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11034043300 = 22527107179823
BaseRepresentation
bin10100100011010111…
…00010001110100100
31001110222111110212101
422101223202032210
5140044203341200
65022521501444
7540301551310
oct122153421644
931428443771
1011034043300
114752480055
12217b341884
13106acb6b07
14769612b40
15448a6626a
hex291ae23a4

11034043300 has 144 divisors (see below), whose sum is σ = 27808220160. Its totient is φ = 3722279040.

The previous prime is 11034043277. The next prime is 11034043303. The reversal of 11034043300 is 334043011.

It is a super-2 number, since 2×110340433002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11034043303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13406689 + ... + 13407511.

It is an arithmetic number, because the mean of its divisors is an integer number (193112640).

Almost surely, 211034043300 is an apocalyptic number.

11034043300 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 11034043300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904110080).

11034043300 is an abundant number, since it is smaller than the sum of its proper divisors (16774176860).

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

11034043300 is a wasteful number, since it uses less digits than its factorization.

11034043300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 11034043300 its reverse (334043011), we get a palindrome (11368086311).

It can be divided in two parts, 1103404 and 3300, that added together give a square (1106704 = 10522).

The spelling of 11034043300 in words is "eleven billion, thirty-four million, forty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 107 140 175 179 214 350 358 428 535 700 716 749 823 895 1070 1253 1498 1646 1790 2140 2506 2675 2996 3292 3580 3745 4115 4475 5012 5350 5761 6265 7490 8230 8950 10700 11522 12530 14980 16460 17900 18725 19153 20575 23044 25060 28805 31325 37450 38306 41150 57610 62650 74900 76612 82300 88061 95765 115220 125300 134071 144025 147317 176122 191530 268142 288050 294634 352244 383060 440305 478825 536284 576100 589268 616427 670355 736585 880610 957650 1031219 1232854 1340710 1473170 1761220 1915300 2062438 2201525 2465708 2681420 2946340 3082135 3351775 3682925 4124876 4403050 5156095 6164270 6703550 7365850 8806100 10312190 12328540 13407100 14731700 15410675 15762919 20624380 25780475 30821350 31525838 51560950 61642700 63051676 78814595 103121900 110340433 157629190 220680866 315258380 394072975 441361732 551702165 788145950 1103404330 1576291900 2206808660 2758510825 5517021650 11034043300