Search a number
-
+
1031100213 = 3111353101449
BaseRepresentation
bin111101011101010…
…101011100110101
32122212012022120210
4331131111130311
54102430201323
6250152020033
734360131033
oct7535253465
92585168523
101031100213
1148a035940
12249391619
13135808b90
149ad25553
15607c6293
hex3d755735

1031100213 has 64 divisors (see below), whose sum is σ = 1665619200. Its totient is φ = 559104000.

The previous prime is 1031100197. The next prime is 1031100233. The reversal of 1031100213 is 3120011301.

It is not a de Polignac number, because 1031100213 - 24 = 1031100197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031100233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2296213 + ... + 2296661.

It is an arithmetic number, because the mean of its divisors is an integer number (26025300).

Almost surely, 21031100213 is an apocalyptic number.

1031100213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1031100213 is a deficient number, since it is larger than the sum of its proper divisors (634518987).

1031100213 is a wasteful number, since it uses less digits than its factorization.

1031100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1031100213 is about 32110.7491815436. The cubic root of 1031100213 is about 1010.2610876179.

Adding to 1031100213 its reverse (3120011301), we get a palindrome (4151111514).

The spelling of 1031100213 in words is "one billion, thirty-one million, one hundred thousand, two hundred thirteen".

Divisors: 1 3 11 13 33 39 53 101 143 159 303 429 449 583 689 1111 1313 1347 1749 2067 3333 3939 4939 5353 5837 7579 14443 14817 16059 17511 22737 23797 43329 45349 58883 64207 69589 71391 136047 176649 192621 208767 261767 309361 498839 589537 765479 785301 928083 1496517 1768611 2296437 2403497 3402971 6484907 7210491 10208913 19454721 26438467 31245461 79315401 93736383 343700071 1031100213