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1123204120 = 235472692221
BaseRepresentation
bin100001011110010…
…1011110000011000
32220021111200101121
41002330223300120
54300020012440
6303242055024
736556035403
oct10274536030
92807450347
101123204120
11527023975
122741aa474
1314b91662c
14a925cd3a
156891b34a
hex42f2bc18

1123204120 has 64 divisors (see below), whose sum is σ = 2591740800. Its totient is φ = 437890560.

The previous prime is 1123204099. The next prime is 1123204123. The reversal of 1123204120 is 214023211.

It is a junction number, because it is equal to n+sod(n) for n = 1123204094 and 1123204103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123204123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504610 + ... + 506830.

It is an arithmetic number, because the mean of its divisors is an integer number (40495950).

Almost surely, 21123204120 is an apocalyptic number.

1123204120 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 1123204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295870400).

1123204120 is an abundant number, since it is smaller than the sum of its proper divisors (1468536680).

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

1123204120 is a wasteful number, since it uses less digits than its factorization.

1123204120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1123204120 is about 33514.2375715158. The cubic root of 1123204120 is about 1039.4881973851.

Adding to 1123204120 its reverse (214023211), we get a palindrome (1337227331).

The spelling of 1123204120 in words is "one billion, one hundred twenty-three million, two hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 269 376 470 538 940 1076 1345 1880 2152 2221 2690 4442 5380 8884 10760 11105 12643 17768 22210 25286 44420 50572 63215 88840 101144 104387 126430 208774 252860 417548 505720 521935 597449 835096 1043870 1194898 2087740 2389796 2987245 4175480 4779592 5974490 11948980 23897960 28080103 56160206 112320412 140400515 224640824 280801030 561602060 1123204120