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1132123120 = 24567211217
BaseRepresentation
bin100001101111010…
…1101001111110000
32220220021210221221
41003132231033300
54304310414440
6304201154424
740024613332
oct10336551760
92826253857
101132123120
11531065947
1227718ba14
1315071a14b
14aa501452
15695cdd4a
hex437ad3f0

1132123120 has 40 divisors (see below), whose sum is σ = 2671485264. Its totient is φ = 446088192.

The previous prime is 1132123103. The next prime is 1132123129. The reversal of 1132123120 is 213212311.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1132123094 and 1132123103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132123129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 100249 + ... + 110968.

Almost surely, 21132123120 is an apocalyptic number.

1132123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132123120 is an abundant number, since it is smaller than the sum of its proper divisors (1539362144).

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

1132123120 is a wasteful number, since it uses less digits than its factorization.

1132123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211297 (or 211291 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1132123120 is about 33647.0373138557. The cubic root of 1132123120 is about 1042.2323596446.

Adding to 1132123120 its reverse (213212311), we get a palindrome (1345335431).

The spelling of 1132123120 in words is "one billion, one hundred thirty-two million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 211217 422434 844868 1056085 1689736 2112170 3379472 4224340 8448680 14151539 16897360 28303078 56606156 70757695 113212312 141515390 226424624 283030780 566061560 1132123120