Search a number
-
+
10305141133332 = 22357714871000889
BaseRepresentation
bin1001010111110101101001…
…0001101101000000010100
31100111011101000002220200010
42111331122101231000110
52322314412112231312
633530041054320220
72112344001234603
oct225753221550024
940434330086603
1010305141133332
113313427573941
1211a5256ab9070
13599a0312bb56
14278ab2d8da3a
1512d0d8b3593c
hex95f5a46d014

10305141133332 has 48 divisors (see below), whose sum is σ = 24103224794880. Its totient is φ = 3426784284672.

The previous prime is 10305141133297. The next prime is 10305141133349. The reversal of 10305141133332 is 23333114150301.

It is a happy number.

It is a super-2 number, since 2×103051411333322 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10305141133332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9795544 + ... + 10796432.

It is an arithmetic number, because the mean of its divisors is an integer number (502150516560).

Almost surely, 210305141133332 is an apocalyptic number.

10305141133332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10305141133332 is an abundant number, since it is smaller than the sum of its proper divisors (13798083661548).

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

10305141133332 is a wasteful number, since it uses less digits than its factorization.

10305141133332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002960 (or 1002958 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 10305141133332 its reverse (23333114150301), we get a palindrome (33638255283633).

The spelling of 10305141133332 in words is "ten trillion, three hundred five billion, one hundred forty-one million, one hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 577 1154 1487 1731 2308 2974 3462 4461 5948 6924 8922 17844 857999 1000889 1715998 2001778 2573997 3002667 3431996 4003556 5147994 6005334 10295988 12010668 577512953 1155025906 1488321943 1732538859 2310051812 2976643886 3465077718 4464965829 5953287772 6930155436 8929931658 17859863316 858761761111 1717523522222 2576285283333 3435047044444 5152570566666 10305141133332