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11131202240 = 265293138693
BaseRepresentation
bin10100101110111100…
…01010101011000000
31001201202022122212122
422113132022223000
5140244041432430
65040312143412
7542561441444
oct122736125300
931652278778
1011131202240
1147a2300aa4
1221a7997b68
131085174402
147784a4824
15452358ee5
hex29778aac0

11131202240 has 112 divisors (see below), whose sum is σ = 28305434880. Its totient is φ = 4160163840.

The previous prime is 11131202227. The next prime is 11131202339. The reversal of 11131202240 is 4220213111.

It is a super-3 number, since 3×111312022403 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268334 + ... + 307026.

Almost surely, 211131202240 is an apocalyptic number.

11131202240 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 11131202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152717440).

11131202240 is an abundant number, since it is smaller than the sum of its proper divisors (17174232640).

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

11131202240 is a wasteful number, since it uses less digits than its factorization.

11131202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38770 (or 38760 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11131202240 its reverse (4220213111), we get a palindrome (15351415351).

The spelling of 11131202240 in words is "eleven billion, one hundred thirty-one million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 31 32 40 58 62 64 80 116 124 145 155 160 232 248 290 310 320 464 496 580 620 899 928 992 1160 1240 1798 1856 1984 2320 2480 3596 4495 4640 4960 7192 8990 9280 9920 14384 17980 28768 35960 38693 57536 71920 77386 143840 154772 193465 287680 309544 386930 619088 773860 1122097 1199483 1238176 1547720 2244194 2398966 2476352 3095440 4488388 4797932 5610485 5997415 6190880 8976776 9595864 11220970 11994830 12381760 17953552 19191728 22441940 23989660 34785007 35907104 38383456 44883880 47979320 69570014 71814208 76766912 89767760 95958640 139140028 173925035 179535520 191917280 278280056 347850070 359071040 383834560 556560112 695700140 1113120224 1391400280 2226240448 2782800560 5565601120 11131202240