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1125120810 = 2351110133757
BaseRepresentation
bin100001100001111…
…1111101100101010
32220102010001121010
41003003333230222
54301012331220
6303351124350
736611240412
oct10303775452
92812101533
101125120810
11528112a10
122749736b6
1314c137b78
14a95db642
1568b991e0
hex430ffb2a

1125120810 has 64 divisors (see below), whose sum is σ = 2975025024. Its totient is φ = 270048000.

The previous prime is 1125120793. The next prime is 1125120833. The reversal of 1125120810 is 180215211.

It is a super-2 number, since 2×11251208102 = 2531793674190112200, which contains 22 as substring.

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, 16452 + ... + 50208.

It is an arithmetic number, because the mean of its divisors is an integer number (46484766).

Almost surely, 21125120810 is an apocalyptic number.

1125120810 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 1125120810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487512512).

1125120810 is an abundant number, since it is smaller than the sum of its proper divisors (1849904214).

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

1125120810 is a wasteful number, since it uses less digits than its factorization.

1125120810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33879.

The product of its (nonzero) digits is 160, while the sum is 21.

The square root of 1125120810 is about 33542.8205432996. The cubic root of 1125120810 is about 1040.0791390714.

The spelling of 1125120810 in words is "one billion, one hundred twenty-five million, one hundred twenty thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3030 3333 5555 6666 11110 16665 33330 33757 67514 101271 168785 202542 337570 371327 506355 742654 1012710 1113981 1856635 2227962 3409457 3713270 5569905 6818914 10228371 11139810 17047285 20456742 34094570 37504027 51141855 75008054 102283710 112512081 187520135 225024162 375040270 562560405 1125120810