 4008980 4057870 6213919 8115740 12427838 12579397 16637267 24855676 25158794 31069595 33274534 50317588 62139190 62896985 66549068 83186335 124278380 125793970 166372670 251587940 332745340 515755277 1031510554 2063021108 2578776385 5157552770 10315105540