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1112034825 = 375211432
BaseRepresentation
bin100001001001000…
…0100111000001001
32212111111020000000
41002102010320021
54234140103300
6302202433213
736362066016
oct10222047011
92774436000
101112034825
11520795250
12270502809
13149505795
14a799270d
1567961c00
hex42484e09

1112034825 has 144 divisors (see below), whose sum is σ = 2309762880. Its totient is φ = 526629600.

The previous prime is 1112034809. The next prime is 1112034827. The reversal of 1112034825 is 5284302111.

It is not a de Polignac number, because 1112034825 - 24 = 1112034809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1112034827) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25861254 + ... + 25861296.

It is an arithmetic number, because the mean of its divisors is an integer number (16040020).

Almost surely, 21112034825 is an apocalyptic number.

1112034825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1112034825 is an abundant number, since it is smaller than the sum of its proper divisors (1197728055).

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

1112034825 is an frugal number, since it uses more digits than its factorization.

1112034825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1112034825 is about 33347.1861631533. The cubic root of 1112034825 is about 1036.0311085330.

Adding to 1112034825 its reverse (5284302111), we get a palindrome (6396336936).

The spelling of 1112034825 in words is "one billion, one hundred twelve million, thirty-four thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 43 45 55 75 81 99 129 135 165 215 225 243 275 297 387 405 473 495 645 675 729 825 891 1075 1161 1215 1419 1485 1849 1935 2025 2187 2365 2475 2673 3225 3483 3645 4257 4455 5547 5805 6075 7095 7425 8019 9245 9675 10449 10935 11825 12771 13365 16641 17415 18225 20339 21285 22275 24057 27735 29025 31347 35475 38313 40095 46225 49923 52245 54675 61017 63855 66825 83205 87075 94041 101695 106425 114939 120285 138675 149769 156735 183051 191565 200475 249615 261225 305085 319275 344817 416025 449307 470205 508475 549153 574695 601425 748845 783675 915255 957825 1034451 1248075 1347921 1525425 1647459 1724085 2246535 2351025 2745765 2873475 3744225 4043763 4576275 4942377 5172255 6739605 8237295 8620425 11232675 13728825 14827131 20218815 24711885 25861275 33698025 41186475 44481393 74135655 101094075 123559425 222406965 370678275 1112034825