Search a number
-
+
10310105536 = 2610311313841
BaseRepresentation
bin10011001101000011…
…11011100111000000
3222121112021121221121
421212201323213000
5132103341334121
64423021202024
7513331310503
oct114641734700
928545247847
1010310105536
114410870985
121bb8a00314
13c84015b83
146db40713a
15405216141
hex26687b9c0

10310105536 has 56 divisors (see below), whose sum is σ = 20842065504. Its totient is φ = 5059461120.

The previous prime is 10310105521. The next prime is 10310105569. The reversal of 10310105536 is 63550101301.

It is a self number, because there is not a number n which added to its sum of digits gives 10310105536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 737976 + ... + 751816.

Almost surely, 210310105536 is an apocalyptic number.

10310105536 is a gapful number since it is divisible by the number (16) 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 10310105536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10421032752).

10310105536 is an abundant number, since it is smaller than the sum of its proper divisors (10531959968).

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

10310105536 is a wasteful number, since it uses less digits than its factorization.

10310105536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14069 (or 14059 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

Adding to 10310105536 its reverse (63550101301), we get a palindrome (73860206837).

The spelling of 10310105536 in words is "ten billion, three hundred ten million, one hundred five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 103 113 206 226 412 452 824 904 1648 1808 3296 3616 6592 7232 11639 13841 23278 27682 46556 55364 93112 110728 186224 221456 372448 442912 744896 885824 1425623 1564033 2851246 3128066 5702492 6256132 11404984 12512264 22809968 25024528 45619936 50049056 91239872 100098112 161095399 322190798 644381596 1288763192 2577526384 5155052768 10310105536