Search a number
-
+
1111213000032 = 25398459117563
BaseRepresentation
bin10000001010111001011…
…101001100010101100000
310221020020100022012002020
4100022321131030111200
5121201231012000112
62210252331021440
7143165615440512
oct20127135142540
93836210265066
101111213000032
11399298850973
1215b43ab9a880
1380a2cb8c135
143bad6781bb2
151dd8a0b648c
hex102b974c560

1111213000032 has 48 divisors (see below), whose sum is σ = 2916988562880. Its totient is φ = 370397420672.

The previous prime is 1111212999961. The next prime is 1111213000039. The reversal of 1111213000032 is 2300003121111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1111212999975 and 1111213000020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111213000039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9393283 + ... + 9510845.

It is an arithmetic number, because the mean of its divisors is an integer number (60770595060).

Almost surely, 21111213000032 is an apocalyptic number.

1111213000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1111213000032 is an abundant number, since it is smaller than the sum of its proper divisors (1805775562848).

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

1111213000032 is a wasteful number, since it uses less digits than its factorization.

1111213000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216035 (or 216027 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1111213000032 its reverse (2300003121111), we get a palindrome (3411216121143).

The spelling of 1111213000032 in words is "one trillion, one hundred eleven billion, two hundred thirteen million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 98459 117563 196918 235126 295377 352689 393836 470252 590754 705378 787672 940504 1181508 1410756 1575344 1881008 2363016 2821512 3150688 3762016 4726032 5643024 9452064 11286048 11575135417 23150270834 34725406251 46300541668 69450812502 92601083336 138901625004 185202166672 277803250008 370404333344 555606500016 1111213000032