Search a number
-
+
10531074204 = 22327672232797
BaseRepresentation
bin10011100111011001…
…10111000010011100
31000011221001222222100
421303230313002130
5133031423333304
64500553245100
7521653440150
oct116354670234
930157058870
1010531074204
114514575a12
12205aa03790
13cbaa32471
1471c8c7060
15419813439
hex273b3709c

10531074204 has 144 divisors (see below), whose sum is σ = 31026731008. Its totient is φ = 2949623424.

The previous prime is 10531074187. The next prime is 10531074209. The reversal of 10531074204 is 40247013501.

It is a super-2 number, since 2×105310742042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10531074209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3763734 + ... + 3766530.

Almost surely, 210531074204 is an apocalyptic number.

10531074204 is a gapful number since it is divisible by the number (14) 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 10531074204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513365504).

10531074204 is an abundant number, since it is smaller than the sum of its proper divisors (20495656804).

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

10531074204 is a wasteful number, since it uses less digits than its factorization.

10531074204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 10531074204 its reverse (40247013501), we get a palindrome (50778087705).

The spelling of 10531074204 in words is "ten billion, five hundred thirty-one million, seventy-four thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 223 252 268 402 446 469 603 669 804 892 938 1206 1338 1407 1561 1876 2007 2412 2676 2797 2814 3122 4014 4221 4683 5594 5628 6244 8028 8391 8442 9366 11188 14049 14941 16782 16884 18732 19579 25173 28098 29882 33564 39158 44823 50346 56196 58737 59764 78316 89646 100692 104587 117474 134469 176211 179292 187399 209174 234948 268938 313761 352422 374798 418348 537876 562197 623731 627522 704844 749596 941283 1124394 1247462 1255044 1311793 1686591 1871193 1882566 2248788 2494924 2623586 3373182 3742386 3765132 3935379 4366117 5247172 5613579 6746364 7484772 7870758 8732234 11227158 11806137 13098351 15741516 17464468 22454316 23612274 26196702 39295053 41789977 47224548 52393404 78590106 83579954 125369931 157180212 167159908 250739862 292529839 376109793 501479724 585059678 752219586 877589517 1170119356 1504439172 1755179034 2632768551 3510358068 5265537102 10531074204