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11148234120 = 233455364921
BaseRepresentation
bin10100110000111110…
…01000110110001000
31001202221100222020000
422120133020312020
5140312421442440
65042121203000
7543156266202
oct123037106610
931687328200
1011148234120
114800984331
1221b1630460
13108885884a
1477a859772
15453ac0730
hex2987c8d88

11148234120 has 160 divisors (see below), whose sum is σ = 38178031320. Its totient is φ = 2916725760.

The previous prime is 11148234101. The next prime is 11148234121. The reversal of 11148234120 is 2143284111.

It can be written as a sum of positive squares in 4 ways, for example, as 7002677124 + 4145556996 = 83682^2 + 64386^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11148234121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139260 + ... + 204180.

Almost surely, 211148234120 is an apocalyptic number.

11148234120 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 11148234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19089015660).

11148234120 is an abundant number, since it is smaller than the sum of its proper divisors (27029797200).

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

11148234120 is a wasteful number, since it uses less digits than its factorization.

11148234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64997 (or 64984 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 11148234120 in words is "eleven billion, one hundred forty-eight million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 81 90 106 108 120 135 159 162 180 212 216 265 270 318 324 360 405 424 477 530 540 636 648 795 810 954 1060 1080 1272 1431 1590 1620 1908 2120 2385 2862 3180 3240 3816 4293 4770 5724 6360 7155 8586 9540 11448 14310 17172 19080 21465 28620 34344 42930 57240 64921 85860 129842 171720 194763 259684 324605 389526 519368 584289 649210 779052 973815 1168578 1298420 1558104 1752867 1947630 2337156 2596840 2921445 3440813 3505734 3895260 4674312 5258601 5842890 6881626 7011468 7790520 8764335 10322439 10517202 11685780 13763252 14022936 17204065 17528670 20644878 21034404 23371560 26293005 27526504 30967317 34408130 35057340 41289756 42068808 51612195 52586010 61934634 68816260 70114680 82579512 92901951 103224390 105172020 123869268 137632520 154836585 185803902 206448780 210344040 247738536 278705853 309673170 371607804 412897560 464509755 557411706 619346340 743215608 929019510 1114823412 1238692680 1393529265 1858039020 2229646824 2787058530 3716078040 5574117060 11148234120