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11304513060 = 2235376078389
BaseRepresentation
bin10101000011100110…
…10010111000100100
31002011211102202121220
422201303102320210
5141122423404220
65105422540340
7550064530011
oct124163227044
932154382556
1011304513060
114881114a85
122235a376b0
1310b20456a9
147934da708
15462690540
hex2a1cd2e24

11304513060 has 96 divisors (see below), whose sum is σ = 32565550080. Its totient is φ = 2927881728.

The previous prime is 11304513053. The next prime is 11304513067. The reversal of 11304513060 is 6031540311.

It is an interprime number because it is at equal distance from previous prime (11304513053) and next prime (11304513067).

It is a super-3 number, since 3×113045130603 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11304513060.

It is not an unprimeable number, because it can be changed into a prime (11304513067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343346 + ... + 1351734.

It is an arithmetic number, because the mean of its divisors is an integer number (339224480).

Almost surely, 211304513060 is an apocalyptic number.

11304513060 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 11304513060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16282775040).

11304513060 is an abundant number, since it is smaller than the sum of its proper divisors (21261037020).

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

11304513060 is a wasteful number, since it uses less digits than its factorization.

11304513060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9045 (or 9043 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 11304513060 in words is "eleven billion, three hundred four million, five hundred thirteen thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 607 740 1110 1214 1821 2220 2428 3035 3642 6070 7284 8389 9105 12140 16778 18210 22459 25167 33556 36420 41945 44918 50334 67377 83890 89836 100668 112295 125835 134754 167780 224590 251670 269508 310393 336885 449180 503340 620786 673770 931179 1241572 1347540 1551965 1862358 3103930 3724716 4655895 5092123 6207860 9311790 10184246 15276369 18623580 20368492 25460615 30552738 50921230 61105476 76381845 101842460 152763690 188408551 305527380 376817102 565225653 753634204 942042755 1130451306 1884085510 2260902612 2826128265 3768171020 5652256530 11304513060