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1105252120 = 235723732351
BaseRepresentation
bin100000111100000…
…1100111100011000
32212000201121212201
41001320030330120
54230421031440
6301401215544
736250326250
oct10170147430
92760647781
101105252120
11517982305
1226a1915b4
13147c9c44b
14a6b08960
156707219a
hex41e0cf18

1105252120 has 128 divisors (see below), whose sum is σ = 3007549440. Its totient is φ = 357350400.

The previous prime is 1105252103. The next prime is 1105252121. The reversal of 1105252120 is 212525011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105252121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 468945 + ... + 471295.

It is an arithmetic number, because the mean of its divisors is an integer number (23496480).

Almost surely, 21105252120 is an apocalyptic number.

1105252120 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 1105252120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503774720).

1105252120 is an abundant number, since it is smaller than the sum of its proper divisors (1902297320).

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

1105252120 is a wasteful number, since it uses less digits than its factorization.

1105252120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 1105252120 is about 33245.3323039491. The cubic root of 1105252120 is about 1033.9204345492.

Adding to 1105252120 its reverse (212525011), we get a palindrome (1317777131).

The spelling of 1105252120 in words is "one billion, one hundred five million, two hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 73 92 115 140 146 161 184 230 280 292 322 365 460 511 584 644 730 805 920 1022 1288 1460 1610 1679 2044 2351 2555 2920 3220 3358 4088 4702 5110 6440 6716 8395 9404 10220 11753 11755 13432 16457 16790 18808 20440 23506 23510 32914 33580 47012 47020 54073 58765 65828 67160 82285 94024 94040 108146 117530 131656 164570 171623 216292 235060 270365 329140 343246 378511 432584 470120 540730 658280 686492 757022 858115 1081460 1201361 1372984 1514044 1716230 1892555 2162920 2402722 3028088 3432460 3785110 3947329 4805444 6006805 6864920 7570220 7894658 9610888 12013610 15140440 15789316 19736645 24027220 27631303 31578632 39473290 48054440 55262606 78946580 110525212 138156515 157893160 221050424 276313030 552626060 1105252120