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1121055140 = 2251714922129
BaseRepresentation
bin100001011010001…
…1111000110100100
32220010110111112202
41002310133012210
54243442231030
6303124034032
736531545222
oct10264370644
92803414482
101121055140
11525896357
12273532918
1314b34344a
14a8c5db12
1568644745
hex42d1f1a4

1121055140 has 48 divisors (see below), whose sum is σ = 2509542000. Its totient is φ = 419192832.

The previous prime is 1121055137. The next prime is 1121055151. The reversal of 1121055140 is 415501211.

It can be written as a sum of positive squares in 8 ways, for example, as 25180324 + 1095874816 = 5018^2 + 33104^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39596 + ... + 61724.

It is an arithmetic number, because the mean of its divisors is an integer number (52282125).

Almost surely, 21121055140 is an apocalyptic number.

1121055140 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 1121055140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254771000).

1121055140 is an abundant number, since it is smaller than the sum of its proper divisors (1388486860).

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

1121055140 is a wasteful number, since it uses less digits than its factorization.

1121055140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22304 (or 22302 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 1121055140 is about 33482.1615192329. The cubic root of 1121055140 is about 1038.8248375498.

Adding to 1121055140 its reverse (415501211), we get a palindrome (1536556351).

The spelling of 1121055140 in words is "one billion, one hundred twenty-one million, fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 149 170 298 340 596 745 1490 2533 2980 5066 10132 12665 22129 25330 44258 50660 88516 110645 221290 376193 442580 752386 1504772 1880965 3297221 3761930 6594442 7523860 13188884 16486105 32972210 56052757 65944420 112105514 224211028 280263785 560527570 1121055140