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1127224120 = 235112561873
BaseRepresentation
bin100001100110000…
…0001001100111000
32220120001220210111
41003030001030320
54302032132440
6303504154104
736635150461
oct10314011470
92816056714
101127224120
1152931a190
12275608934
1314c6c3329
14a99c7d68
1568e624ea
hex43301338

1127224120 has 32 divisors (see below), whose sum is σ = 2766823920. Its totient is φ = 409899520.

The previous prime is 1127224097. The next prime is 1127224121. The reversal of 1127224120 is 214227211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1127224091 and 1127224100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127224121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1280497 + ... + 1281376.

Almost surely, 21127224120 is an apocalyptic number.

1127224120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1127224120 is an abundant number, since it is smaller than the sum of its proper divisors (1639599800).

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

1127224120 is a wasteful number, since it uses less digits than its factorization.

1127224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561895 (or 2561891 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 1127224120 is about 33574.1585151438. The cubic root of 1127224120 is about 1040.7268464319.

The spelling of 1127224120 in words is "one billion, one hundred twenty-seven million, two hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2561873 5123746 10247492 12809365 20494984 25618730 28180603 51237460 56361206 102474920 112722412 140903015 225444824 281806030 563612060 1127224120