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11032150140 = 223251137150589
BaseRepresentation
bin10100100011001000…
…10100000001111100
31001110211221021221100
422101210110001330
5140043212301030
65022413133100
7540246505014
oct122144240174
931424837840
1011032150140
1147513a7760
12217a78a190
13106a7a31bb
1476927cc44
154487e0360
hex29191407c

11032150140 has 144 divisors (see below), whose sum is σ = 37493295840. Its totient is φ = 2602160640.

The previous prime is 11032150097. The next prime is 11032150243. The reversal of 11032150140 is 4105123011.

11032150140 is a `hidden beast` number, since 1 + 103 + 21 + 501 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2035 + ... + 148554.

It is an arithmetic number, because the mean of its divisors is an integer number (260370110).

Almost surely, 211032150140 is an apocalyptic number.

11032150140 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 11032150140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18746647920).

11032150140 is an abundant number, since it is smaller than the sum of its proper divisors (26461145700).

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

11032150140 is a wasteful number, since it uses less digits than its factorization.

11032150140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150652 (or 150647 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 11032150140 its reverse (4105123011), we get a palindrome (15137273151).

It can be divided in two parts, 110321 and 50140, that added together give a triangular number (160461 = T566).

The spelling of 11032150140 in words is "eleven billion, thirty-two million, one hundred fifty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 150589 301178 451767 602356 752945 903534 1355301 1505890 1656479 1807068 2258835 2710602 3011780 3312958 4517670 4969437 5421204 5571793 6625916 6776505 8282395 9035340 9938874 11143586 13553010 14908311 16564790 16715379 19877748 22287172 24847185 27106020 27858965 29816622 33129580 33430758 49694370 50146137 55717930 59633244 61289723 66861516 74541555 83576895 99388740 100292274 111435860 122579446 149083110 167153790 183869169 200584548 245158892 250730685 298166220 306448615 334307580 367738338 501461370 551607507 612897230 735476676 919345845 1002922740 1103215014 1225794460 1838691690 2206430028 2758037535 3677383380 5516075070 11032150140