Search a number
-
+
1003100113230 = 235436731155419
BaseRepresentation
bin11101001100011010110…
…11010000100101001110
310112220011202211111100120
432212031123100211032
5112413322112110410
62044452352405410
7132320520165015
oct16461533204516
93486152744316
101003100113230
11357459954946
121424a8246866
1373790633277
143679c06da7c
151b15d9d3570
hexe98d6d094e

1003100113230 has 64 divisors (see below), whose sum is σ = 2467089757440. Its totient is φ = 260884141056.

The previous prime is 1003100113199. The next prime is 1003100113231. The reversal of 1003100113230 is 323110013001.

1003100113230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003100113231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290461 + ... + 1445879.

It is an arithmetic number, because the mean of its divisors is an integer number (38548277460).

Almost surely, 21003100113230 is an apocalyptic number.

1003100113230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003100113230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233544878720).

1003100113230 is an abundant number, since it is smaller than the sum of its proper divisors (1463989644210).

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

1003100113230 is a wasteful number, since it uses less digits than its factorization.

1003100113230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156145.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1003100113230 its reverse (323110013001), we get a palindrome (1326210126231).

The spelling of 1003100113230 in words is "one trillion, three billion, one hundred million, one hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 673 1290 1346 2019 3365 4038 6730 10095 20190 28939 57878 86817 144695 173634 289390 434085 868170 1155419 2310838 3466257 5777095 6932514 11554190 17331285 34662570 49683017 99366034 149049051 248415085 298098102 496830170 745245255 777596987 1490490510 1555193974 2332790961 3887984935 4665581922 7775969870 11663954805 23327909610 33436670441 66873340882 100310011323 167183352205 200620022646 334366704410 501550056615 1003100113230