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11030531120 = 2457215717923
BaseRepresentation
bin10100100010111100…
…01000110000110000
31001110201220001001122
422101132020300300
5140042303443440
65022314321412
7540226652600
oct122136106060
931421801048
1011030531120
1147504a1324
12217a129268
13106a3572bb
14768d7ac00
154485c07b5
hex291788c30

11030531120 has 120 divisors (see below), whose sum is σ = 30024779184. Its totient is φ = 3757598208.

The previous prime is 11030531117. The next prime is 11030531167. The reversal of 11030531120 is 2113503011.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 606479 + ... + 624401.

Almost surely, 211030531120 is an apocalyptic number.

11030531120 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 11030531120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15012389592).

11030531120 is an abundant number, since it is smaller than the sum of its proper divisors (18994248064).

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

11030531120 is a wasteful number, since it uses less digits than its factorization.

11030531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18107 (or 18094 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The spelling of 11030531120 in words is "eleven billion, thirty million, five hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 157 196 245 280 314 392 490 560 628 784 785 980 1099 1256 1570 1960 2198 2512 3140 3920 4396 5495 6280 7693 8792 10990 12560 15386 17584 17923 21980 30772 35846 38465 43960 61544 71692 76930 87920 89615 123088 125461 143384 153860 179230 250922 286768 307720 358460 501844 615440 627305 716920 878227 1003688 1254610 1433840 1756454 2007376 2509220 2813911 3512908 4391135 5018440 5627822 7025816 8782270 10036880 11255644 14051632 14069555 17564540 19697377 22511288 28139110 35129080 39394754 45022576 56278220 70258160 78789508 98486885 112556440 137881639 157579016 196973770 225112880 275763278 315158032 393947540 551526556 689408195 787895080 1103053112 1378816390 1575790160 2206106224 2757632780 5515265560 11030531120