[go: up one dir, main page]

Search a number
-
+
1020103110 = 232513871883
BaseRepresentation
bin111100110011011…
…000100111000110
32122002111121101200
4330303120213012
54042121244420
6245120203330
734164506355
oct7463304706
92562447350
101020103110
11483904624
12245769546
13133458510
14996a199c
155e852b90
hex3ccd89c6

1020103110 has 48 divisors (see below), whose sum is σ = 2856291984. Its totient is φ = 251102016.

The previous prime is 1020103067. The next prime is 1020103127. The reversal of 1020103110 is 113010201.

It is a super-2 number, since 2×10201031102 = 2081220710063344200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020103092 and 1020103101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434772 + ... + 437111.

It is an arithmetic number, because the mean of its divisors is an integer number (59506083).

Almost surely, 21020103110 is an apocalyptic number.

1020103110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020103110 is an abundant number, since it is smaller than the sum of its proper divisors (1836188874).

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

1020103110 is a wasteful number, since it uses less digits than its factorization.

1020103110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871909 (or 871906 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1020103110 is about 31939.0530542156. The cubic root of 1020103110 is about 1006.6566276550.

Adding to 1020103110 its reverse (113010201), we get a palindrome (1133113311).

The spelling of 1020103110 in words is "one billion, twenty million, one hundred three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 871883 1743766 2615649 4359415 5231298 7846947 8718830 11334479 13078245 15693894 22668958 26156490 34003437 39234735 56672395 68006874 78469470 102010311 113344790 170017185 204020622 340034370 510051555 1020103110