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11035315140 = 22351924991021
BaseRepresentation
bin10100100011100000…
…11000101111000100
31001111001220002111120
422101300120233010
5140100020041030
65023005033540
7540315426303
oct122160305704
931431802446
1011035315140
114753169663
12217b8558b0
13106b340995
1476986443a
15448c18010
hex291c18bc4

11035315140 has 144 divisors (see below), whose sum is σ = 32708088000. Its totient is φ = 2779557120.

The previous prime is 11035315139. The next prime is 11035315169. The reversal of 11035315140 is 4151353011.

It is a super-2 number, since 2×110353151402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11035315140.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10807830 + ... + 10808850.

It is an arithmetic number, because the mean of its divisors is an integer number (227139500).

Almost surely, 211035315140 is an apocalyptic number.

11035315140 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 11035315140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16354044000).

11035315140 is an abundant number, since it is smaller than the sum of its proper divisors (21672772860).

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

11035315140 is a wasteful number, since it uses less digits than its factorization.

11035315140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 11035315140 its reverse (4151353011), we get a palindrome (15186668151).

The spelling of 11035315140 in words is "eleven billion, thirty-five million, three hundred fifteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 499 570 722 998 1021 1083 1140 1444 1497 1805 1996 2042 2166 2495 2994 3063 3610 4084 4332 4990 5105 5415 5988 6126 7220 7485 9481 9980 10210 10830 12252 14970 15315 18962 19399 20420 21660 28443 29940 30630 37924 38798 47405 56886 58197 61260 77596 94810 96995 113772 116394 142215 180139 189620 193990 232788 284430 290985 360278 368581 387980 509479 540417 568860 581970 720556 737162 900695 1018958 1080834 1105743 1163940 1474324 1528437 1801390 1842905 2037916 2161668 2211486 2547395 2702085 3056874 3602780 3685810 4422972 5094790 5404170 5528715 6113748 7371620 7642185 9680101 10189580 10808340 11057430 15284370 19360202 22114860 29040303 30568740 38720404 48400505 58080606 96801010 116161212 145201515 183921919 193602020 290403030 367843838 551765757 580806060 735687676 919609595 1103531514 1839219190 2207063028 2758828785 3678438380 5517657570 11035315140