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1130030120 = 235177692161
BaseRepresentation
bin100001101011010…
…1110010000101000
32220202100110220102
41003112232100220
54303241430440
6304044244532
740001045312
oct10326562050
92822313812
101130030120
1152a96639a
12276540748
1315016659b
14aa1187b2
1569318b15
hex435ae428

1130030120 has 64 divisors (see below), whose sum is σ = 2696878800. Its totient is φ = 424673280.

The previous prime is 1130030081. The next prime is 1130030131. The reversal of 1130030120 is 210300311.

It can be written as a sum of positive squares in 8 ways, for example, as 661827076 + 468203044 = 25726^2 + 21638^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521840 + ... + 524000.

Almost surely, 21130030120 is an apocalyptic number.

1130030120 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 1130030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348439400).

1130030120 is an abundant number, since it is smaller than the sum of its proper divisors (1566848680).

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

1130030120 is a wasteful number, since it uses less digits than its factorization.

1130030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1130030120 is about 33615.9206329382. The cubic root of 1130030120 is about 1041.5896916204.

Adding to 1130030120 its reverse (210300311), we get a palindrome (1340330431).

The spelling of 1130030120 in words is "one billion, one hundred thirty million, thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 769 1538 2161 3076 3845 4322 6152 7690 8644 10805 13073 15380 17288 21610 26146 30760 36737 43220 52292 65365 73474 86440 104584 130730 146948 183685 261460 293896 367370 522920 734740 1469480 1661809 3323618 6647236 8309045 13294472 16618090 28250753 33236180 56501506 66472360 113003012 141253765 226006024 282507530 565015060 1130030120