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103031132232 = 23372229382583
BaseRepresentation
bin101111111110100100…
…0100101000001001000
3100211221102020210222110
41133331020211001020
53142001432212412
6115155402422320
710305131113500
oct1377510450110
9324842223873
10103031132232
113a77142a666
1217b74b019a0
13993c7a4402
144db584ca00
152a303ccd3c
hex17fd225048

103031132232 has 96 divisors (see below), whose sum is σ = 300940574400. Its totient is φ = 29308841856.

The previous prime is 103031132207. The next prime is 103031132233. The reversal of 103031132232 is 232231130301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 103031132199 and 103031132208.

It is not an unprimeable number, because it can be changed into a prime (103031132233) 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 23 ways as a sum of consecutive naturals, for example, 78013 + ... + 460595.

It is an arithmetic number, because the mean of its divisors is an integer number (3134797650).

Almost surely, 2103031132232 is an apocalyptic number.

103031132232 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 103031132232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150470287200).

103031132232 is an abundant number, since it is smaller than the sum of its proper divisors (197909442168).

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

103031132232 is a wasteful number, since it uses less digits than its factorization.

103031132232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382835 (or 382824 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103031132232 its reverse (232231130301), we get a palindrome (335262262533).

The spelling of 103031132232 in words is "one hundred three billion, thirty-one million, one hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 229 294 392 458 588 687 916 1176 1374 1603 1832 2748 3206 4809 5496 6412 9618 11221 12824 19236 22442 33663 38472 44884 67326 89768 134652 269304 382583 765166 1147749 1530332 2295498 2678081 3060664 4590996 5356162 8034243 9181992 10712324 16068486 18746567 21424648 32136972 37493134 56239701 64273944 74986268 87611507 112479402 149972536 175223014 224958804 262834521 350446028 449917608 525669042 613280549 700892056 1051338084 1226561098 1839841647 2102676168 2453122196 3679683294 4292963843 4906244392 7359366588 8585927686 12878891529 14718733176 17171855372 25757783058 34343710744 51515566116 103031132232