Search a number
-
+
1105115130 = 23357311933
BaseRepresentation
bin100000111011110…
…1011011111111010
32212000110122222000
41001313223133322
54230402141010
6301354241430
736246216000
oct10167533772
92760418860
101105115130
11517899399
1226a126276
13147c51ca2
14a6ab0a70
15670467c0
hex41deb7fa

1105115130 has 128 divisors (see below), whose sum is σ = 3436992000. Its totient is φ = 252576576.

The previous prime is 1105115117. The next prime is 1105115147. The reversal of 1105115130 is 315115011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86644 + ... + 98576.

It is an arithmetic number, because the mean of its divisors is an integer number (26851500).

Almost surely, 21105115130 is an apocalyptic number.

1105115130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105115130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718496000).

1105115130 is an abundant number, since it is smaller than the sum of its proper divisors (2331876870).

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

1105115130 is a wasteful number, since it uses less digits than its factorization.

1105115130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11970 (or 11950 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 18.

The square root of 1105115130 is about 33243.2719508775. The cubic root of 1105115130 is about 1033.8777165094.

The spelling of 1105115130 in words is "one billion, one hundred five million, one hundred fifteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 343 378 441 490 630 686 735 882 945 1029 1323 1470 1715 1890 2058 2205 2646 3087 3430 4410 5145 6174 6615 9261 10290 11933 13230 15435 18522 23866 30870 35799 46305 59665 71598 83531 92610 107397 119330 167062 178995 214794 250593 322191 357990 417655 501186 536985 584717 644382 751779 835310 1073970 1169434 1252965 1503558 1610955 1754151 2255337 2505930 2923585 3221910 3508302 3758895 4093019 4510674 5262453 5847170 7517790 8186038 8770755 10524906 11276685 12279057 15787359 17541510 20465095 22553370 24558114 26312265 31574718 36837171 40930190 52624530 61395285 73674342 78936795 110511513 122790570 157873590 184185855 221023026 368371710 552557565 1105115130