Search a number
-
+
1111312002132 = 223273592771347
BaseRepresentation
bin10000001010111111010…
…110110110110001010100
310221020111020121000102200
4100022333112312301110
5121201431333032012
62210310225004500
7143201230105413
oct20127726666124
93836436530380
101111312002132
11399339720692
1215b468183730
1380a47543667
143bb0599347a
151dd93b203dc
hex102bf5b6c54

1111312002132 has 72 divisors (see below), whose sum is σ = 2848151656896. Its totient is φ = 365296086144.

The previous prime is 1111312002089. The next prime is 1111312002179. The reversal of 1111312002132 is 2312002131111.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 15540483 + ... + 15611829.

Almost surely, 21111312002132 is an apocalyptic number.

1111312002132 is a gapful number since it is divisible by the number (12) 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 1111312002132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424075828448).

1111312002132 is an abundant number, since it is smaller than the sum of its proper divisors (1736839654764).

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

1111312002132 is a wasteful number, since it uses less digits than its factorization.

1111312002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77357 (or 77352 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1111312002132 its reverse (2312002131111), we get a palindrome (3423314133243).

The spelling of 1111312002132 in words is "one trillion, one hundred eleven billion, three hundred twelve million, two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 5927 11854 17781 23708 35562 53343 71124 71347 106686 142694 213372 214041 285388 428082 432671 642123 856164 865342 1284246 1298013 1730684 2568492 2596026 3894039 5192052 5208331 7788078 10416662 15576156 15624993 20833324 31249986 46874979 62499972 93749958 187499916 422873669 845747338 1268621007 1691494676 2537242014 3805863021 5074484028 7611726042 15223452084 30869777837 61739555674 92609333511 123479111348 185218667022 277828000533 370437334044 555656001066 1111312002132