Search a number
-
+
10525111000 = 235353712797
BaseRepresentation
bin10011100110101100…
…00111001011011000
31000011111212000222221
421303112013023120
5133023412023000
64500221353424
7521551652545
oct116326071330
930144760887
1010525111000
114511172748
122058a08874
13cb9725141
1471bbb3bcc
1541903661a
hex2735872d8

10525111000 has 128 divisors (see below), whose sum is σ = 25455980160. Its totient is φ = 4070976000.

The previous prime is 10525110977. The next prime is 10525111049. The reversal of 10525111000 is 11152501.

10525111000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105251110002 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3761602 + ... + 3764398.

It is an arithmetic number, because the mean of its divisors is an integer number (198874845).

Almost surely, 210525111000 is an apocalyptic number.

10525111000 is a gapful number since it is divisible by the number (10) 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 10525111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12727990080).

10525111000 is an abundant number, since it is smaller than the sum of its proper divisors (14930869160).

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

10525111000 is a wasteful number, since it uses less digits than its factorization.

10525111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 16.

Adding to 10525111000 its reverse (11152501), we get a palindrome (10536263501).

The spelling of 10525111000 in words is "ten billion, five hundred twenty-five million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 71 100 106 125 142 200 212 250 265 284 355 424 500 530 568 710 1000 1060 1325 1420 1775 2120 2650 2797 2840 3550 3763 5300 5594 6625 7100 7526 8875 10600 11188 13250 13985 14200 15052 17750 18815 22376 26500 27970 30104 35500 37630 53000 55940 69925 71000 75260 94075 111880 139850 148241 150520 188150 198587 279700 296482 349625 376300 397174 470375 559400 592964 699250 741205 752600 794348 940750 992935 1185928 1398500 1482410 1588696 1881500 1985870 2797000 2964820 3706025 3763000 3971740 4964675 5929640 7412050 7943480 9929350 10525111 14824100 18530125 19858700 21050222 24823375 29648200 37060250 39717400 42100444 49646750 52625555 74120500 84200888 99293500 105251110 148241000 198587000 210502220 263127775 421004440 526255550 1052511100 1315638875 2105022200 2631277750 5262555500 10525111000