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103203202232 = 23133745758687
BaseRepresentation
bin110000000011101100…
…0111110010010111000
3100212101102000212122102
41200013120332102320
53142330004432412
6115224430442532
710312320513344
oct1400730762270
9325342025572
10103203202232
113a84a576379
1218002663448
13996932c990
144dd0640624
152a4056b8c2
hex180763e4b8

103203202232 has 64 divisors (see below), whose sum is σ = 214495249920. Its totient is φ = 46242690048.

The previous prime is 103203202229. The next prime is 103203202241. The reversal of 103203202232 is 232202302301.

103203202232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1729193 + ... + 1787879.

It is an arithmetic number, because the mean of its divisors is an integer number (3351488280).

Almost surely, 2103203202232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103203202232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107247624960).

103203202232 is an abundant number, since it is smaller than the sum of its proper divisors (111292047688).

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

103203202232 is a wasteful number, since it uses less digits than its factorization.

103203202232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59200 (or 59196 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 103203202232 its reverse (232202302301), we get a palindrome (335405504533).

The spelling of 103203202232 in words is "one hundred three billion, two hundred three million, two hundred two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 457 481 914 962 1828 1924 3656 3848 5941 11882 16909 23764 33818 47528 58687 67636 117374 135272 219817 234748 439634 469496 762931 879268 1525862 1758536 2171419 3051724 4342838 6103448 8685676 17371352 26819959 28228447 53639918 56456894 107279836 112913788 214559672 225827576 348659467 697318934 992338483 1394637868 1984676966 2789275736 3969353932 7938707864 12900400279 25800800558 51601601116 103203202232